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The Structure of Continuous {0, 1}-Valued Functions on a Topological Product

Published online by Cambridge University Press:  20 November 2018

S. Broverman
S. Broverman*
Affiliation:
University of Manitoba Winnipeg, Manitoba
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In this paper we investigate the question of which continuous ﹛0, 1﹜-valued functions on a product space admit continuous extensions to where βXα is the Stone-Čech compactification of Xa and ﹛0, 1﹜ denotes the two point discrete space. This problem is clearly equivalent to determining which clopen subsets of have clopen closures in .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 3 , 01 June 1976 , pp. 553 - 559
Copyright
Copyright © Canadian Mathematical Society 1976

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