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2020/96/3-4 (16) — DOI: 10.5486/PMD.2020.8829 — pp. 513-516

On clp-paracompact spaces

Authors: Francisco Gallego Lupiáñez

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.

Keywords: paracompactness, compactness, zero-dimensionality, clp-compactness, clp-paracompactness

Mathematics Subject Classification: 54D20, 54F50