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An Algebraic Characterization of Remainders of Compactifications

Published online by Cambridge University Press:  20 November 2018

James Hatzenbuhler ,
Don A. Mattson  and
Walter S. Sizer
James Hatzenbuhler
Affiliation:
Moorhead State UniversityMoorhead, Minnesota56560
Don A. Mattson
Affiliation:
Moorhead State UniversityMoorhead, Minnesota56560
Walter S. Sizer
Affiliation:
Moorhead State UniversityMoorhead, Minnesota56560
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Abstract

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Let X be a locally compact, completely regular Hausdorff space. In this paper it is shown that all compact metric spaces are remainders of X if and only if the quotient ring C*(X)/C∞(X) contains a subring having no primitive idempotents.

Keywords

54D30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 3 , 01 September 1983 , pp. 347 - 350
Copyright
Copyright © Canadian Mathematical Society 1983

References

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