Base Normal Inductive Dimension I of Cubes
- Authors: Karassev A.1, Kozlov K.L.2
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Affiliations:
- Department of Computer Science and Mathematics, Nipissing University
- Department of General Topology and Geometry, Faculty of Mechanics and Mathematics, Moscow State University
- Issue: Vol 223, No 6 (2017)
- Pages: 725-733
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239436
- DOI: https://doi.org/10.1007/s10958-017-3382-8
- ID: 239436
Cite item
Abstract
It is shown that {1,∞} is the set of possible base normal inductive dimensions I of the segment I = [0, 1], and {n, n+1, . . . ,∞} is the set of possible base normal inductive dimensions I of the n-dimensional cubes In for n ≥ 2.
About the authors
A. Karassev
Department of Computer Science and Mathematics, Nipissing University
Author for correspondence.
Email: alexandk@nipissingu.ca
Canada, 100 College Drive, North Bay, ON, P1B 8L7
K. L. Kozlov
Department of General Topology and Geometry, Faculty of Mechanics and Mathematics, Moscow State University
Email: alexandk@nipissingu.ca
Russian Federation, Moscow, 119991
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