2006/06/19 by David Blanc, Blanc, David
Mathematics · #18G55 #55P65 #55Q35 #55U35 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:18G55 #msc:55P65 #msc:55Q35 #msc:55U35
paper · pdf · doi:10.48550/arxiv.math/0606458
28 pages
arxiv created 2006/06/19 · openalex publication_date 2006/06/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given a suitable functor T:C -> D between model categories, we define a long exact sequence relating the homotopy groups of any X in C with those of TX, and use this to describe an obstruction theory for lifting an object G in D to C. Examples include finding spaces with given homology or homotopy groups.