Recognizing mapping spaces

Bernard Badzioch, David Blanc, Wojciech Dorabiała

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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
Issue number1
StatePublished - Jan 2014

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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