Continuous cohomology of topological quandles

Mohamed Elhamdadi; Masahico Saito; Emanuele Zappala

doi:10.1142/s0218216519500366

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arXiv · 1803.07604

Continuous cohomology of topological quandles

Mohamed Elhamdadi·Masahico Saito·Emanuele Zappala

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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.

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BibTeX RIS

Mohamed Elhamdadi, Masahico Saito, Emanuele Zappala. 2018-03-20. Continuous cohomology of topological quandles. https://doi.org/10.1142/s0218216519500366

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