Meta-ticket: Families, posets, complexes of manifold subsets

Question

Meta-ticket: Families, posets, complexes of manifold subsets

mkoeppe opened this issue 5 years ago · 30 comments

mkoeppe commented 5 years ago

New subsets:

#31674 Make open subsets of immersed/embedded submanifolds immersed/embedded submanifolds (merged in Sage 9.4.beta1)
#31677 Open subsets of arbitrary subsets of manifolds (merged in Sage 9.4.beta1)
#31653 Images of continuous maps and embedded submanifolds as manifold subsets (merged in Sage 9.4.beta1)
#31765 DegenerateManifold: update subsets code
#31644 Topological closure of manifold subsets, methods ManifoldSubset.closure, is_closed, declare_closed (merged in Sage 9.4.beta4)
#31757 Topological interior of manifold subsets
#31745 Images of differentiable maps
#31688 Pullbacks (preimages) of manifold subsets under continuous maps (merged in Sage 9.4.beta5)
#31724 ManifoldFiniteSubset
#31685 ContinuousMap.image: if map is an isomorphism and domain_subset is open, create a submanifold
#31743 Charts, transitions, subsets with restrictions defined using NNC_Polyhedron

RealSet (see also Meta-ticket #20877):

#30832 Connect RealSet to sage.manifolds (merged in Sage 9.4.beta4)
#31878 Replace OpenInterval, RealLine instances by instances of a subclass of DifferentiableManifold+RealSet
#21243 RealSet: add closure and interior methods (merged in Sage 9.4.beta4)
#31881 RealSet: Extend constructors so that they can build manifold objects (merged in Sage 9.4.rc0)

Families and posets of manifold subsets:

#31680 Poset of manifold subsets (merged in Sage 9.4.beta3)
#31718 ManifoldSubset: Change some methods to generators (merged in Sage 9.4.beta3)
#31732 ManifoldSubset: New methods declare_empty, declare_nonempty, is_empty, has_defined_points, open_cover_family (merged in Sage 9.4.beta3)
#31727 ManifoldSubset: Add methods subset_family, superset_family, open_superset_family; deprecate method list_of_subsets (merged in Sage 9.4.beta3)
#31736 ManifoldSubset: New methods declare_equal, equal_subsets, equal_subset_family (merged in Sage 9.4.beta3)
#31763 ManifoldSubset: New methods declare_subset, declare_superset (merged in Sage 9.4.beta3)
#31764 ManifoldSubset: union, intersection, declare_{union,intersection} with arbitrary number of arguments (merged in Sage 9.4.beta3)
#31798 ManifoldSubset.difference, complement (merged in Sage 9.4.beta3)
#31766 ManifoldSubset: Replace use of _top_subsets by a generator
#31738 ManifoldSubset.intersection: Compute more supersets
#31682 manifolds: Add _test_... methods that check invariants of subset relations
#30263 declare_union yields wrong results

Geometric datastructure tools:

#32170 Containers for families of geometric objects

Topological tools:

#31741 ManifoldSubset.separating_open_supersets
#31744 ManifoldSubset: Propagate emptiness/nonemptiness using LP

Set_base and ConvexSet_base:

#31916 {Polyhedron, ConvexRationalPolyhedralCone}.{interior, relative_interior} (merged in Sage 9.4.beta4)
#31919 ABC for convex sets (merged in Sage 9.4.beta4)
#31959 PolyhedronFace: Make it a subclass of ConvexSet_closed (merged in Sage 9.4.beta4)
#31990 ConvexSet_base: Add methods an_element, some_elements (merged in Sage 9.4.beta5)
#32013 Initialize a Set from a ConvexSet_base instance (merged in Sage 9.4.beta6)
#32089 ConditionSet (merged in Sage 9.4.beta6)

Application to polyhedra and optimization:

#31659 Polyhedron.affine_hull_manifold (merged in Sage 9.4.beta3)
#31660 Polyhedron.relative_interior_manifold
#31728 manifolds.Sphere: Make relation to simplicial spheres more concrete
#31742 MixedIntegerLinearProgram.ambient_manifold, feasible_subset, objective_scalar_field, optimal_subset
#31376 Complex of differentiable manifolds associated with active sets of nonlinear optimization problems
#31751 Reformulations of optimization problems as continuous maps on manifolds

