A closed manifold is a fat CW complex
| Autor: | Iwase, Norio, Kojima, Yuki |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we introduce a notion of a fat CW complex to show that a closed manifold is a regular CW complex, while it is not always the case if we discuss about a smooth CW structure, introduced by the first author, instead of a fat CW structure. We also verify that de Rham theorem holds for a fat CW complex and that a regular CW complex is reflexive in the sense of Y.~Karshon, J.~Watts and P.~I-Zemmour. Further, any topological CW complex is topologically homotopy equivalent to a fat CW complex. It implies that there are lots of non-manifold examples supporting de Rham theorem. Comment: 17 pages |
| Databáze: | arXiv |
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