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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 441-444 |
| Number of pages | 4 |
| Journal | Israel Journal of Mathematics |
| Volume | 177 |
| Issue number | 1 |
| DOIs | |
| State | Published - Sep 3 2010 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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A note on localizations of mapping spaces. / Badzioch, Bernard; Dorabiala, Wojciech.
In: Israel Journal of Mathematics, Vol. 177, No. 1, 03.09.2010, p. 441-444.Research output: Contribution to journal › Article
TY - JOUR
T1 - A note on localizations of mapping spaces
AU - Badzioch, Bernard
AU - Dorabiala, Wojciech
PY - 2010/9/3
Y1 - 2010/9/3
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=77956108027&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77956108027&partnerID=8YFLogxK
U2 - 10.1007/s11856-010-0054-5
DO - 10.1007/s11856-010-0054-5
M3 - Article
AN - SCOPUS:77956108027
VL - 177
SP - 441
EP - 444
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
SN - 0021-2172
IS - 1
ER -