CC: @mjungmath @egourgoulhon @tscrim @yuan-zhou

Component: manifolds

Issue created by migration from https://trac.sagemath.org/ticket/31740

Answer 1 · 2021-04-27T16:40:47.000Z

Description changed:

--- 
+++ 
@@ -3,6 +3,7 @@
 - #31674 Make open subsets of immersed/embedded submanifolds immersed/embedded submanifolds
 - #31677 Open subsets of arbitrary subsets of manifolds
 - #31653 Images of continuous maps and embedded submanifolds as manifold subsets
+- #31644 Topological closure of manifold subsets, embedded submanifolds
 - #31688 Pullbacks of manifold subsets under continuous maps
 - #31724 `ManifoldFiniteSubset`
 - #31685 `ContinuousMap.image`: if map is an isomorphism and `domain_subset` is open, create a submanifold

Answer 2 · 2021-04-27T20:23:29.000Z

Description changed:

--- 
+++ 
@@ -19,9 +19,13 @@
 - #31682 manifolds: Add `_test_...` methods that check invariants of subset relations
 - #30263 `declare_union` yields wrong results
 
-Application to polyhedra:
+Topological tools:
+
+- #31741 `ManifoldSubset.separating_open_supersets`
+
+Application to polyhedra and optimization:
 
 - #31659 `Polyhedron.affine_hull_manifold`
 - #31660 `Polyhedron.relative_interior_manifold`
 - #31728 `manifolds.Sphere`: Make relation to simplicial spheres more concrete
-
+- #31742 `MixedIntegerLinearProgram.ambient_manifold`, `feasible_subset`, `objective_scalar_field`, `optimal_subset`

Answer 3 · 2021-04-27T20:57:42.000Z

Description changed:

--- 
+++ 
@@ -7,6 +7,7 @@
 - #31688 Pullbacks of manifold subsets under continuous maps
 - #31724 `ManifoldFiniteSubset`
 - #31685 `ContinuousMap.image`: if map is an isomorphism and `domain_subset` is open, create a submanifold
+- #31743 Charts, transitions, subsets with restrictions defined using `NNC_Polyhedron`
 
 Families and posets of manifold subsets:

Answer 4 · 2021-04-27T21:24:58.000Z

Description changed:

--- 
+++ 
@@ -23,6 +23,7 @@
 Topological tools:
 
 - #31741 `ManifoldSubset.separating_open_supersets`
+- #31744 `ManifoldSubset`: Propagate emptiness/nonemptiness using LP
 
 Application to polyhedra and optimization:

Answer 5 · 2021-04-27T21:41:22.000Z

Description changed:

--- 
+++ 
@@ -4,6 +4,7 @@
 - #31677 Open subsets of arbitrary subsets of manifolds
 - #31653 Images of continuous maps and embedded submanifolds as manifold subsets
 - #31644 Topological closure of manifold subsets, embedded submanifolds
+- #31745 Images of differentiable maps
 - #31688 Pullbacks of manifold subsets under continuous maps
 - #31724 `ManifoldFiniteSubset`
 - #31685 `ContinuousMap.image`: if map is an isomorphism and `domain_subset` is open, create a submanifold

Answer 6 · 2021-04-28T18:24:22.000Z

Description changed:

--- 
+++ 
@@ -32,3 +32,5 @@
 - #31660 `Polyhedron.relative_interior_manifold`
 - #31728 `manifolds.Sphere`: Make relation to simplicial spheres more concrete
 - #31742 `MixedIntegerLinearProgram.ambient_manifold`, `feasible_subset`, `objective_scalar_field`, `optimal_subset`
+- #31376 Complex of differentiable manifolds associated with active sets of nonlinear optimization problems
+

Answer 7 · 2021-04-28T18:59:05.000Z

Description changed:

