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Topological Dimension and Independence Structures

โœ Scribed by Firby, P. A.


Book ID
120095045
Publisher
Oxford University Press
Year
1981
Tongue
English
Weight
56 KB
Volume
s2-23
Category
Article
ISSN
0024-6107

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Topological dimension and sums of connec
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