| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4595763 | Journal of Pure and Applied Algebra | 2016 | 25 Pages |
Abstract
In this paper, we compute the integral singular cohomology ring of homology split polyhedral product spaces and the singular cohomology algebra over a field of polyhedral product spaces. As an application, we give two polyhedral product spaces Z(K;X1,A1)Z(K;X1,A1) and Z(K;X2,A2)Z(K;X2,A2) such that the cohomology homomorphisms ik⁎:H⁎(Xk)→H⁎(Ak) induced by the inclusions are the same, but the cohomology rings of the two polyhedral product spaces are not isomorphic.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Qibing Zheng,