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The elementary construction of formal anafunctors

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arxiv 1808.04552 v4 pith:CFHNMS3L submitted 2018-08-14 math.CT

David Michael Roberts This is my paper · ORCID
classification math.CT
keywords anafunctorsconstructionelementaryfaithfulformalanalogousarticlebicategory
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This article gives an elementary and formal 2-categorical construction of a bicategory of right fractions analogous to anafunctors, starting from a 2-category equipped with a family of covering maps that are fully faithful and co-fully faithful.

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  1. Bicategories of fractions revisited: towards small homs and canonical 2-cells

    math.CT 2019-08 conditional novelty 6.0 of 10

    The paper introduces weaker axioms for bicategories of fractions that permit smaller classes of invertible arrows, yielding small hom-categories and canonical representatives for 2-cells, and sketches how this applies...

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