Foundations of Topological Racks and Quandles
Racks, quandles, topological quandles, rack modules, rack extensions
Digital Object Identifier (DOI)
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.
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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.