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Paracompactness, metacompactness, and semi-open covers


Author: Heikki J. K. Junnila
Journal: Proc. Amer. Math. Soc. 73 (1979), 244-248
MSC: Primary 54D18
DOI: https://doi.org/10.1090/S0002-9939-1979-0516472-7
MathSciNet review: 516472
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Abstract: Paracompactness and metacompactness are characterized in terms of locally finite and point-finite semi-open refinements of open covers. It follows from one of these characterizations that a continuous image of a paracompact space under a pseudo-open and compact mapping is metacompact.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0516472-7
Keywords: Paracompact, metacompact, semi-open cover, monotone cover, pseudo-open mapping
Article copyright: © Copyright 1979 American Mathematical Society

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