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

Mathematics

University of Haifa
Pennsylvania State University

Research output: Contribution to journal › Article › peer-review

4 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
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
State	Published - Jan 2014

Access to Document

10.1016/j.jpaa.2013.05.004

Cite this

@article{7be596f4ffa745f59493049719d955f7,

title = "Recognizing mapping spaces",

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.",

author = "Bernard Badzioch and David Blanc and Wojciech Dorabia{\l}a",

year = "2014",

month = jan,

doi = "10.1016/j.jpaa.2013.05.004",

language = "English",

volume = "218",

pages = "181--196",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - Recognizing mapping spaces

AU - Badzioch, Bernard

AU - Blanc, David

AU - Dorabiała, Wojciech

PY - 2014/1

Y1 - 2014/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84886640808

U2 - 10.1016/j.jpaa.2013.05.004

DO - 10.1016/j.jpaa.2013.05.004

M3 - Article

AN - SCOPUS:84886640808

SN - 0022-4049

VL - 218

SP - 181

EP - 196

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 1

ER -

Recognizing mapping spaces

Abstract

Access to Document

Other files and links

Fingerprint

Cite this