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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 2, Pages 463–471 (Mi smj2651)  
Semigroups of topological mappings and dimension

V. Sh. Yusufov

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku, Azerbaijan
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Abstract: We define the dimension of an arbitrary subset with nonempty interior in a finite-dimensional Euclidean space in terms of semigroups of its topological mappings.
Keywords: dimension, topological space, semigroup.
Received: 16.01.2012
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 2, Pages 373–378
DOI: https://doi.org/10.1134/S0037446615020172
Bibliographic databases:
Document Type: Article
UDC: 512.534.24
Language: Russian
Citation: V. Sh. Yusufov, “Semigroups of topological mappings and dimension”, Sibirsk. Mat. Zh., 56:2 (2015), 463–471; Siberian Math. J., 56:2 (2015), 373–378
Citation in format AMSBIB
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