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Ordered compactifications with countable remainders

Published online by Cambridge University Press:  17 April 2009

D.C. Kent  and
T.A. Richmond
D.C. Kent
Affiliation:
Department of Pure and Applied Mathematics WashingtonState University Pullman, WA 99164–3113United States of America
T.A. Richmond
Affiliation:
Department of Mathematics Western KentuckyUniversity Bowling Green, KY 42101United States of America
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It is shown that if a partially-ordered topological space X admits a finite-point T2-ordered compactification, then it admits a countable T2-ordered compactification if and only if it admits n−point T2-ordered compactifications for all n beyond some integer m.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 3 , June 1994 , pp. 483 - 488
Copyright
Copyright © Australian Mathematical Society 1994

References

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