Categorical and combinatorial aspects of descent theory | Macquarie University ResearchOnline

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Title: Categorical and combinatorial aspects of descent theory
Related: Applied categorical structures, Vol. 12, Issue 5-6, p.537-576
DOI: 10.1023/B:APCS.0000049317.24861.36
Publisher: Kluwer Academic Publishers
Date: 2004
Author/Creator: Street, Ross
Description: There is a construction which lies at the heart of descent theory. The combinatorial aspects of this paper concern the description of the construction in all dimensions. The description is achieved precisely for strict n-categories and outlined for weak n-categories. The categorical aspects concern the development of descent theory in low dimensions in order to provide a template for a theory in all dimensions. The theory involves non-abelian cohomology, stacks, torsors, homotopy, and higher-dimensional categories. Many of the ideas are scattered through the literature or are folklore; a few are new.
Description: 40 page(s)
Subject Keyword: n-category
Subject Keyword: weak n-category
Subject Keyword: stack
Subject Keyword: cohomology
Subject Keyword: descent
Subject Keyword: factorization system
Subject Keyword: computad
Subject Keyword: parity complex
Subject Keyword: torsor
Resource Type: journal article
Organisation: Macquarie University. Dept. of Mathematics

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