• JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
  • JoomlaWorks Simple Image Rotator
 
  Bookmark and Share
 
 
Master's Dissertation
DOI
10.11606/D.45.2008.tde-10092008-152311
Document
Author
Full name
Rodrigo Roque Dias
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2008
Supervisor
Committee
Junqueira, Lucia Renato (President)
Alas, Ofelia Teresa
Passos, Marcelo Dias
Title in Portuguese
Reflexão de funções cardinais e da metrizabilidade
Keywords in Portuguese
bases pontualmente enumeráveis
espaços coletivamente de Hausdorff
funções cardinais
metrizabilidade
reflexão
Abstract in Portuguese
O conceito de reflexão em topologia expressa o fato de que um espaço satisfaz uma dada propriedade sempre que esta é satisfeita por seus subespaços "menores". Neste trabalho, estuda-se a reflexão de propriedades envolvendo a maioria das principais funções cardinais e metrizabilidade, bem como outras propriedades relacionadas. São discutidos problemas em aberto -- como o problema de Hamburger --, incluindo respostas parciais e exemplos de consistência. Várias dentre as demonstrações apresentadas utilizam técnicas de submodelos elementares, que constituem hoje uma importante ferramenta no estudo de topologia geral.
Title in English
Reflection of cardinal functions and of metrizability
Keywords in English
cardinal functions
collectionwise Hausdorff spaces
metrizability
point-countable bases
reflection
Abstract in English
The concept of reflection in topology expresses the fact that a space satisfies a given property provided that its "small" subspaces do. This work presents a study on reflection of properties concerning most of the main cardinal functions and metrizability, as well as other related properties. Open problems --such as Hamburger's question-- are also discussed, including partial answers and consistent examples. Several of the proofs presented here make use of elementary submodels, nowadays an important tool in the study of general topology.
 
WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.
final.pdf (841.52 Kbytes)
Publishing Date
2008-10-01
 
WARNING: Learn what derived works are clicking here.
All rights of the thesis/dissertation are from the authors
Centro de Informática de São Carlos
Digital Library of Theses and Dissertations of USP. Copyright © 2001-2020. All rights reserved.