Lefschetz Complexes as Finite Topological Spaces
Algebraic Topology
2019-03-15 v1
Abstract
We consider a fixed basis of a finitely generated free chain complex as a finite topological space and we present a sufficient condition for the singular homology of this space to be isomorphic with the homology of the chain complex.
Cite
@article{arxiv.1903.05934,
title = {Lefschetz Complexes as Finite Topological Spaces},
author = {Jacek Kubica and Marian Mrozek},
journal= {arXiv preprint arXiv:1903.05934},
year = {2019}
}