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Título:
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On ?-independence and the Kunen-Shelah property
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Autores:
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Jiménez Sevilla, María del Mar ;
Granero, A. S. ;
Moreno, José Pedro
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Tipo de documento:
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texto impreso
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Editorial:
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Cambridge Univ Press, 2002-06
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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: Topología
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Tipo = Artículo
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Resumen:
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We prove that spaces with an uncountable omega-independent family fail the Kunen-Shelah property. Actually, if {x(i)}(iis an element ofI) is an uncountable w-independent family, there exists an uncountable subset J.C I such that x(j) is not an element of (conv) over bar({x(i)}(iis an element ofj/{j}) for every j is an element of J. This improves a previous result due to Sersouri, namely that every uncountable omega-independent family contains a convex right-separated subfamily.
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En línea:
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https://eprints.ucm.es/id/eprint/16386/1/Jimenez09.pdf
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