Reflection of cardinal functions / Reflexão de funções cardinais
AUTOR(ES)
Alberto Marcelino Efigênio Levi
FONTE
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia
DATA DE PUBLICAÇÃO
15/06/2012
RESUMO
This work investigates problems about reflection of cardinal functions, using techniques such as elementary submodels and PCF Theory. We show that the Lindelöf degree reflects all the strongly inaccessible cardinals and that a example of a space in which the same cardinal function does not reflect a weakly inaccessible cardinal requires \"0# exists\". Furthermore, we extend a result of reflection of the character from Lindelöf spaces to linearly Lindelöf spaces, obtaining new equivalences with the Continuum Hypothesis (CH). We also obtained several partial answers to classic problems of this research topic.
ASSUNTO(S)
funções cardinais cardinal functions continuum hypothesis grandes cardinais hipótese do contínuo large cardinals
