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Point (Countable) paracompactness

Published online by Cambridge University Press:  09 April 2009

J. M. Boyte
J. M. Boyte
Affiliation:
Appalachian State University, Boone, North Carolina, 28607, U.S.A.
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This paper introduces two new separation axioms, point paracompactness and point countable paracompactness, both somewhat weaker than regularity, and shows that they can replace regularity in several standard theorems about paracompact or absolutely H-closed or Lindelöf spaces. Thus we obtain sharpened versions of these theorems. We also show that under certain hypotheses the new properties are equivalent to regularity.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 2 , March 1973 , pp. 138 - 144
Copyright
Copyright © Australian Mathematical Society 1973

References

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