Doctoral Thesis
DOI
https://doi.org/10.11606/T.45.2002.tde-20210729-125752
Document
Author
Full name
Antonio de Padua Franco Filho
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2001
Supervisor
Title in Portuguese
Espaços regulares com topologias extremas
Keywords in Portuguese
Cardinais Como Invariantes Topológicos
Espaços Topológicos
Espaços Topológicos
Abstract in Portuguese
Vamos mostrar que o pequeno número cardinal i=min{/A/ : A é uma família independente} tem a seguinte caracterização topológica i=min{k menor ou igual c : {0, 1}k tem um subespaço denso enumerável e irresolúvel}, onde {0, 1}k denota o cubo de Cantor de peso k. Como uma consequência deste fato, temos ZFC mais i=c um subespaço denso enumerável submaximal no cubo de Cantor de peso c. Vamos mostrar que o mesmo fato vale em um modelo de ZFC mais i = N1 menor que c
Title in English
not available
Abstract in English
not available
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Publishing Date
2021-07-29
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