What is it about?
The clp-paracompact spaces were defined and studied by A. Sondore. These spaces are those such that each clopen cover of them has a locally finite clopen refinement. Then, these spaces are related to ultraparacompact and to clp-compact spaces.
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Why is it important?
In this paper, we obtain a theorem showing that every clp-paracompact Hausdorff space is the image of a clp-paracompact zero-dimensional Hausdorff space for a clopen continuous map with clp-compact fibers.
Perspectives
In his paper we show as some property of topological spaces can be applied to fuzzy topology.
Francisco Gallego Lupianez
University Complutense
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This page is a summary of: On clp-paracompact spaces, Publicationes Mathematicae Debrecen, April 2020, University of Debrecen/ Debreceni Egyetem,
DOI: 10.5486/pmd.2020.8829.
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