Topological Games and Alster Spaces

Autor(es)

Aurichi, Leandro F. ^[1] ; Dias, Rodrigo R. ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES; v. 57, n. 4, p. 683-696, DEC 2014.
• Citações Web of Science: 3

Resumo

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)

• Processo FAPESP: 10/16939-6 - Propriedades de recobrimento, refinamentos e jogos topológicos
• Beneficiário: Leandro Fiorini Aurichi
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 12/09214-0 - Jogos topológicos e aplicações em Topologia Geral
• Beneficiário: Rodrigo Roque Dias
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado