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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.1998.tde-20210729-020410
Document
Author
Full name
Samuel Gomes da Silva
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1998
Supervisor
Title in Portuguese
Uma introdução aos pequenos cardinais e às suas aplicações em topologia
Keywords in Portuguese
Topologia
Abstract in Portuguese
Este trabalho estuda, do ponto de vista conjuntístico e topológico, alguns dos chamados pequenos cardinais. Definimos seis desses cardinais ('a,b,d,p,s' e 't') e apresentamos alguns resultados válidos em ZFC a respeito deles, resultados (eproblemas abertos) de consistência e independência são comentados. Elementos básicos da teoria de gaps são revisitados. Finalmente, algumas aplicações dos nossos pequenos cardinais à Topologia (com destaque para a influência desses cardinais naexistência - ou não- de espaços topológicos que satifaçam determinadas propriedades) são detalhadamente expostas
Title in English
not available
Abstract in English
This work studies some of the called small cardinals by a set-theoretical and topological view. We define six of these cardinals ('a,b,d,p,s' e 't') and also present some ZFC results about them. Some consistency and independence results as wellas open problems are commented. Basic elements of gap theory are revisited. Finally, some applications of our small cardinals in Topology (pointing out the influence of such cardinals on the existence of topological spaces which satisfy someproprties) are exposed with details
 
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Publishing Date
2021-07-29
 
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