Title

Continuous Cohomology of Topological Quandles

Document Type

Article

Publication Date

2019

Keywords

Topological quandles, quandle cohomology, continuous cocycles, extensions, inverse limits

Digital Object Identifier (DOI)

https://doi.org/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.

Was this content written or created while at USF?

Yes

Citation / Publisher Attribution

Journal of Knot Theory and Its Ramifications, v. 28, issue 6, art. 1950036

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