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Article . 2020
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Discrete 2-fibrations

english
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 May 2024Embargo end date: 01 Jan 2020Publisher:Institute of Mathematics, Czech Academy of SciencesJournal:Higher Structures, volume 8, pages 54-96Funded by:NSERC | unidentified
Authors: Lambert, Michael;

doi: 10.21136/hs.2024.02 , 10.48550/arxiv.2001.11477

arXiv: 2001.11477

Discrete 2-fibrations

Abstract

This paper is concerned with developing a 2-dimensional analogue of the notion of an ordinary discrete fibration. A definition is proposed, and it is shown that such discrete 2-fibrations correspond via a 2-equivalence to certain category-valued 2-functors. The ultimate goal of the paper is to show that discrete 2-fibrations are 2-monadic over a slice of the 2-category of categories.

43 pages

Keywords

Fibered categories, Lax transformations, 2-fibrations, FOS: Mathematics, Mathematics - Category Theory, Category Theory (math.CT), discrete fibrations, monadicity

  • BIP!
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    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).
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    popularity
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    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
2
Average
Average
Average
Green