Foundations of topological racks and quandles
Foundations of topological racks and quandles
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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Mohamed Moutuou, El-Kaioum
ce4ffbcf-e3b6-4946-ae15-0081205d6af9
Elhamdadi, Mohamed
b62f9486-c4c3-4549-967b-95afad6cb5e2
March 2016
Mohamed Moutuou, El-Kaioum
ce4ffbcf-e3b6-4946-ae15-0081205d6af9
Elhamdadi, Mohamed
b62f9486-c4c3-4549-967b-95afad6cb5e2
Mohamed Moutuou, El-Kaioum and Elhamdadi, Mohamed
(2016)
Foundations of topological racks and quandles.
Journal of Knot Theory and Its Ramifications, 25 (3), .
(doi: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 towards a general continuous cohomology theory for topological racks and quandles
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NotesTopologicalQuandlesFinalVersion.pdf
- Accepted Manuscript
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Accepted/In Press date: 20 May 2015
e-pub ahead of print date: March 2016
Published date: March 2016
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Local EPrints ID: 383698
URI: http://eprints.soton.ac.uk/id/eprint/383698
ISSN: 0218-2165
PURE UUID: b11de692-1cba-4de7-afb0-60103632a243
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Date deposited: 20 Nov 2015 12:25
Last modified: 14 Mar 2024 21:47
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Author:
El-Kaioum Mohamed Moutuou
Author:
Mohamed Elhamdadi
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