The cohomology algebra of polyhedral product spaces
Algebraic Topology
2016-05-19 v9
Abstract
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.
Cite
@article{arxiv.1206.6629,
title = {The cohomology algebra of polyhedral product spaces},
author = {Qibing Zheng},
journal= {arXiv preprint arXiv:1206.6629},
year = {2016}
}
Comments
38 pages