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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 2, Pages 7–10 (Mi vmumm3462)  
Mathematics

On inductive dimensions

V. A. Chatyrko
Full-text PDF (531 kB)
Abstract: We give a definition of dimensional functions $\sigma_f\operatorname{Ind}$, $\sigma_f\operatorname{ind}$ and then prove some factorization theorems for these functions in the class of compact spaces. We show the nonexistence of the universal space in the class of compact spaces $X$ with $\sigma\operatorname{Ind}X\le1$ and $w X\le\varepsilon$.
Received: 28.05.1981
Bibliographic databases:
Document Type: Article
UDC: 513.83
Language: Russian
Citation: V. A. Chatyrko, “On inductive dimensions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 2, 7–10
Citation in format AMSBIB
\Bibitem{Cha83}
\by V.~A.~Chatyrko
\paper On inductive dimensions
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1983
\issue 2
\pages 7--10
\mathnet{http://mi.mathnet.ru/vmumm3462}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0697213}
\zmath{https://zbmath.org/?q=an:0559.54030}
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