Homotopic Chain Maps Have Equal -Homology and -Homology

M. Z. Kazemi-Baneh

International Journal of Mathematics and Mathematical Sciences, 2016, vol. 2016, 1-5

Abstract:

The homotopy of chain maps on preabelian categories is investigated and the equality of standard homologies and -homologies of homotopic chain maps is established. As a special case, if and are the same homotopy type, then their th -homology -modules are isomorphic, and if is a contractible space, then its th -homology -modules for are trivial.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:5647548

DOI: 10.1155/2016/5647548

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