A note on subparacompact spaces
Author:
R. E. Hodel
Journal:
Proc. Amer. Math. Soc. 25 (1970), 842-845
MSC:
Primary 54.50
DOI:
https://doi.org/10.1090/S0002-9939-1970-0263024-4
MathSciNet review:
0263024
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Abstract | References | Similar Articles | Additional Information
Abstract: The main result in this paper states that every metacompact space in which every closed set is a ${G_\delta }$ is subparacompact. The class of countably subparacompact spaces is introduced and several results about such spaces are proved.
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Additional Information
Keywords:
Metacompact,
<!– MATH ${G_\delta }$ –> <IMG WIDTH="30" HEIGHT="38" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="${G_\delta }$">-set,
subparacompact,
screenable,
countably subparacompact,
countably metacompact
Article copyright:
© Copyright 1970
American Mathematical Society