1998/10/12 by Sadok Kallel, Kallel, Sadok
Mathematics · #55P10 #55P35 #55P47 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55P10 #msc:55P35 #msc:55P47
paper · pdf · doi:10.48550/arxiv.math/9810068
15 pages. Submitted for publication
arxiv created 1998/10/12 · openalex publication_date 1998/10/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By considering labeled configurations of ``bounded multiplicity'', one can construct a functor that fits between homology and stable homotopy. Based on previous work, we are able to give an equivalent description of this labeled construction in terms of loop space functors and symmetric products. This yields a direct generalization of the May-Milgram model for iterated loop spaces, and answers questions of Carlsson and Milgram posed in the handbook. We give a classifying space formulation of our results hence extending an older result of Segal. We finally relate our labeled construction to a theory of Lesh and give a generalization of a well-known theorem of Quillen, Barratt and Priddy.