Foundations of topological racks and quandles
Geometric Topology
2015-06-02 v1 Algebraic Topology
Quantum Algebra
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1506.00084,
title = {Foundations of topological racks and quandles},
author = {Mohamed Elhamdadi and El-kaïoum M. Moutuou},
journal= {arXiv preprint arXiv:1506.00084},
year = {2015}
}
Comments
Dedicated to Professor J\'ozef H. Przytycki for his 60th birthday