Publication: A topology for the sets of shape morphisms
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Publication Date
1999-06-09
Authors
Cuchillo Ibáñez, Eduardo
Morón, Manuel A.
Romero Ruiz del Portal, Francisco
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Elsevier Science
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Abstract
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.
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