Base Normal Inductive Dimension I of Cubes


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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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