Paracompactness of spaces which have covering properties weaker than paracompactness
TOPOLOGY AND ITS APPLICATIONS, vol.114, no.1, pp.67-72, 2001 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 114 Issue: 1
- Publication Date: 2001
- Doi Number: 10.1016/s0166-8641(00)00028-6
- Journal Name: TOPOLOGY AND ITS APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.67-72
- Middle East Technical University Affiliated: No
Abstract
We prove that (i) a collectionwise normal, orthocompact, theta (m)-refinable, [m, N-0]-submetacompact space is paracompact, (ii) a collectionwise normal, [infinity, m]-paracompact [m, N-0]-submetacompact space is paracompact. This gives a sufficient condition for the paracompactness of para-Lindelof, collectionwise normal spaces. (C) 2001 Elsevier Science B.V. All rights reserved.