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Title: Homomorphisms of higher categories
Related: Advances in mathematics, Vol. 224, Issue 6 (2010), p.2269-2311
DOI: 10.1016/j.aim.2010.01.022
Publisher: Elsevier
Date: 2010
FoR/RFCD Code(s): 010100 Pure Mathematics
Author/Creator: Garner, Richard
Description: We describe a construction that to each algebraically specified notion of higher-dimensional category associates a notion of homomorphism which preserves the categorical structure only up to weakly invertible higher cells. The construction is such that these homomorphisms admit a strictly associative and unital composition. We give two applications of this construction. The first is to tricategories; and here we do not obtain the trihomomorphisms defined by Gordon, Power and Street, but rather something which is equivalent in a suitable sense. The second application is to Batanin's weak ω-categories.
Description: 43 page(s)
Subject Keyword: 010100 Pure Mathematics
Subject Keyword: higher-dimensional categories
Subject Keyword: weak morphisms
Subject Keyword: abstract homotopy theory
Resource Type: journal article
Organisation: Macquarie University. Dept. of Computing

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