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arXiv · 2001.02893

Whitney Approximation for Smooth CW Complex

Norio Iwase
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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.

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Norio Iwase. 2020-01-09. Whitney Approximation for Smooth CW Complex. https://doi.org/10.2206/kyushujm.76.177

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