--- 
+++ 
@@ -33,4 +33,4 @@
 - #31728 `manifolds.Sphere`: Make relation to simplicial spheres more concrete
 - #31742 `MixedIntegerLinearProgram.ambient_manifold`, `feasible_subset`, `objective_scalar_field`, `optimal_subset`
 - #31376 Complex of differentiable manifolds associated with active sets of nonlinear optimization problems
-
+- #31751 Reformulations of optimization problems as continuous maps on manifolds

Answer 8 · 2021-04-30T05:03:07.000Z

Description changed:

--- 
+++ 
@@ -3,7 +3,8 @@
 - #31674 Make open subsets of immersed/embedded submanifolds immersed/embedded submanifolds
 - #31677 Open subsets of arbitrary subsets of manifolds
 - #31653 Images of continuous maps and embedded submanifolds as manifold subsets
-- #31644 Topological closure of manifold subsets, embedded submanifolds
+- #31644 Topological closure of manifold subsets
+- #31757 Topological interior of manifold subsets
 - #31745 Images of differentiable maps
 - #31688 Pullbacks of manifold subsets under continuous maps
 - #31724 `ManifoldFiniteSubset`

Answer 9 · 2021-05-02T20:36:33.000Z

Description changed:

--- 
+++ 
@@ -18,6 +18,8 @@
 - #31732 `ManifoldSubset`: New methods `declare_empty`, `declare_nonempty`, `is_empty`, `has_defined_points`, `open_cover_family`
 - #31727 `ManifoldSubset`: Add methods `subset_family`, `superset_family`, `open_superset_family`; deprecate method `list_of_subsets`
 - #31736 `ManifoldSubset`: New methods `declare_equal`, `equal_subsets`, `equal_subset_family`
+- #31763 `ManifoldSubset`: New methods `declare_subset`, `declare_superset`
+- #31764 `ManifoldSubset`: `union`, `intersection`, `declare_{union,intersection}` with arbitrary number of arguments
 - #31738 `ManifoldSubset.intersection`: Compute more supersets
 - #31682 manifolds: Add `_test_...` methods that check invariants of subset relations
 - #30263 `declare_union` yields wrong results

Answer 10 · 2021-05-02T22:23:57.000Z

Description changed:

--- 
+++ 
@@ -3,6 +3,7 @@
 - #31674 Make open subsets of immersed/embedded submanifolds immersed/embedded submanifolds
 - #31677 Open subsets of arbitrary subsets of manifolds
 - #31653 Images of continuous maps and embedded submanifolds as manifold subsets
+- #31765 `DegenerateManifold`: update subsets code
 - #31644 Topological closure of manifold subsets
 - #31757 Topological interior of manifold subsets
 - #31745 Images of differentiable maps

Answer 11 · 2021-05-02T22:43:53.000Z

Description changed:

--- 
+++ 
@@ -21,6 +21,7 @@
 - #31736 `ManifoldSubset`: New methods `declare_equal`, `equal_subsets`, `equal_subset_family`
 - #31763 `ManifoldSubset`: New methods `declare_subset`, `declare_superset`
 - #31764 `ManifoldSubset`: `union`, `intersection`, `declare_{union,intersection}` with arbitrary number of arguments
+- #31766 `ManifoldSubset`: Replace use of `_top_subsets` by a generator
 - #31738 `ManifoldSubset.intersection`: Compute more supersets
 - #31682 manifolds: Add `_test_...` methods that check invariants of subset relations
 - #30263 `declare_union` yields wrong results

Answer 12 · 2021-05-08T23:47:53.000Z

comment:13

For me, it gets harder and harder to keep track of the actual changes taking place in a particular ticket since there are a lot of cross-dependencies and no positively reviewed tickets have been merged lately, meaning the changes swiftly accumulate.

It might be helpful to state the ticket number in the commits which would make it easier to track the differences down, at least for me.

Or perhaps there is a nice git feature I am not aware of?

