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arXiv · 1502.02237

Standard Projective Simplicial Kernels and the Second Abelian Cohomology of Topological Groups

Hossein Sahleh·Hossein Esmaili Koshkoshi
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Abstract

Let $A$ be an abelian topological $G$-module. We give an interpretion for the second cohomology, $H^{2}(G,A)$, of $G$ with coefficients in $A$. As a result we show that if $P$ is a projective topological group, then $H^{2}(P,A)=0$ for every abelian topological $P$-module $A$.

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Hossein Sahleh, Hossein Esmaili Koshkoshi. 2015-02-08. Standard Projective Simplicial Kernels and the Second Abelian Cohomology of Topological Groups. https://arxiv.org/abs/1502.02237

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