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Selected Works of Hidefumi Katsuura
Article
Dispersion points and continuous functions
Topology and its Applications (1988)
  • Hidefumi Katsuura, San Jose State University
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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
SJSU users: use the following link to login and access the article via SJSU databases
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/