On clp-paracompact spaces
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2020
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Institute of Mathematics, University of Debrecen,
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Lupianez, F.G.: On clp-paracompact spaces. Publ. Math. Debrecen. 96, 513-516 (2020). https://doi.org/10.5486/PMD.2020.8829
Abstract
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. 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.