光滑cw复合体的惠特尼近似

Pub Date : 2020-01-09 DOI:10.2206/kyushujm.76.177

Norio Iwase

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引用次数: 4

摘要

[II19]中的定理A.1声称拓扑CW复形在没有细节的情况下与光滑CW复形是同构等价的。为了给出更精确的证明，我们展示了光滑CW复形的Whitney近似的一个版本，这实际上使我们能够给出[II19]中定理a.1的具体证明。

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WHITNEY APPROXIMATION FOR SMOOTH CW COMPLEX

Theorem A.1 in [II19] claimed that a topological CW complex is homotopy equivalent to a smooth CW complex without details. To give a more precise proof, we show a version of Whitney Approximation for a smooth CW complex, which actually enables us to give a concrete proof for Theorem A.1 in [II19].

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