Lectures on n-Categories and Cohomology

Details Lectures on n-Categories and Cohomology Lectures on n-Categories and Cohomology

2006-08-16

arxiv.org/abs/math/0608420v2

Mathematics

Category Theory

66 pages, 2 eps figures

Scientific paper

The goal of these talks was to explain how cohomology and other tools of algebraic topology are seen through the lens of n-category theory. Special topics include nonabelian cohomology, Postnikov towers, the theory of "n-stuff", and n-categories for n = -1 and -2. The talks were very informal, and so are these notes. A lengthy appendix clarifies certain puzzles and ventures into deeper waters such as higher topos theory. For readers who want more details, we include an annotated bibliography.

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