Abstract
Throughout this paper, a space means a T1-space. A space is called fully normal if every open covering of it has a Δ-refinement , that is, an open covering for which the stars (x, ) form a covering which refines . A space is called paracompact if every open covering of it has a locally finite (= neighborhood finite) open covering which refines . It is well known that paracompactness is identical with full normality in a Hausdorff space ([3], [7]).
Publisher
Cambridge University Press (CUP)
Reference7 articles.
1. Sur un problème de M. Dieudonné;Cohen;C. R. Acd. Sci. Paris,1952
2. Une généralisation des espaces compacts;Dieudonné;J. Math. Pures Appl,1944
3. On Countably Paracompact Spaces
4. Metrization of Topological Spaces
5. Algebraic Topology
Cited by
24 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Locally compact, monotonically normal Dowker space in ZF+AD;Topology and its Applications;2023-04
2. Paracompact in ZFC; CWN screenable Dowker in ZF+AD;Topology and its Applications;2022-05
3. Covering Properties;Recent Progress in General Topology III;2013-12-12
4. Weak separation axioms and weak covering properties;Topology and its Applications;2011-09
5. Normal covers of various products;Topology and its Applications;2010-06