On Enriched Fibrations
Category Theory
2018-07-09 v2 Rings and Algebras
Abstract
We introduce the notion of an enriched fibration, i.e. a fibration whose total category and base category are enriched in those of a monoidal fibration in an appropriate way. Furthermore, we provide a way to obtain such a structure, starting from actions of monoidal categories with parameterized adjoints. The motivating goal is to capture certain example cases, like the fibration of modules over algebras enriched in the opfibration of comodules over coalgebras.
Cite
@article{arxiv.1801.01386,
title = {On Enriched Fibrations},
author = {Christina Vasilakopoulou},
journal= {arXiv preprint arXiv:1801.01386},
year = {2018}
}
Comments
22 pages. New version incorporates revisions, adjustments and addition of material, according to reviewer's suggestions. To appear to "Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques"