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Título:
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Density and finiteness. A discrete approach to shape
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Autores:
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Giraldo, A. ;
Rodríguez Sanjurjo, José Manuel
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science, 1997-03
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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We show in this paper that the category of shape can be modelled in discrete terms using maps defined in dense subsets of compacta. This approach to shape provides in addition a characterization of the shape of compacta which does not require external elements and uses only continuous single-valued functions, in contrast with the existing internal characterizations of shape. As an application, we prove a connection between the notion of shape image, due to Lisica, and the basic notion of omega limit of a dynamical system.
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En línea:
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https://eprints.ucm.es/id/eprint/16962/1/RodSanjurjo21.pdf
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