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This article is cited in 6 scientific papers (total in 6 papers)
An example of a compact Hausdorff space whose Lebesgue, Brouwer, and inductive dimensions are different
V. V. Fedorchuk M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We construct an example of a separable compact Hausdorff space $B$ satisfying the first countability axiom of dimension $2=\dim B<\operatorname{Dg}B=3<\operatorname{ind}B=4=\operatorname{Ind}B$, where $\operatorname{Dg}$ is the inductive dimension invariant introduced by Brouwer in 1913 under the name “Dimensionsgrad”.
Received: 31.07.2003
Citation:
V. V. Fedorchuk, “An example of a compact Hausdorff space whose Lebesgue, Brouwer, and inductive dimensions are different”, Mat. Sb., 195:12 (2004), 109–122; Sb. Math., 195:12 (2004), 1809–1822
Linking options:
https://www.mathnet.ru/eng/sm868https://doi.org/10.1070/SM2004v195n12ABEH000868 https://www.mathnet.ru/eng/sm/v195/i12/p109
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Abstract page: | 478 | Russian version PDF: | 225 | English version PDF: | 10 | References: | 77 | First page: | 3 |
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