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arXiv · 1403.3254

Fibrations of ordered groupoids and the factorization of ordered functors

Nouf AlYamani·N. D. Gilbert·E. C. Miller
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Abstract

We investigate canonical factorizations of ordered functors of ordered groupoids through star-surjective functors. Our main construction is a quotient ordered groupoid, depending on an ordered version of the notion of normal subgroupoid, that results is the factorization of an ordered functor as a star-surjective functor followed by a star-injective functor. Any star-injective functor possesses a universal factorization through a covering, by Ehresmann's Maximum Enlargement Theorem. We also show that any ordered functor has a canonical factorization through a functor with the ordered homotopy lifting property.

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Nouf AlYamani, N. D. Gilbert, E. C. Miller. 2014-03-27. Fibrations of ordered groupoids and the factorization of ordered functors. https://arxiv.org/abs/1403.3254

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