Continuous cohomology of topological quandles
arXiv:1803.07604 · doi:10.1142/S0218216519500366
Abstract
A continuous cohomology theory for topological quandles is introduced, and compared to the algebraic theories. Extensions of topological quandles are studied with respect to continuous 2-cocycles, and used to show the differences in second cohomology groups for specific topological quandles. A method of computing the cohomology groups of the inverse limit is applied to quandles.
17 pages