A short proof that Rezk's nerve is fully faithful

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Fabian Hebestreit , Jan Steinebrunner This is my paper · ORCID

classification math.CTmath.AT

keywords proofanimaecategoriescompleteequivalentfaithfulfullygive

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We give a simple proof that complete Segal animae are equivalent to categories.

Forward citations

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Lectures on bar and cobar
math.AT 2025-07 conditional novelty 7.0 of 10

The author unifies classical and derived bar and cobar constructions via twisted arrow categories of infinity-operads, giving new existence proofs and recovering classical comparison maps.
On orthogonal factorization systems and double categories
math.CT 2025-01 conditional novelty 7.0 of 10

In infinity-category theory, factorization systems embed fully faithfully into double infinity-categories, with an unstraightening theorem and a complete Z/2Z automorphism group for adequate systems.