A topology for the sets of shape morphisms

✍ Scribed by E. Cuchillo-Ibáñez; M.A. Morón; F.R. Ruiz del Portal; J.M.R. Sanjurjo

• Book ID: 104295432
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 92 KB
• Volume: 94
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(98)00024-8

✦ Synopsis

We introduce a topology on the set of shape morphisms between arbitrary topological spaces X, Y , Sh(X, Y ). These spaces allow us to extend, in a natural way, some classical concepts to the realm of topological spaces. Several applications are given to obtain relations between shape theory and N-compactness and shape-theoretic properties of the spaces of quasicomponents.