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Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.2023.tde-20042023-085814
Document
Author
Full name
Juan Francisco Camasca Fernández
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2023
Supervisor
Committee
Aurichi, Leandro Fiorini (President)
Ferreira, Carlos Henrique Grossi
Junqueira, Lucia Renato
Silva, Samuel Gomes da
Title in Portuguese
Variações em principios seletivos e jogos topologicos de seleção
Keywords in Portuguese
espaço de funções
jogos topológicos de seleção
Princípios seletivos
topologia, coberturas abertas.
Abstract in Portuguese
Neste trabalho, estudamos a relação entre diferentes variações de princípios de seleção e jogos topológicos de seleção. Particularmente, estudamos o caso de princípios de seleção e jogos topológicos quando consideramos o caso da classe de subconjuntos densos de um espaço topológico, e obtemos um resultado de equivalência no caso do espaço de funções contínuas com a topologia compacta-aberta. Além disso, incluímos uma tradução de alguns resultados com diferentes famílias densas, e incluímos um pouco a repeito de princípios seletivos estrela e da propriedade seletivamente c.c.c.
Title in English
Variations in selection principles and selective topological games
Keywords in English
function spaces
open covers.
selection principles
selective topological games
topology
Abstract in English
In this work, we study the relation of different variations of selection principles and selective topological games. In particular, we study the case of selection principles and selective topological games when we consider the case of a class of dense subsets of a topological space, and we obtain a result of equivalence in the case of the space of continuous functions with the compact-open topology. Furthermore, we include a translation of some results with different dense families, and we include a little of selection star principles and selectively c.c.c property
 
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Publishing Date
2023-05-11
 
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