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A Class of Function Algebras

Published online by Cambridge University Press:  20 November 2018

F. W. Anderson
F. W. Anderson*
Affiliation:
University of Oregon
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A problem which has generated considerable interest during the past couple of decades is that of characterizing abstractly systems of realvalued continuous functions with various algebraic or topological-algebraic structures. With few exceptions known characterizations are of systems of bounded continuous functions on compact or locally compact spaces. Only recently have characterizations been given of the systems C(X) of all realvalued continuous functions on an arbitrary completely regular space X (1). One of the main objects of this paper is to provide, by using certain special techniques, a characterization of C(X) for a particular class of (not necessarily compact) completely regular spaces.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 12 , 1960 , pp. 353 - 362
Copyright
Copyright © Canadian Mathematical Society 1960

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