Biblioteca de la Universidad Complutense de Madrid

On ω-independence and the Kunen-Shelah property

Impacto

Jiménez Sevilla, María del Mar y Granero, A. S. y Moreno, José Pedro (2002) On ω-independence and the Kunen-Shelah property. Proceedings of the Edinburgh Mathematical Society, 45 (2). pp. 391-395. ISSN 0013-0915

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Resumen

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.


Tipo de documento:Artículo
Información Adicional:

Supported in part by DGICYT grants PB 97-0240 and BMF2000-0609.

Palabras clave:ω-independence; non-separable Banach spaces; Kunen–Shelah property
Materias:Ciencias > Matemáticas > Topología
Código ID:16386
Referencias:

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A. Sersouri, ω-independence in nonseparable Banach spaces, Contemp. Math. 85 (1989), 509–512.

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Depositado:17 Sep 2012 08:47
Última Modificación:10 Feb 2016 16:03

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