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A topological space is strongly paracompact if and only if for any monotone increasing open cover of it there exists a star-finite open refinement

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Abstract

We get the following result. A topological space is strongly paracompact if and only if for any monotone increasing open cover of it there exists a star-finite open refinement. We positively answer a question of the strongly paracompact property.

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Authors and Affiliations

  1. Department of Applied mathematics and Physics, Xi’an Institute of Post and Telecommunications, 710121, Xi’an, China

    Qu Han-Zhang

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  1. Qu Han-Zhang
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Correspondence to Qu Han-Zhang.

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Han-Zhang, Q. A topological space is strongly paracompact if and only if for any monotone increasing open cover of it there exists a star-finite open refinement. Czech Math J 58, 487–491 (2008). https://doi.org/10.1007/s10587-008-0030-y

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  • DOI: https://doi.org/10.1007/s10587-008-0030-y

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