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Point (Countable) paracompactness
Published online by Cambridge University Press: 09 April 2009
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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.
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- Research Article
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- Copyright © Australian Mathematical Society 1973
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