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Classification spaces of maps in model categories

2006/04/25 by Daniel Dugger, Dugger, Daniel
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #math.CT

paper · pdf · doi:10.48550/arxiv.math/0604537

updated references, minor changes in terminology

openalex publication_date 2006/04/25 · arxiv created 2009/06/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper corrects a small mistake in a paper of Dwyer-Kan, and uses this to identify homotopy function complexes in a model category with the nerves of certain categories of zig-zags.

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