Answer 13 · 2021-05-09T00:44:50.000Z

comment:14

git log --first-parent goes a long way

Answer 14 · 2021-05-09T01:05:27.000Z

Description changed:

--- 
+++ 
@@ -4,7 +4,7 @@
 - #31677 Open subsets of arbitrary subsets of manifolds
 - #31653 Images of continuous maps and embedded submanifolds as manifold subsets
 - #31765 `DegenerateManifold`: update subsets code
-- #31644 Topological closure of manifold subsets
+- #31644 Topological closure of manifold subsets, methods `ManifoldSubset.closure`, `is_closed`, `declare_closed`
 - #31757 Topological interior of manifold subsets
 - #31745 Images of differentiable maps
 - #31688 Pullbacks of manifold subsets under continuous maps
@@ -21,6 +21,7 @@
 - #31736 `ManifoldSubset`: New methods `declare_equal`, `equal_subsets`, `equal_subset_family`
 - #31763 `ManifoldSubset`: New methods `declare_subset`, `declare_superset`
 - #31764 `ManifoldSubset`: `union`, `intersection`, `declare_{union,intersection}` with arbitrary number of arguments
+- #31798 `ManifoldSubset.difference`, `complement`
 - #31766 `ManifoldSubset`: Replace use of `_top_subsets` by a generator
 - #31738 `ManifoldSubset.intersection`: Compute more supersets
 - #31682 manifolds: Add `_test_...` methods that check invariants of subset relations

Answer 15 · 2021-05-16T11:14:48.000Z

comment:16

I think it would be nice to have something like powerset and topology that dynamically keep track of whether a (open) subset is contained in it.

This might also be a good opportunity to shift all this open_covers and subsets business to those classes and decouple it more from the manifold code. We can consider doing a similar thing for atlases, too. I can imagine that these changes could make pickling of manifolds easier.

This comes handy especially for sheaves, since it would allow to see them as (lazy) families indexed by topology.

Opinions?

Answer 16 · 2021-05-16T13:09:15.000Z

comment:17

In principle, this could also lead to the more general notion of topological spaces. Manifolds are then nothing but topological spaces equipped with an atlas (roughly).

But to get there eventually, we need a lot of refactoring, i.e. something for the further future.

Answer 17 · 2021-05-16T13:40:03.000Z

comment:18

This is also good for subset topologies in case of e.g. embedded manifolds.

Answer 18 · 2021-05-16T18:41:38.000Z

comment:19

See also #31785 "Category of open subsets of a topological space".

Answer 19 · 2021-05-29T19:56:31.000Z

Description changed:

--- 
+++ 
@@ -5,6 +5,7 @@
 - #31653 Images of continuous maps and embedded submanifolds as manifold subsets
 - #31765 `DegenerateManifold`: update subsets code
 - #31644 Topological closure of manifold subsets, methods `ManifoldSubset.closure`, `is_closed`, `declare_closed`
+- #30832 Connect `RealSet` to `sage.manifolds`
 - #31757 Topological interior of manifold subsets
 - #31745 Images of differentiable maps
 - #31688 Pullbacks of manifold subsets under continuous maps

Answer 20 · 2021-05-30T19:44:02.000Z

Description changed:

--- 
+++ 
@@ -5,13 +5,19 @@
 - #31653 Images of continuous maps and embedded submanifolds as manifold subsets
 - #31765 `DegenerateManifold`: update subsets code
 - #31644 Topological closure of manifold subsets, methods `ManifoldSubset.closure`, `is_closed`, `declare_closed`
-- #30832 Connect `RealSet` to `sage.manifolds`
 - #31757 Topological interior of manifold subsets
 - #31745 Images of differentiable maps
 - #31688 Pullbacks of manifold subsets under continuous maps
 - #31724 `ManifoldFiniteSubset`
 - #31685 `ContinuousMap.image`: if map is an isomorphism and `domain_subset` is open, create a submanifold
 - #31743 Charts, transitions, subsets with restrictions defined using `NNC_Polyhedron`
+
+`RealSet` (see also Meta-ticket #20877):
+
+- #30832 Connect `RealSet` to `sage.manifolds`
+- #31878 Replace `OpenInterval`, `RealLine` instances by instances of a subclass of `DifferentiableManifold`+`RealSet`
+- #21243 `RealSet`: add `closure` and `interior` methods
+- #31881 `RealSet`: Extend constructors so that they can build manifold objects
 
