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sage.{topology,homology}: Modularization fixes #35581

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merged 24 commits into from
May 28, 2023
Merged

sage.{topology,homology}: Modularization fixes #35581

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326078e
sage.homology: Add # optional
mkoeppe Apr 28, 2023
6b5cd65
sage.topology: More # optional
mkoeppe Apr 28, 2023
acf3d47
sage.homology: Modularization fixes for imports
mkoeppe Apr 28, 2023
b9aa548
sage.topology: Modularization fixes for imports
mkoeppe Apr 28, 2023
a0398e9
sage.topology: More # optional
mkoeppe Apr 28, 2023
3a435fc
src/sage/homology/homology_morphism.py: Replace use of numpy.cumsum b…
mkoeppe Apr 28, 2023
f0e41e5
src/sage/categories/simplicial_sets.py: More # optional
mkoeppe Apr 28, 2023
7b24c69
sage.{homology,topology}: Doctest cosmetics
mkoeppe Apr 28, 2023
19083cd
src/sage/features/standard.py: Add pyparsing
mkoeppe May 4, 2023
661ce3e
sage.topology: Fix # optional
mkoeppe May 13, 2023
d68dc8b
Merge remote-tracking branch 'upstream/develop' into sage_topology_ho…
mkoeppe May 13, 2023
b8340ef
src/sage/topology/simplicial_complex.py: Add # optional
mkoeppe May 15, 2023
983f464
src/sage/topology/simplicial_set.py: Add # optional
mkoeppe May 17, 2023
8a9620d
Merge remote-tracking branch 'upstream/develop' into sage_topology_ho…
mkoeppe May 21, 2023
d3ae042
src/sage/homology/free_resolution.py: Use file-level # optional
mkoeppe May 24, 2023
d352ca5
src/sage/topology/filtered_simplicial_complex.py: Add # optional - sa…
mkoeppe May 24, 2023
33f30d6
src/sage/topology/simplicial_complex.py: Add # optional - sage.module…
mkoeppe May 24, 2023
5f853b5
src/sage/topology/simplicial_complex.py: Remove unnecessary # optional
mkoeppe May 24, 2023
11fd1f7
src/sage/topology/simplicial_set_constructions.py: Add # optional - s…
mkoeppe May 24, 2023
9dfc0c4
src/sage/topology/simplicial_set_morphism.py: Add # optional - sage.m…
mkoeppe May 24, 2023
f3eb176
src/sage/topology/simplicial_complex_homset.py: Doctest cosmetics
mkoeppe May 24, 2023
170fab6
src/sage/homology/algebraic_topological_model.py: Add # optional - sa…
mkoeppe May 24, 2023
0c97bcf
src/sage/homology/chain_complex_homspace.py: Doctest cosmetics
mkoeppe May 24, 2023
c4c593a
src/sage/homology/graded_resolution.py: Use file-level # optional
mkoeppe May 24, 2023
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55 changes: 28 additions & 27 deletions src/sage/categories/simplicial_sets.py
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Original file line number Diff line number Diff line change
Expand Up @@ -347,10 +347,10 @@ def _universal_cover_dict(self):

TESTS::

sage: RP2 = simplicial_sets.RealProjectiveSpace(2)
sage: RP2._universal_cover_dict()
sage: RP2 = simplicial_sets.RealProjectiveSpace(2) # optional - sage.groups
sage: RP2._universal_cover_dict() # optional - sage.groups
(Finitely presented group < e | e^2 >, {f: e})
sage: RP2.nondegenerate_simplices()
sage: RP2.nondegenerate_simplices() # optional - sage.groups
[1, f, f * f]
"""
from sage.groups.free_group import FreeGroup
Expand Down Expand Up @@ -393,14 +393,14 @@ def universal_cover_map(self):

