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A note on compactifications and semi-normal spaces

Published online by Cambridge University Press:  09 April 2009

R. A. Alo  and
H. L. Shapiro
R. A. Alo
Affiliation:
The Carnegie Institute of Technology
H. L. Shapiro
Affiliation:
The Pennsylvania State University
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Recently Orrin Frink (see [2]) gave a neat internal characterization of Tychonoff or completely regular T spaces. This characterization was given in terms of the notion of a normal base for the closed sets of a space X. A normal base for the closed sets of a space X is a base which is a disjunctive ring of sets, disjoint members of which may be separated by disjoint complements of members of . In a normal space the ring of closed sets is a normal base.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 1 , February 1968 , pp. 102 - 108
Copyright
Copyright © Australian Mathematical Society 1968

References

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