Topology Proceedings Document # baah-01
topology proceedings
Electronic Version 18 (1993), 323-328

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Fractional topological dimension function

Koichi Tsuda and Massayoshi Hata

We shall study the relationship between the usual topological covering dimension function and real-valued dimension functions satisfying Menger's axioms defined on some subcollections of separable metric spaces. In particular, the existence of topological dimension functions taking every non-negative real value is shown for locally compact spaces.

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topology proceedings Electronic Version


Copyright © 1997 Auburn University and Topology Atlas | Date published electronically: May 12, 1997