Recognizing mapping spaces

Bernard Badzioch, David Blanc, Wojciech Dorabiała

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Abstract

Given a fixed object A in a suitable pointed simplicial model category C, we study the problem of recovering the target Y from the pointed mapping space map*(A, Y) (up to A-equivalence). We describe a recognition principle, modeled on the classical ones for loop spaces, but using the more general notion of an A-mapping algebra. It has an associated transfinite procedure for recovering CWAY from map*(A, Y), inspired by Dror-Farjoun's construction of CWA-approximations.

Original languageEnglish (US)
Pages (from-to)181-196
Number of pages16
JournalJournal of Pure and Applied Algebra
Volume218
Issue number1
DOIs
Publication statusPublished - Jan 1 2014

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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