Diyala Journal for Pure Science DJPS

P- ISSN:2222-8373, E-ISSN:2518-9255

Volume 16, Issue 1 , January  2020

Cohomology Group of K (Z, 4)

keyvan Salehi and Hero Mawlood Salih

Year: 2020, Volume: 16, Issue: 1

Pages: 120-129 , DOI: https://dx.doi.org/10.24237/djps.16.01.517B 

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Abstract

We know properties and structure of topological spaces are very important. In this case, one of the powerful tool which help us to figure out structure of topological spaces is (Leray- Serre) spectral sequence. One of the special spaces is Eilenberg-Maclane space in which plays an important role in topology. Then finding cohomology groups of this space can be useful for classifying of structure of this space as a topological space. In this paper, we want to compute cohomology groups of Eilenberg-Maclane space K (Z, 4).

Keywords: Cohomology group of K (Z, 4), Spectral sequences of K (Z, 4), Eilenberg maclane space of K (Z, 4), K (Z, 4) structure, homology group of K (Z, 4).