%0 Journal Article
%T First non-abelian cohomology of topological groups II
%J Journal of Algebra and Related Topics
%I University of Guilan
%Z 2345-3931
%A Sahleh, H.
%A Koshkoshi, H. E.
%D 2014
%\ 12/01/2014
%V 2
%N 2
%P 43-61
%! First non-abelian cohomology of topological groups II
%K Non-abelian cohomology of topological groups
%K cocompatible triple
%K partially crossed topological bimodule
%K principle homogeneous space
%R
%X In this paper we introduce a new definition of the first non-abelian cohomology of topological groups. We relate the cohomology of a normal subgroup $N$ of a topological group $G$ and the quotient $G/N$ to the cohomology of $G$. We get the inflation-restriction exact sequence. Also, we obtain a seven-term exact cohomology sequence up to dimension 2. We give an interpretation of the first non-abelian cohomology of a topological group by the notion of a principle homogeneous space.
%U https://jart.guilan.ac.ir/article_66_401debc98c625ef131a511bc9335c425.pdf