On boundedly metacompact and boundedly paracompact spaces
Authors:
P. Fletcher, R. A. McCoy and R. Slover
Journal:
Proc. Amer. Math. Soc. 25 (1970), 335-342
MSC:
Primary 54.70
DOI:
https://doi.org/10.1090/S0002-9939-1970-0257993-6
MathSciNet review:
0257993
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Abstract | References | Similar Articles | Additional Information
Abstract: This paper introduces bounded paracompactness and relates the concept to compactness, paracompactness, and covering dimension.
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- C. H. Dowker, Local dimension of normal spaces, Quart. J. Math. Oxford Ser. (2) 6 (1955), 101–120. MR 86286, DOI https://doi.org/10.1093/qmath/6.1.101
- John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. MR 0070144
- Ernest Michael, A note on paracompact spaces, Proc. Amer. Math. Soc. 4 (1953), 831–838. MR 56905, DOI https://doi.org/10.1090/S0002-9939-1953-0056905-8
- Jun-iti Nagata, Modern dimension theory, Bibliotheca Mathematica, Vol. VI, Interscience Publishers John Wiley & Sons, Inc., New York, 1965. Edited with the cooperation of the “Mathematisch Centrum” and the “Wiskundig Genootschap” at Amsterdam. MR 0208571
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Additional Information
Keywords:
Paracompact,
boundedly paracompact,
metacompact,
boundedly metacompact,
point finite cover,
locally finite cover,
collectionwise normal,
hereditarily paracompact,
finite-dimensional,
infinite-dimensional,
<IMG WIDTH="18" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="$n$">-discrete collection,
compact
Article copyright:
© Copyright 1970
American Mathematical Society