光滑CW复形的Whitney逼近
Whitney Approximation for Smooth CW Complex
摘要：
本文证明了从流形到光滑CW复形的连续映射的Whitney逼近定理。这使我们能够证明拓扑CW复形同伦等价于拓扑空间范畴中的光滑CW复形。对光滑CW复形的任何开覆盖，都存在从属于该开覆盖的单位单位分解.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