 Families and posets of manifold subsets:

Answer 21 · 2021-06-07T16:04:58.000Z

Description changed:

--- 
+++ 
@@ -1,8 +1,8 @@
 New subsets:
 
-- #31674 Make open subsets of immersed/embedded submanifolds immersed/embedded submanifolds
-- #31677 Open subsets of arbitrary subsets of manifolds
-- #31653 Images of continuous maps and embedded submanifolds as manifold subsets
+- #31674 Make open subsets of immersed/embedded submanifolds immersed/embedded submanifolds *(merged in Sage 9.4.beta1)*
+- #31677 Open subsets of arbitrary subsets of manifolds *(merged in Sage 9.4.beta1)*
+- #31653 Images of continuous maps and embedded submanifolds as manifold subsets *(merged in Sage 9.4.beta1)*
 - #31765 `DegenerateManifold`: update subsets code
 - #31644 Topological closure of manifold subsets, methods `ManifoldSubset.closure`, `is_closed`, `declare_closed`
 - #31757 Topological interior of manifold subsets

Answer 22 · 2021-06-20T20:29:16.000Z

Description changed:

--- 
+++ 
@@ -39,6 +39,14 @@
 - #31741 `ManifoldSubset.separating_open_supersets`
 - #31744 `ManifoldSubset`: Propagate emptiness/nonemptiness using LP
 
+`Set_base` and `ConvexSet_base`:
+
+- #31916 `{Polyhedron, ConvexRationalPolyhedralCone}.{interior, relative_interior}`
+- #31919 ABC for convex sets
+- #31959 `PolyhedronFace`: Make it a subclass of `ConvexSet_closed`
+- #31990 `ConvexSet_base`: Add methods `an_element`, `some_elements`
+- #32013 Initialize a `Set` from a `ConvexSet_base instance
+
 Application to polyhedra and optimization:
 
 - #31659 `Polyhedron.affine_hull_manifold`

Answer 23 · 2021-06-20T20:30:36.000Z

Description changed:

--- 
+++ 
@@ -45,7 +45,7 @@
 - #31919 ABC for convex sets
 - #31959 `PolyhedronFace`: Make it a subclass of `ConvexSet_closed`
 - #31990 `ConvexSet_base`: Add methods `an_element`, `some_elements`
-- #32013 Initialize a `Set` from a `ConvexSet_base instance
+- #32013 Initialize a `Set` from a `ConvexSet_base` instance
 
 Application to polyhedra and optimization:

Answer 24 · 2021-06-24T14:38:07.000Z

Description changed:

--- 
+++ 
@@ -21,14 +21,14 @@
 
 Families and posets of manifold subsets:
 
-- #31680 Poset of manifold subsets
-- #31718 `ManifoldSubset`: Change some methods to generators
-- #31732 `ManifoldSubset`: New methods `declare_empty`, `declare_nonempty`, `is_empty`, `has_defined_points`, `open_cover_family`
-- #31727 `ManifoldSubset`: Add methods `subset_family`, `superset_family`, `open_superset_family`; deprecate method `list_of_subsets`
-- #31736 `ManifoldSubset`: New methods `declare_equal`, `equal_subsets`, `equal_subset_family`
-- #31763 `ManifoldSubset`: New methods `declare_subset`, `declare_superset`
-- #31764 `ManifoldSubset`: `union`, `intersection`, `declare_{union,intersection}` with arbitrary number of arguments
-- #31798 `ManifoldSubset.difference`, `complement`
+- #31680 Poset of manifold subsets *(merged in Sage 9.4.beta3)*
+- #31718 `ManifoldSubset`: Change some methods to generators *(merged in Sage 9.4.beta3)*
+- #31732 `ManifoldSubset`: New methods `declare_empty`, `declare_nonempty`, `is_empty`, `has_defined_points`, `open_cover_family` *(merged in Sage 9.4.beta3)*
+- #31727 `ManifoldSubset`: Add methods `subset_family`, `superset_family`, `open_superset_family`; deprecate method `list_of_subsets` *(merged in Sage 9.4.beta3)*
+- #31736 `ManifoldSubset`: New methods `declare_equal`, `equal_subsets`, `equal_subset_family` *(merged in Sage 9.4.beta3)*
+- #31763 `ManifoldSubset`: New methods `declare_subset`, `declare_superset` *(merged in Sage 9.4.beta3)*
+- #31764 `ManifoldSubset`: `union`, `intersection`, `declare_{union,intersection}` with arbitrary number of arguments *(merged in Sage 9.4.beta3)*
+- #31798 `ManifoldSubset.difference`, `complement` *(merged in Sage 9.4.beta3)*
 - #31766 `ManifoldSubset`: Replace use of `_top_subsets` by a generator
 - #31738 `ManifoldSubset.intersection`: Compute more supersets
 - #31682 manifolds: Add `_test_...` methods that check invariants of subset relations
@@ -49,7 +49,7 @@
 
