Cuchillo Ibáñez, Eduardo and Morón, Manuel A. and Romero Ruiz del Portal, Francisco and Rodríguez Sanjurjo, José Manuel
(1999)
*A topology for the sets of shape morphisms.*
Topology and its Applications, 94
(1-3).
pp. 51-60.
ISSN 0166-8641

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Official URL: http://www.sciencedirect.com/science/article/pii/S0166864198000248

## 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.

Item Type: | Article |
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Uncontrolled Keywords: | Maps; shape morphism; HPol-expansion; N-compactness; space of quasicomponents |

Subjects: | Sciences > Mathematics > Topology |

ID Code: | 15462 |

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Deposited On: | 01 Jun 2012 10:35 |

Last Modified: | 06 Feb 2014 10:25 |

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