Whitney Approximation for Smooth CW Complex
Algebraic Topology
2022-08-12 v4 Geometric Topology
Abstract
We show a Whitney Approximation Theorem for a continuous map from a manifold to a smooth CW complex. This enables us to show that a topological CW complex is homotopy equivalent to a smooth CW complex in a category of topological spaces. It is also shown that, for any open covering of a smooth CW complex, there exists a partition of unity subordinate to the open covering.
Cite
@article{arxiv.2001.02893,
title = {Whitney Approximation for Smooth CW Complex},
author = {Norio Iwase},
journal= {arXiv preprint arXiv:2001.02893},
year = {2022}
}
Comments
10 pages