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Continuous cohomology of topological quandles

Mohamed Elhamdadi

http://orcid.org/0000-0003-0906-1507

Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA

E-mail Address: [email protected]

Corresponding author.

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Masahico Saito

Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA

E-mail Address: [email protected]

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, and

Emanuele Zappala

Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA

E-mail Address: [email protected]

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https://doi.org/10.1142/S0218216519500366Cited by:2 (Source: Crossref)

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.

Keywords:

AMSC: 57M25, 18G60

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