Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Metacompactness, paracompactness, and interior-preserving open covers


Author: Heikki J. K. Junnila
Journal: Trans. Amer. Math. Soc. 249 (1979), 373-385
MSC: Primary 54D18; Secondary 54D20
DOI: https://doi.org/10.1090/S0002-9947-1979-0525679-9
MathSciNet review: 525679
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper metacompactness and paracompactness are characterized in terms of the existence of closure-preserving closed refinements and interior-preserving open star-refinements of interior-preserving directed open covers of a topological space. Several earlier results on metacompact spaces and paracompact spaces are obtained as corollaries to these characterizations. For a Tychonoff-space X, metacompactness of X is characterized in terms of orthocompactness of $ X\, \times \,\beta X$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 54D18, 54D20

Retrieve articles in all journals with MSC: 54D18, 54D20


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1979-0525679-9
Keywords: Metacompact, paracompact, interior-preserving, closure-preserving, directed cover, orthocompact, $ {M^\char93 }$-space
Article copyright: © Copyright 1979 American Mathematical Society