Closure-preserving families and metacompactness
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- by Henry Potoczny and Heikki Junnila PDF
- Proc. Amer. Math. Soc. 53 (1975), 523-529 Request permission
Abstract:
It is the purpose of this paper to show that if a space $X$ admits a closure-preserving cover of compact, closed sets, then $X$ is metacompact. This paper also provides a characterization of those closure-preserving covers of compact sets admitted by $\sigma$-compact spaces.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 523-529
- MSC: Primary 54D20
- DOI: https://doi.org/10.1090/S0002-9939-1975-0388337-1
- MathSciNet review: 0388337