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
Scholar Commons Citation
Elhamdadi, Mohamed; Saito, Masahico; and Zappala, Emanuele, "Continuous Cohomology of Topological Quandles" (2019). Mathematics and Statistics Faculty Publications. 93.
https://digitalcommons.usf.edu/mth_facpub/93
