The cohomology algebra of polyhedral product spaces

In this paper, we compute the cohomology ring of all homology split polyhedral product spaces and the cohomology algebra over a field of all polyhedral product spaces. As an application, we give two polyhedral product spaces such that all the cohomology homomorphisms induced by inclusion map are the...

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Bibliographic Details
Published in:arXiv.org 2016-05
Main Author: Zheng, Qibing
Format: Article
Language:English
Subjects:
Homology
Homomorphisms
Rings (mathematics)
Online Access:Get full text
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Summary:In this paper, we compute the cohomology ring of all homology split polyhedral product spaces and the cohomology algebra over a field of all polyhedral product spaces. As an application, we give two polyhedral product spaces such that all the cohomology homomorphisms induced by inclusion map are the same, but the cohomology rings of the two polyhedral product spaces are not isomorphic.
ISSN:2331-8422