Properties involving discrete subspaces and special types of pseudocompactness
Immersions and isomorphisms between spaces of continuous functions
Applications of infinitary combinatorics in Banach Spaces of the forms $C(K)$, $C(...
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| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, Inst Math Stat & Sci Comp, BR-13083970 Campinas, SP - Brazil
[2] Tech Univ Lodz, Inst Matemat, PL-90924 Lodz - Poland
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 363, n. 1, p. 501-519, JAN 2011. |
| Web of Science Citations: | 5 |
| 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. (AU) | |
| FAPESP's process: | 06/02378-7 - Infinite Dimensional Analysis |
| Grantee: | Jorge Tulio Mujica Ascui |
| Support Opportunities: | Research Projects - Thematic Grants |