Detecting Mapping Spaces
Algebraic Topology
2019-03-15 v1
Abstract
We show if is a finite CW-complex such that algebraic theories detect mapping spaces out of , then has the homology type of a wedge of spheres of the same dimension. Furthermore, if is simply connected then has the homotopy type of a wedge of spheres.
Cite
@article{arxiv.1903.05668,
title = {Detecting Mapping Spaces},
author = {Alyson Bittner},
journal= {arXiv preprint arXiv:1903.05668},
year = {2019}
}