 Application to polyhedra and optimization:
 
-- #31659 `Polyhedron.affine_hull_manifold`
+- #31659 `Polyhedron.affine_hull_manifold` *(merged in Sage 9.4.beta3)*
 - #31660 `Polyhedron.relative_interior_manifold`
 - #31728 `manifolds.Sphere`: Make relation to simplicial spheres more concrete
 - #31742 `MixedIntegerLinearProgram.ambient_manifold`, `feasible_subset`, `objective_scalar_field`, `optimal_subset`

Answer 25 · 2021-07-05T11:46:22.000Z

Description changed:

--- 
+++ 
@@ -14,9 +14,9 @@
 
 `RealSet` (see also Meta-ticket #20877):
 
-- #30832 Connect `RealSet` to `sage.manifolds`
+- #30832 Connect `RealSet` to `sage.manifolds` *(merged in Sage 9.4.beta4)*
 - #31878 Replace `OpenInterval`, `RealLine` instances by instances of a subclass of `DifferentiableManifold`+`RealSet`
-- #21243 `RealSet`: add `closure` and `interior` methods
+- #21243 `RealSet`: add `closure` and `interior` methods *(merged in Sage 9.4.beta4)*
 - #31881 `RealSet`: Extend constructors so that they can build manifold objects
 
 Families and posets of manifold subsets:
@@ -41,9 +41,9 @@
 
 `Set_base` and `ConvexSet_base`:
 
-- #31916 `{Polyhedron, ConvexRationalPolyhedralCone}.{interior, relative_interior}`
-- #31919 ABC for convex sets
-- #31959 `PolyhedronFace`: Make it a subclass of `ConvexSet_closed`
+- #31916 `{Polyhedron, ConvexRationalPolyhedralCone}.{interior, relative_interior}` *(merged in Sage 9.4.beta4)*
+- #31919 ABC for convex sets *(merged in Sage 9.4.beta4)*
+- #31959 `PolyhedronFace`: Make it a subclass of `ConvexSet_closed` *(merged in Sage 9.4.beta4)*
 - #31990 `ConvexSet_base`: Add methods `an_element`, `some_elements`
 - #32013 Initialize a `Set` from a `ConvexSet_base` instance

Answer 26 · 2021-07-05T11:47:54.000Z

Description changed:

--- 
+++ 
@@ -4,7 +4,7 @@
 - #31677 Open subsets of arbitrary subsets of manifolds *(merged in Sage 9.4.beta1)*
 - #31653 Images of continuous maps and embedded submanifolds as manifold subsets *(merged in Sage 9.4.beta1)*
 - #31765 `DegenerateManifold`: update subsets code
-- #31644 Topological closure of manifold subsets, methods `ManifoldSubset.closure`, `is_closed`, `declare_closed`
+- #31644 Topological closure of manifold subsets, methods `ManifoldSubset.closure`, `is_closed`, `declare_closed` *(merged in Sage 9.4.beta4)*
 - #31757 Topological interior of manifold subsets
 - #31745 Images of differentiable maps
 - #31688 Pullbacks of manifold subsets under continuous maps

