On clp-paracompact spaces

被引：0

作者：

Gallego Lupianez, Francisco ^{[1
]}

机构：

[1] Univ Complutense, Dept Math, Madrid, Spain

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2020年 / 96卷 / 3-4期

关键词：

paracompactness; compactness; zero-dimensionality; clp-compactness; clp-paracompactness; HAUSDORFF SPACES;

D O I：

10.5486/PMD.2020.8829

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：513 / 516

页数：4