Characterizations of Strongly Paracompact Spaces

Xin Zhang

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-5

Abstract:

Characterizations of strongly compact spaces are given based on the existence of a star-countable open refinement for every increasing open cover. It is proved that a countably paracompact normal space (a perfectly normal space or a monotonically normal space) is strongly paracompact if and only if every increasing open cover of the space has a star-countable open refinement. Moreover, it is shown that a space is linearly provided that every increasing open cover of the space has a point-countable open refinement.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:916765

DOI: 10.1155/2012/916765

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