EXAMPLES::

sage: RP2 = simplicial_sets.RealProjectiveSpace(2)
sage: phi = RP2.universal_cover_map()
sage: phi
sage: RP2 = simplicial_sets.RealProjectiveSpace(2) # optional - sage.groups
sage: phi = RP2.universal_cover_map(); phi # optional - sage.groups
Simplicial set morphism:
From: Simplicial set with 6 non-degenerate simplices
To: RP^2
Defn: [(1, 1), (1, e), (f, 1), (f, e), (f * f, 1), (f * f, e)] --> [1, 1, f, f, f * f, f * f]
sage: phi.domain().face_data()
Defn: [(1, 1), (1, e), (f, 1), (f, e), (f * f, 1), (f * f, e)]
--> [1, 1, f, f, f * f, f * f]
sage: phi.domain().face_data() # optional - sage.groups
{(1, 1): None,
(1, e): None,
(f, 1): ((1, e), (1, 1)),
Expand Down Expand Up @@ -432,18 +432,20 @@ def covering_map(self, character):
EXAMPLES::

sage: S1 = simplicial_sets.Sphere(1)
sage: W = S1.wedge(S1)
sage: G = CyclicPermutationGroup(3)
sage: a, b = W.n_cells(1)
sage: C = W.covering_map({a : G.gen(0), b : G.one()})
sage: C
sage: W = S1.wedge(S1) # optional - sage.graphs
sage: G = CyclicPermutationGroup(3) # optional - sage.groups
sage: a, b = W.n_cells(1) # optional - sage.graphs
sage: C = W.covering_map({a : G.gen(0), b : G.one()}); C # optional - sage.graphs sage.groups
Simplicial set morphism:
From: Simplicial set with 9 non-degenerate simplices
To: Wedge: (S^1 v S^1)
Defn: [(*, ()), (*, (1,2,3)), (*, (1,3,2)), (sigma_1, ()), (sigma_1, ()), (sigma_1, (1,2,3)), (sigma_1, (1,2,3)), (sigma_1, (1,3,2)), (sigma_1, (1,3,2))] --> [*, *, *, sigma_1, sigma_1, sigma_1, sigma_1, sigma_1, sigma_1]
sage: C.domain()
Defn: [(*, ()), (*, (1,2,3)), (*, (1,3,2)), (sigma_1, ()),
(sigma_1, ()), (sigma_1, (1,2,3)), (sigma_1, (1,2,3)),
(sigma_1, (1,3,2)), (sigma_1, (1,3,2))]
--> [*, *, *, sigma_1, sigma_1, sigma_1, sigma_1, sigma_1, sigma_1]
sage: C.domain() # optional - sage.graphs sage.groups
Simplicial set with 9 non-degenerate simplices
sage: C.domain().face_data()
sage: C.domain().face_data() # optional - sage.graphs sage.groups
{(*, ()): None,
(*, (1,2,3)): None,
(*, (1,3,2)): None,
Expand Down Expand Up @@ -517,11 +519,11 @@ def cover(self, character):
EXAMPLES::

sage: S1 = simplicial_sets.Sphere(1)
sage: W = S1.wedge(S1)
sage: G = CyclicPermutationGroup(3)
sage: (a, b) = W.n_cells(1)
sage: C = W.cover({a : G.gen(0), b : G.gen(0)^2})
sage: C.face_data()
sage: W = S1.wedge(S1) # optional - sage.graphs
sage: G = CyclicPermutationGroup(3) # optional - sage.groups
sage: (a, b) = W.n_cells(1) # optional - sage.graphs
sage: C = W.cover({a : G.gen(0), b : G.gen(0)^2}) # optional - sage.graphs sage.groups
sage: C.face_data() # optional - sage.graphs sage.groups
{(*, ()): None,
(*, (1,2,3)): None,
(*, (1,3,2)): None,
Expand All @@ -531,9 +533,9 @@ def cover(self, character):
(sigma_1, (1,2,3)): ((*, ()), (*, (1,2,3))),
(sigma_1, (1,3,2)): ((*, ()), (*, (1,3,2))),
(sigma_1, (1,3,2)): ((*, (1,2,3)), (*, (1,3,2)))}
sage: C.homology(1)
sage: C.homology(1) # optional - sage.graphs sage.groups sage.modules
Z x Z x Z x Z
sage: C.fundamental_group()
sage: C.fundamental_group() # optional - sage.graphs sage.groups
Finitely presented group < e0, e1, e2, e3 | >
"""
return self.covering_map(character).domain()
Expand All @@ -546,11 +548,10 @@ def universal_cover(self):

