Nonstandard approach to the dimension of a topological space
type: Item
instance of: scholarly article
title: Nonstandard approach to the dimension of a topological space
zbMATH Open document ID: 0872.54027
published in: Annales Mathématiques Blaise Pascal
publication date: 1997-10-15T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/79175
review text: 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).
Mathematics Subject Classification ID: 54F45
Mathematics Subject Classification ID: 54J05
zbMATH DE Number: 1053373
author: Bernard Brunet
MaRDI profile type: Publication
OpenAlex ID: W2320467591
cites work: On the dimension of ordered spaces
cites work: Q4185470
cites work: Q5654759
cites work: Q5790841
cites work: Q3689868
cites work: Nonequality of Dimensions for Metric Spaces
cites work: Q3213866
DOI: 10.5802/AMBP.83
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description: scientific article; zbMATH DE number 1053373