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- Title
Foundations of topological racks and quandles.
- Authors
Elhamdadi, Mohamed; Moutuou, El-Kaïoum M.
- 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.
- Subjects
TOPOLOGY; MODULES (Algebra); COHOMOLOGY theory; AUTOMORPHISM groups; KERNEL functions; IDEALS (Algebra)
- Publication
Journal of Knot Theory & Its Ramifications, 2016, Vol 25, Issue 3, p-1
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S0218216516400022