Foundations of Topological Racks and Quandles

Authors

Mohamed Elhamdadi, University of South FloridaFollow
El-Kaïoum M. Moutuou, University of Southampton

Document Type

Article

Publication Date

2016

Keywords

Racks, quandles, topological quandles, rack modules, rack extensions

Digital Object Identifier (DOI)

https://doi.org/10.1142/S0218216516400022

Abstract

We give a foundational account on topological racks and quandles. Specifically, we define the notions of ideals, kernels, units, and inner automorphism group in the context of topological racks. Further, we investigate topological rack modules and principal rack bundles. Central extensions of topological racks are then introduced providing a first step toward a general continuous cohomology theory for topological racks and quandles.

Was this content written or created while at USF?

Yes

Citation / Publisher Attribution

Journal of Knot Theory and Its Ramifications, v. 25, issue 3, art. 1640002

Scholar Commons Citation

Elhamdadi, Mohamed and Moutuou, El-Kaïoum M., "Foundations of Topological Racks and Quandles" (2016). Mathematics and Statistics Faculty Publications. 110.
https://digitalcommons.usf.edu/mth_facpub/110