Paracompactness of spaces which have covering properties weaker than paracompactness
TOPOLOGY AND ITS APPLICATIONS, cilt.114, sa.1, ss.67-72, 2001 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 114 Sayı: 1
- Basım Tarihi: 2001
- Doi Numarası: 10.1016/s0166-8641(00)00028-6
- Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.67-72
- Orta Doğu Teknik Üniversitesi Adresli: Hayır
Özet
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.