Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/58195
Type: Artigo de periódico
Title: THIN-VERY TALL COMPACT SCATTERED SPACES WHICH ARE HEREDITARILY SEPARABLE
Author: Brech, C
Koszmider, P
Abstract: We strengthen the property Delta of a function f : [omega(2)](2) -> [omega(2)](<=omega) considered by Baumgartner and Shelah. This allows us to consider new types of amalgamations in the forcing used by Rabus, Juhasz and Soukup to construct thin-very tall compact scattered spaces. We consistently obtain spaces K as above where K-n is hereditarily separable for each n is an element of N. This serves as a counterexample concerning cardinal functions on compact spaces as well as having some applications in Banach spaces: the Banach space C(K) is an Asplund space of density N-2 which has no Frechet smooth reforming, nor an uncountable biorthogonal system.
Country: EUA
Editor: Amer Mathematical Soc
Rights: aberto
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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