Induced morphism on unreduced homology and relative homology
From the documentation, it is clear how to get the induced map on reduced homology from a simplicial map.
Can one get it for:
unreduced homology
relative homology
I can get both constructions by explicitly constructing chain complexes and then computing homology. I can also construct the morphism between chain complexes - but it is not clear how to get the induced map from this as the documentation asks for a simplicial map.
Ultimately, I map the basis from one complex to the other and then reduce - but I was wondering whether there was a cleaner way.
I don't think anything else is implemented, so the procedure you describe is probably the best thing.