@article { author = {Sahleh, H. and Koshkoshi, H. E.}, title = {First non-abelian cohomology of topological groups II}, journal = {Journal of Algebra and Related Topics}, volume = {2}, number = {2}, pages = {43-61}, year = {2014}, publisher = {University of Guilan}, issn = {2345-3931}, eissn = {2382-9877}, doi = {}, abstract = {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.}, keywords = {Non-abelian cohomology of topological groups,cocompatible triple,partially crossed topological bimodule,principle homogeneous space}, url = {https://jart.guilan.ac.ir/article_66.html}, eprint = {https://jart.guilan.ac.ir/article_66_401debc98c625ef131a511bc9335c425.pdf} }