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On dimension functions and topological Markov chains

โœ Scribed by Wolfgang Krieger

Publisher
Springer-Verlag
Year
1980
Tongue
English
Weight
407 KB
Volume
56
Category
Article
ISSN
0020-9910

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๐Ÿ“œ SIMILAR VOLUMES

Topological dimension and sums of connec
Topological dimension and sums of connectivity functions
โœ Krzysztof Ciesielski; Jerzy Wojciechowski ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 105 KB

The main goal of this paper is to show that the inductive dimension of a ฯƒ -compact metric space X can be characterized in terms of algebraical sums of connectivity (or Darboux) functions X โ†’ R. As an intermediate step we show, using a result of Hayashi [Topology Appl. 37 (1990) 83], that for any d