A Survey of Definitions of n-Category

Tom Leinster

A Survey of Definitions of n-Category

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arxiv math/0107188 v1 pith:KO2UWED3 submitted 2001-07-25 math.CT math.AGmath.ATmath.QA

Tom Leinster This is my paper · ORCID

classification math.CTmath.AGmath.ATmath.QA

keywords definitionsn-categorypagesbibliographychattydefinitionfollowsfurther

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Many people have proposed definitions of `weak n-category'. Ten of them are presented here. Each definition is given in two pages, with a further two pages on what happens when n = 0, 1, or 2. The definitions can be read independently. Chatty bibliography follows.

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Generalized forms of types N = 1, 2 and higher gauge theory
math-ph 2026-01 conditional novelty 6.0 of 10

Strict 2- and 3-gauge theory is re-expressed in a single generalized-form formalism in which higher connections, curvatures, Bianchi identities, and gauge transformations match ordinary gauge-theory form, yielding uni...

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