| Full text | |
| Author(s): |
Spadaro, Santi
Total Authors: 1
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| Document type: | Journal article |
| Source: | FUNDAMENTA MATHEMATICAE; v. 234, n. 3, p. 229-239, 2016. |
| Web of Science Citations: | 2 |
| Abstract | |
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) | |
| FAPESP's process: | 13/14640-1 - Discrete sets and cardinal invariants in set-theoretic topology |
| Grantee: | Santi Domenico Spadaro |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |