Article
Dispersion points and continuous functions
Topology and its Applications
(1988)
Abstract
The aim of this paper is to answer the following question raised by J. Cobb and W. Voxman in 1980: If X is a connected space with a dispersion point p, and if ƒ: X→X is a nonconstant continuous function, then is ƒ(p)=p? The answer to this question is negative, and we give a counterexample along with three theorems on a space with a dispersion point. MSC Primary 54F50; secondary 54B15
Keywords
- Topology,
- Mathematics,
- Dispersion points
Disciplines
Publication Date
1988
Publisher Statement
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Citation Information
Hidefumi Katsuura. "Dispersion points and continuous functions" Topology and its Applications Vol. 28 Iss. 3 (1988) Available at: http://works.bepress.com/hidefumi_katsuura/9/