# WHITNEY APPROXIMATION FOR SMOOTH CW COMPLEX

## 抄録

We show a Whitney approximation theorem for a continuous map from a manifold to a smooth CW complex, which 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. In addition, we observe that there are enough many smooth functions on a smooth CW complex.

本文言語 英語 177-186 10 Kyushu Journal of Mathematics 76 1 https://doi.org/10.2206/kyushujm.76.177 出版済み - 2022

• 数学 (全般)

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