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Nonstandard approach to the dimension of a topological space - MaRDI portal

Nonstandard approach to the dimension of a topological space (Q1364712)

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scientific article; zbMATH DE number 1053373
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Nonstandard approach to the dimension of a topological space
scientific article; zbMATH DE number 1053373

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    Nonstandard approach to the dimension of a topological space (English)
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    15 October 1997
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    Dans cet exposé, reprenant une idée de \textit{J.-P. Reveillès} [C. R. Acad. Sci., Paris, Sér. I 299, No. 14, 707-710 (1984; Zbl 0572.54032)] nous proposons une définition non-standard de la dimension d'un espace topologique et nous montrons que ce nouvel invariant topologique coïncide dans le cas des espaces métriques séparables avec les définitions classiques -- petite dimension inductive (ind), grande dimension inductive (Ind) et dimension de Lebesgue (dim).
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