Poset of manifold subsets

[mkoeppe]

The declared subsets or supersets of a ManifoldSubset form finite posets. We add methods to expose them as instances of FinitePoset.

Depends on #31681
Depends on #31717

CC: @mjungmath @egourgoulhon @tscrim

Component: manifolds

Author: Matthias Koeppe

Branch/Commit: 84896c4

Reviewer: Eric Gourgoulhon

Issue created by migration from https://trac.sagemath.org/ticket/31680

[mjungmath]

comment:1

Possibly related: #30263.

[mkoeppe]

comment:2

Yes, hopefully this new feature can be used as a debugging tool

[mkoeppe]

Branch: u/mkoeppe/poset_of_manifold_subsets

[mkoeppe]

comment:4

Here's a first step: Building a digraph from the defined subsets.

(Plotting needs dot2tex and looks bad because of the long labels. I don't know if it is possible to replace the labels by the latex names)

---

New commits:

1b5c153

ManifoldSubset.subset_digraph: New

[mkoeppe]

Commit: 1b5c153

[sagetrac-git]

Changed commit from 1b5c153 to 91bbc3e

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

91bbc3e

ManifoldSubset.subset_poset: New

[sagetrac-git]

Changed commit from 91bbc3e to 858c82d

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

858c82d

Fixup

[mkoeppe]

Dependencies: #31681

[sagetrac-git]

Changed commit from 858c82d to a1e21b0

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

280a82d	trac #31681: fix sorting in layout_acyclic_dummy
a1e21b0	Merge #31681

[mkoeppe]

Author: Matthias Koeppe

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

2e2d91e

ManifoldSubset.{sub,super}set_{digraph,poset}: More options

[sagetrac-git]

Changed commit from a1e21b0 to 2e2d91e