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Homotopy Fibre Sequences Induced by 2-Functors

2009/09/23 by Antonio M. Cegarra, Cegarra, Antonio M. · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AT #math.CT #msc:18D05 #msc:18F25. #msc:55P15

paper · pdf · doi:10.48550/arxiv.0909.4229

The paper has been improved following referee's sugestions, to which the author would like to express his gratitude.

arxiv created 2010/03/25 · arxiv updated 2010/03/26

Abstract

This paper contains some contributions to the study of the relationship between 2-categories and the homotopy types of their classifying spaces. Mainly, generalizations are given of both Quillen's Theorem B and Thomason's Homotopy Colimit Theorem to 2-functors.

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