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A topology for the sets of shape morphisms

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https//doi.org/10.1016/S0166-8641(98)00024-8

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1999

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Elsevier Science
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https://hdl.handle.net/20.500.14352/57310

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Cuchillo Ibáñez, E., Alonso Morón, M., Romero Ruiz Del Portal, F., Rodríguez Sanjurjo, J. M. «A Topology for the Sets of Shape Morphisms». Topology and Its Applications, vol. 94, n.o 1-3, junio de 1999, pp. 51-60. DOI.org (Crossref), https://doi.org/10.1016/S0166-8641(98)00024-8.

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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Topología

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1210 Topología

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