A note on localizations of mapping spaces

Bernard Badzioch; Wojciech Dorabiała

doi:10.1007/s11856-010-0054-5

A note on localizations of mapping spaces

Bernard Badzioch, Wojciech Dorabiała

Division of Mathematics & Natural Sciences (Altoona)

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

3 Scopus citations

Abstract

We show that if A is a simply connected, finite, pointed CW-complex, then the mapping spaces Map_*(A,X) are preserved by the localization functors only if A has the rational homotopy type of a wedge of spheres V_lS^k.

Original language	English (US)
Pages (from-to)	441-444
Number of pages	4
Journal	Israel Journal of Mathematics
Volume	177
Issue number	1
DOIs	https://doi.org/10.1007/s11856-010-0054-5
State	Published - Sep 3 2010

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "A note on localizations of mapping spaces",

abstract = "We show that if A is a simply connected, finite, pointed CW-complex, then the mapping spaces Map*(A,X) are preserved by the localization functors only if A has the rational homotopy type of a wedge of spheres VlSk.",

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

year = "2010",

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doi = "10.1007/s11856-010-0054-5",

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AU - Dorabiała, Wojciech

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AB - We show that if A is a simply connected, finite, pointed CW-complex, then the mapping spaces Map*(A,X) are preserved by the localization functors only if A has the rational homotopy type of a wedge of spheres VlSk.

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