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

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 $A$.

12 pages

References in corpus (1)

• First Non-abelian Cohomology of Topological Groups II