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Theory and Applications of Categories
Article . 2022 . Peer-reviewed
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Preprint . 2022
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zbMATH Open
Article . 2022
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Double Fibrations

Double fibrations
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2022 English Publisher:Mount Allison UniversityJournal:Theory and Applications of Categories, volume 38, pages 1,326-1,394 (eissn: 1201-561X, Copyright policy )Funded by:NSERC | unidentified
Authors: Cruttwell, G. S. H.; Lambert, M. J.; Pronk, D. A.; Szyld, M.;

doi: 10.70930/tac/a52f5osy

arXiv: 2205.15240

Double Fibrations

Abstract

This paper defines double fibrations (fibrations of double categories) and describes their key examples and properties. In particular, it shows how double fibrations relate to existing fibrational notions such as monoidal fibrations and discrete double fibrations, proves a representation theorem for double fibrations, and shows how double fibrations are a type of internal fibration.

Comment: 59 pages

Keywords

Fibered categories, double categories, internal fibrations, fibrations of categories, Mathematics - Category Theory, 2-categories, bicategories, double categories, internal categories, 18N10, 18D30

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
gold