| Texto completo | |
| Autor(es): |
Spadaro, Santi
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | FUNDAMENTA MATHEMATICAE; v. 234, n. 3, p. 229-239, 2016. |
| Citações Web of Science: | 2 |
| Resumo | |
We apply the theory of infinite two-person games to two well-known problems in topology: Suslin's Problem and Arhangel'skii's problem on the weak Lindelof number of the G(delta) topology on a compact space. More specifically, we prove results of which the following two are special cases: 1) every linearly ordered topological space satisfying the game-theoretic version of the countable chain condition is separable, and 2) in every compact space satisfying the game-theoretic version of the weak Lindelof property, every cover by G(delta) sets has a continuum-sized subcollection whose union is G(delta)-dense. (AU) | |
| Processo FAPESP: | 13/14640-1 - Conjuntos discretos e invariantes cardinais em topologia conjuntista |
| Beneficiário: | Santi Domenico Spadaro |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |