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Título:
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Multifibrations. A class of shape fibrations with the path lifting property
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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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Mathematical Institute of the Academy of Sciences of the Czech Republic, 2001
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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/openAccess
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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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In this paper we introduce a class of maps possessing a multivalued homotopy lifting property with respect to every topological space. We call these maps multifibrations and they represent a formally stronger concept than that of shape fibration. Multifibrations have the interesting property of being characterized in a completely intrinsic. way by a path lifting property involving only the total and the base space of the fibration. We also show that multifibrations land also, with some restrictions, shape fibrations) have a lifting property for homotopies of fine multivalued maps. This implies, when the spaces considered are metric compacta, that the possibility of lifting a fine multivalued map is a property of the corresponding strong shape morphism and not of the particular map considered.
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En línea:
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https://eprints.ucm.es/id/eprint/16878/1/RodSanjurjo15.pdf
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