Foundations of topological racks and quandles

Mohamed Elhamdadi; El-kaïoum M. Moutuou

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arXiv · 1506.00084

Foundations of topological racks and quandles

Mohamed Elhamdadi·El-kaïoum M. Moutuou

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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 towards a general continuous cohomology theory for topological racks and quandles.

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BibTeX RIS

Mohamed Elhamdadi, El-kaïoum M. Moutuou. 2015-05-30. Foundations of topological racks and quandles. https://arxiv.org/abs/1506.00084

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