Recognizing mapping spaces

Bernard Badzioch; David Blanc; Wojciech Dorabiała

doi:10.1016/j.jpaa.2013.05.004

Recognizing mapping spaces

Bernard Badzioch, David Blanc, Wojciech Dorabiała

Division of Mathematics & Natural Sciences (Altoona)

Research output: Contribution to journal › Article

3 Scopus citations

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 CW_AY from map_*(A, Y), inspired by Dror-Farjoun's construction of CW_A-approximations.

Original language	English (US)
Pages (from-to)	181-196
Number of pages	16
Journal	Journal of Pure and Applied Algebra
Volume	218
Issue number	1
DOIs	https://doi.org/10.1016/j.jpaa.2013.05.004
Publication status	Published - Jan 1 2014

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All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Cite this

Badzioch, B., Blanc, D., & Dorabiała, W. (2014). Recognizing mapping spaces. Journal of Pure and Applied Algebra, 218(1), 181-196. https://doi.org/10.1016/j.jpaa.2013.05.004

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10.1016/j.jpaa.2013.05.004