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|Type:||Artigo de periódico|
|Title:||THIN-VERY TALL COMPACT SCATTERED SPACES WHICH ARE HEREDITARILY SEPARABLE|
|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.|
|Editor:||Amer Mathematical Soc|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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