The relation between CD omega (X)-space and Whyburn unified space


Ercan Z., Onal S.

MATHEMATISCHE NACHRICHTEN, vol.279, no.15, pp.1664-1668, 2006 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 279 Issue: 15
  • Publication Date: 2006
  • Doi Number: 10.1002/mana.200410444
  • Journal Name: MATHEMATISCHE NACHRICHTEN
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1664-1668

Abstract

We show that a CDw (X)-space is isometrically Riesz isomorphic to C(W) for some Whyburn unified space W with its concrete description. We apply this to prove a Banach-Stone type theorem. This generalizes one of the main result in [2]. (c) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.