Answer 27 · 2021-07-07T20:15:24.000Z

Description changed:

--- 
+++ 
@@ -46,6 +46,7 @@
 - #31959 `PolyhedronFace`: Make it a subclass of `ConvexSet_closed` *(merged in Sage 9.4.beta4)*
 - #31990 `ConvexSet_base`: Add methods `an_element`, `some_elements`
 - #32013 Initialize a `Set` from a `ConvexSet_base` instance
+- #32089 `ConditionSet`
 
 Application to polyhedra and optimization:

Answer 28 · 2021-07-09T19:19:16.000Z

Description changed:

--- 
+++ 
@@ -34,6 +34,9 @@
 - #31682 manifolds: Add `_test_...` methods that check invariants of subset relations
 - #30263 `declare_union` yields wrong results
 
+Geometric datastructure tools:
+- #32170 Containers for families of geometric objects
+
 Topological tools:
 
 - #31741 `ManifoldSubset.separating_open_supersets`

Answer 29 · 2021-07-19T08:18:28.000Z

Description changed:

--- 
+++ 
@@ -7,7 +7,7 @@
 - #31644 Topological closure of manifold subsets, methods `ManifoldSubset.closure`, `is_closed`, `declare_closed` *(merged in Sage 9.4.beta4)*
 - #31757 Topological interior of manifold subsets
 - #31745 Images of differentiable maps
-- #31688 Pullbacks of manifold subsets under continuous maps
+- #31688 Pullbacks (preimages) of manifold subsets under continuous maps *(merged in Sage 9.4.beta5)*
 - #31724 `ManifoldFiniteSubset`
 - #31685 `ContinuousMap.image`: if map is an isomorphism and `domain_subset` is open, create a submanifold
 - #31743 Charts, transitions, subsets with restrictions defined using `NNC_Polyhedron`
@@ -47,7 +47,7 @@
 - #31916 `{Polyhedron, ConvexRationalPolyhedralCone}.{interior, relative_interior}` *(merged in Sage 9.4.beta4)*
 - #31919 ABC for convex sets *(merged in Sage 9.4.beta4)*
 - #31959 `PolyhedronFace`: Make it a subclass of `ConvexSet_closed` *(merged in Sage 9.4.beta4)*
-- #31990 `ConvexSet_base`: Add methods `an_element`, `some_elements`
+- #31990 `ConvexSet_base`: Add methods `an_element`, `some_elements` *(merged in Sage 9.4.beta5)*
 - #32013 Initialize a `Set` from a `ConvexSet_base` instance
 - #32089 `ConditionSet`

Answer 30 · 2021-08-05T13:37:54.000Z

Description changed:

--- 
+++ 
@@ -17,7 +17,7 @@
 - #30832 Connect `RealSet` to `sage.manifolds` *(merged in Sage 9.4.beta4)*
 - #31878 Replace `OpenInterval`, `RealLine` instances by instances of a subclass of `DifferentiableManifold`+`RealSet`
 - #21243 `RealSet`: add `closure` and `interior` methods *(merged in Sage 9.4.beta4)*
-- #31881 `RealSet`: Extend constructors so that they can build manifold objects
+- #31881 `RealSet`: Extend constructors so that they can build manifold objects *(merged in Sage 9.4.rc0)*
 
 Families and posets of manifold subsets:
 
@@ -48,8 +48,8 @@
 - #31919 ABC for convex sets *(merged in Sage 9.4.beta4)*
 - #31959 `PolyhedronFace`: Make it a subclass of `ConvexSet_closed` *(merged in Sage 9.4.beta4)*
 - #31990 `ConvexSet_base`: Add methods `an_element`, `some_elements` *(merged in Sage 9.4.beta5)*
-- #32013 Initialize a `Set` from a `ConvexSet_base` instance
-- #32089 `ConditionSet`
+- #32013 Initialize a `Set` from a `ConvexSet_base` instance *(merged in Sage 9.4.beta6)*
+- #32089 `ConditionSet` *(merged in Sage 9.4.beta6)*
 
 Application to polyhedra and optimization: