Generalized Alexandroff Duplicates and CD0(K) spaces

Çaglar M., Ercan Z., POLAT F.

Central European Journal of Mathematics, vol.4, no.3, pp.371-375, 2006 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 4 Issue: 3
  • Publication Date: 2006
  • Doi Number: 10.2478/s11533-006-0018-5
  • Journal Name: Central European Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.371-375
  • Keywords: Alexandroff Duplicate, Banach lattices, CD0(K,E)-spaces, Homeomorphism
  • Istanbul Kültür University Affiliated: Yes

Abstract

We define and investigate CDΣ,Γ(K, E)-type spaces, which generalizeCD0-type Banach lattices introduced in [1]. We state that the space CDΣ,Γ(K, E) can be represented as the space of E-valued continuous functions on the generalized Alexandroff Duplicate of K. As a corollary we obtain the main result of [6, 8]. © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2006.