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A Non-Standard Characterization of Perfect Mappings

Published online by Cambridge University Press:  20 November 2018

Robert Warren Button
Robert Warren Button*
Affiliation:
Southern Illinois University, Carbondale, Illinois
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The central theorem of this note was proposed to me by I. Juhâsz on a napkin in Canter's restaurant in Pittsburgh, Pennsylvania. We agreed that if the proposition could be proven it would have some elegant applications and although it required a slight change before it could be proven, hopefully those expectations will be realized in this note.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 6 , 01 December 1976 , pp. 1277 - 1279
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Button, R. W., Monads for regular and normal spaces, Notre Dame Journal of Formal Logic 3 (1976) 449–456.Google Scholar
2. Dugundji, J., Topology (Allyn and Bacon, Inc., Boston, 1966).Google Scholar
3. Machover, M. and Hirschfeld, J., Lectures on non-standard analysis, Lecture Notes in Mathematics 94 (Springer-Verlag, Berlin, 1969).Google Scholar
4. Robinson, A., Non-standard analysis, studies in logic and the foundations of mathematics (North-Holland Publishing Co., Amsterdam, 1966).Google Scholar