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Generalized Alexandroff Duplicates and CD 0(K) spaces
Authors:Mert Çaglar  Zafer Ercan  Faruk Polat
Affiliation:(1) Department of Mathematics, MiddleEast Technical University, 06531 Ankara, Turkey
Abstract:We define and investigateCD Σ,Γ(K, E)-type spaces, which generalizeCD 0-type Banach lattices introduced in [1]. We state that the space CD Σ,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].
Keywords:Alexandroff Duplicate  homeomorphism  Banach lattices  CD0(K, E)-spaces
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