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 language | English (US) |
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Pages (from-to) | 181-196 |
Number of pages | 16 |
Journal | Journal of Pure and Applied Algebra |
Volume | 218 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 2014 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory