How to centralize and normalize quandle extensions
Category Theory
2017-03-30 v2 Algebraic Topology
Abstract
We show that quandle coverings in the sense of Eisermann form a (regular epi)-reflective subcategory of the category of surjective quandle homomorphisms, both by using arguments coming from categorical Galois theory and by constructing concretely a centralization congruence. Moreover, we show that a similar result holds for normal quandle extensions.
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Cite
@article{arxiv.1703.09155,
title = {How to centralize and normalize quandle extensions},
author = {M. Duckerts-Antoine and V. Even and A. Montoli},
journal= {arXiv preprint arXiv:1703.09155},
year = {2017}
}
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17 pages