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arXiv · 1703.09155

How to centralize and normalize quandle extensions

M. Duckerts-Antoine·V. Even·A. Montoli
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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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M. Duckerts-Antoine, V. Even, A. Montoli. 2017-03-27. How to centralize and normalize quandle extensions. https://arxiv.org/abs/1703.09155

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