| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05315970 Sao Paulo - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES; v. 57, n. 4, p. 683-696, DEC 2014. |
| Web of Science Citations: | 3 |
| Abstract | |
In this paper we study connections between topological games such as Rothberger, Menger, and compact-open games, and we relate these games to properties involving covers by G(delta) subsets. The results include the following: (1) If TWO has a winning strategy in the Menger game on a regular space X, then X is an Alster space. (2) If TWO has a winning strategy in the Rothberger game on a topological space X, then the G(delta)-topology on X is Lindelof. (3) The Menger game and the compact-open game are (consistently) not dual. (AU) | |
| FAPESP's process: | 10/16939-6 - Covering properties, refinements and topological games |
| Grantee: | Leandro Fiorini Aurichi |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/09214-0 - Topological games and applications in General Topology |
| Grantee: | Rodrigo Roque Dias |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |