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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2023.tde-17012024-171701
Document
Author
Full name
Walter Angelo Rojas Gutierrez
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2023
Supervisor
Committee
Aurichi, Leandro Fiorini (President)
Dias, Rodrigo Roque
Grulha Junior, Nivaldo de Góes
Junqueira, Lucia Renato
Title in English
Some applications of Topological Games
Keywords in English
Cech complete space
Cech game
Choquet game
Sieve game
Abstract in English
In this paper, we will look at some topological games, from well-known ones like Banachs game or Choquets game, to defining a new one, Cechs game. Most of the games presented here were chosen for their complete or partial relationship with Cechs game. Since the latter will be especially important to facilitate some classical proofs as well as to present new properties of some topological spaces.
Title in Portuguese
Algumas aplicações dos Jogos Topológicos
Keywords in Portuguese
Espaço Cech-completo
Jogo do Cech
Jogo do Choquet
Jogo do Sieve
Abstract in Portuguese
Neste artigo, analisaremos alguns jogos topológicos, desde jogos conhecidos como o jogo de Banach ou o jogo de Choquet, até à definição de um novo, O jogo de Cech. A maioria dos jogos aqui apresentados foram escolhidos pela sua relação total ou parcial com o jogo de Cech. Uma vez que este último será especialmente importante para facilitar algumas provas clássicas, bem como para apresentar novas propriedades de alguns espaços topológicos.
 
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Publishing Date
2024-01-17
 
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