Continuous cohomology of topological quandles
Geometric Topology
2020-08-04 v1 Algebraic Topology
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.
Cite
@article{arxiv.1803.07604,
title = {Continuous cohomology of topological quandles},
author = {Mohamed Elhamdadi and Masahico Saito and Emanuele Zappala},
journal= {arXiv preprint arXiv:1803.07604},
year = {2020}
}
Comments
17 pages