A note on localizations of mapping spaces
Algebraic Topology
2008-08-05 v1
Abstract
We show that if A is a simply connected, finite, pointed CW-complex then the mapping spaces Map(A, -) are preserved by the localization functors only if A has the rational homotopy type of a wedge of spheres of a fixed dimension.
Cite
@article{arxiv.0808.0373,
title = {A note on localizations of mapping spaces},
author = {Bernard Badzioch and Wojciech Dorabiala},
journal= {arXiv preprint arXiv:0808.0373},
year = {2008}
}
Comments
4 pages