EXAMPLES::

sage: RP3 = simplicial_sets.RealProjectiveSpace(3)
sage: C = RP3.universal_cover()
sage: C
sage: RP3 = simplicial_sets.RealProjectiveSpace(3) # optional - sage.groups
sage: C = RP3.universal_cover(); C # optional - sage.groups
Simplicial set with 8 non-degenerate simplices
sage: C.face_data()
sage: C.face_data() # optional - sage.groups
{(1, 1): None,
(1, e): None,
(f, 1): ((1, e), (1, 1)),
Expand Down
1 change: 1 addition & 0 deletions src/sage/features/standard.py
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Original file line number Diff line number Diff line change
Expand Up @@ -30,6 +30,7 @@ def all_features():
JoinFeature('pplpy', (PythonModule('ppl'),), spkg='pplpy'),
PythonModule('primecountpy', spkg='primecountpy'),
PythonModule('ptyprocess', spkg='ptyprocess'),
PythonModule('pyparsing', spkg='pyparsing'),
PythonModule('requests', spkg='requests'),
PythonModule('scipy', spkg='scipy'),
PythonModule('sympy', spkg='sympy')]
13 changes: 7 additions & 6 deletions src/sage/homology/algebraic_topological_model.py
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@@ -1,4 +1,4 @@
# -*- coding: utf-8 -*-
# sage.doctest: optional - sage.graphs
r"""
Algebraic topological model for a cell complex

Expand Down Expand Up @@ -100,8 +100,8 @@ def algebraic_topological_model(K, base_ring=None):

sage: from sage.homology.algebraic_topological_model import algebraic_topological_model
sage: RP2 = simplicial_complexes.RealProjectivePlane()
sage: phi, M = algebraic_topological_model(RP2, GF(2))
sage: M.homology()
sage: phi, M = algebraic_topological_model(RP2, GF(2)) # optional - sage.rings.finite_rings
sage: M.homology() # optional - sage.rings.finite_rings
{0: Vector space of dimension 1 over Finite Field of size 2,
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1: Vector space of dimension 1 over Finite Field of size 2,
2: Vector space of dimension 1 over Finite Field of size 2}
Expand All @@ -123,7 +123,8 @@ def algebraic_topological_model(K, base_ring=None):
1
sage: phi.dual()
Chain homotopy between:
Chain complex endomorphism of Chain complex with at most 3 nonzero terms over Rational Field
Chain complex endomorphism of
Chain complex with at most 3 nonzero terms over Rational Field
and Chain complex morphism:
From: Chain complex with at most 3 nonzero terms over Rational Field
To: Chain complex with at most 3 nonzero terms over Rational Field
Expand Down Expand Up @@ -369,8 +370,8 @@ def algebraic_topological_model_delta_complex(K, base_ring=None):

sage: from sage.homology.algebraic_topological_model import algebraic_topological_model_delta_complex as AT_model
sage: RP2 = simplicial_complexes.RealProjectivePlane()
sage: phi, M = AT_model(RP2, GF(2))
sage: M.homology()
sage: phi, M = AT_model(RP2, GF(2)) # optional - sage.rings.finite_rings
sage: M.homology() # optional - sage.rings.finite_rings
{0: Vector space of dimension 1 over Finite Field of size 2,
1: Vector space of dimension 1 over Finite Field of size 2,
2: Vector space of dimension 1 over Finite Field of size 2}
Expand Down
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