光滑cw复合体的惠特尼近似

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics 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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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.