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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 3, Pages 7–14 (Mi vmumm870)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

The inductive dimension of a space by its normal base

D. Georgioua, S. Iliadisa, K. L. Kozlovb

a Department of Mathematics, University of Patras, Greece
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (261 kB) Citations (1)
Abstract: {Properties of the large inductive dimension of a space by its normal base introduced by S. Iliadis are studied. The proposed dimension-like functions generalize both classic dimensions $\operatorname{Ind}$, $\operatorname{Ind}_0$ and relative inductive dimensions $\mathrm{I}$. It is shown what properties of the normal base characterize the fullfilment of basic classic theorems of the dimension theory (sum, subset and product theorems).
Key words: large inductive dimension, normal base, sum, subset and product theorems.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation РНП 2.1.1.7988
Received: 12.05.2008
Bibliographic databases:
Document Type: Article
UDC: 515.127
Language: Russian
Citation: D. Georgiou, S. Iliadis, K. L. Kozlov, “The inductive dimension of a space by its normal base”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3, 7–14
Citation in format AMSBIB
\Bibitem{GeoIliKoz09}
\by D.~Georgiou, S.~Iliadis, K.~L.~Kozlov
\paper The inductive dimension of a space by its normal base
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2009
\issue 3
\pages 7--14
\mathnet{http://mi.mathnet.ru/vmumm870}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664492}
\zmath{https://zbmath.org/?q=an:1304.54058}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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