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2023-12-10 19:34:27 +0200 edited question Induced morphism on unreduced homology and relative homology

Induced morphism on unreduced homology and relative homology From the documentation, it is clear how to get the induced

2023-12-10 19:34:12 +0200 received badge  Editor (source)
2023-12-10 19:34:12 +0200 edited question Induced morphism on unreduced homology and relative homology

Induced morphism on unreduced homology and relative homology From the documentation, it is clear how to get the induced

2023-12-10 19:33:34 +0200 asked a question Induced morphism on unreduced homology and relative homology

Induced morphism on unreduced homology and relative homology From the documentation, it is clear how to get the induced

2023-12-10 09:51:47 +0200 commented answer chain morphism between subdivisions

A stupid question since I do not work with sage a lot - is the right way to do this to install the development version o

2023-12-10 09:49:44 +0200 marked best answer chain morphism between subdivisions

I am trying to compute a morphism between chain complexes (and homology/cohomology ultimately) that is induced by a simplicial map. The problem seems to be when I try to specify the map between barycentric subdivisions.

As a concrete example - this works:

S = SimplicialComplex([[1,2]],is_mutable=False)
T = SimplicialComplex([[1,2],[2,3],[1,3]],is_mutable=False)
f = {x[0]:x[0] for x in S.cells()[0]}
H  = Hom(S,T)
z = H(f)
r = z.associated_chain_complex_morphism()

If I try to do the same with the subdivision - I get

S = SimplicialComplex([[1,2]],is_mutable=False).barycentric_subdivision()
S.set_immutable()
T = SimplicialComplex([[1,2],[2,3],[1,3]],is_mutable=False).barycentric_subdivision()
T.set_immutable()
f = {x[0]:x[0] for x in S.cells()[0]}
H  = Hom(S,T)
z = H(f)
r = z.associated_chain_complex_morphism()

I get:

ValueError: matrices must define a chain complex morphism

Any insight would be helpful.

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2023-12-09 19:45:11 +0200 asked a question chain morphism between subdivisions

chain morphism between subdivisions I am trying to compute a morphism between chain complexes (and homology/cohomology u