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Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.2017.tde-06012017-085337
Document
Author
Full name
Dione Andrade Lara
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2016
Supervisor
Committee
Aurichi, Leandro Fiorini (President)
Jordão, Thaís
Junqueira, Lucia Renato
Kaufmann, Pedro Levit
Title in Portuguese
Jogos topológicos e metrizabilidade
Keywords in Portuguese
Espaços métricos
Jogos topológicos
Teoria de conjuntos
Topologia.
Abstract in Portuguese
Neste trabalho apresentaremos o princípio seletivo S1(O;H ) que caracteriza a propriedade da diagonal Gd . Iremos também apresentar um jogo topológico G1(O;H ) induzido por esse princípio seletivo e estudaremos as relações entre esse jogo e a propriedade da diagonal Gd . Além disso, apresentaremos outros jogos topológicos e mostraremos quais são as relações destes com o jogo G1(O;H ). Finalmente, daremos algumas aplicações desses jogos e exemplos
Title in English
Topological game and metrizibility
Keywords in English
Metric spaces
Set theory
Topological games
Topology
Abstract in English
In this work we present a selection principle S1(O;H) that characterizes the Gd -diagonal property. We also present a topological game G1(O;H ) induced by this selection principle and we study the relations between this game and the Gd -diagonal property. Besides that, we present other topological games and we show which are the relations between those topological games and the game G1(O;H ). Finally, we give some applications and examples.
 
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Publishing Date
2017-01-06
 
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