Paracompactness of spaces which have covering properties weaker than paracompactness


Onal S.

TOPOLOGY AND ITS APPLICATIONS, cilt.114, ss.67-72, 2001 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 114 Konu: 1
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1016/s0166-8641(00)00028-6
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Sayfa Sayısı: ss.67-72

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.