A influência dos subespaços discretos sobre os espaços topológicos

Aurichi, Leandro Fiorini

doi:10.11606/T.45.2009.tde-24092010-150623

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Doctoral Thesis

DOI

https://doi.org/10.11606/T.45.2009.tde-24092010-150623

Document

Doctoral Thesis

Author

Aurichi, Leandro Fiorini (Catálogo USP)

Full name

Leandro Fiorini Aurichi

E-mail

Institute/School/College

Instituto de Matemática e Estatística

Knowledge Area

Mathematics

Date of Defense

2009-06-24

Published

São Paulo, 2009

Supervisor

Junqueira, Lucia Renato (Catálogo USP)

Committee

Junqueira, Lucia Renato (President)
Alas, Ofelia Teresa
Carnielli, Walter Alexandre
Passos, Marcelo Dias
Silva, Samuel Gomes da

Title in Portuguese

A influência dos subespaços discretos sobre os espaços topológicos

Keywords in Portuguese

consistência
discretos
Lindelöf
reflexão

Abstract in Portuguese

São apresentados resultados envolvendo subespaços discretos em diversos tipos de problemas em Topologia Geral. São também apresentadas construções de contraexemplos tanto em ZFC como com axiomas extras.

Title in English

The influence of the discrete subsets over the topological spaces

Keywords in English

consistence
discrete
Lindelöf
reflexive

Abstract in English

It is presented some results involving discrete subspaces in many kind of problems in General Topology. It is also presented some constructions of counterexamples in ZFC and assuming extra axioms.

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Publishing Date

2010-09-29

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