The Banach-Mazur game and products of Baire spaces
In this work we study Baire spaces and analyze the problem of product of Baire spaces. Then we present some conditions using the Banach-Mazur game to show that the Baire product is preserved in the product. Then we analyze the difference of the infinite product of Baire spaces, between the box produ...
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| Formato: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | Brasil |
| Recursos: | Universidade de São Paulo (USP) |
| Repositorio: | Biblioteca Digital de Teses e Dissertações da USP |
| Idioma: | inglés |
| OAI Identifier: | oai:teses.usp.br:tde-10092020-171236 |
| Acesso em linha: | https://www.teses.usp.br/teses/disponiveis/55/55135/tde-10092020-171236/ |
| Access Level: | acceso abierto |
| Palavra-chave: | Baire spaces Banach-Mazur game Espaço de Baire Jogo de Banach-Mazur Jogos topológicos com multiplos tabuleiros Multiboard topological games Product of Baire spaces Produto de espaços de Baire |
| Resumo: | In this work we study Baire spaces and analyze the problem of product of Baire spaces. Then we present some conditions using the Banach-Mazur game to show that the Baire product is preserved in the product. Then we analyze the difference of the infinite product of Baire spaces, between the box product and Tychonoff product. We also present a multiboard version for this problem. Finally we present some open problems regarding the product of Baire spaces. |
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