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Master's Dissertation
DOI
10.11606/D.45.2014.tde-27012015-185233
Document
Author
Full name
André Ottenbreit Maschio Rodrigues
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2014
Supervisor
Committee
Junqueira, Lucia Renato (President)
Aurichi, Leandro Fiorini
Silva, Samuel Gomes da
Title in Portuguese
Produtos caixa
Keywords in Portuguese
espaço de Dowker
espaços C-discretos
paracompacidade
pequenos cardinais
produto caixa
Abstract in Portuguese
Este trabalho tem como objetivo apresentar uma coletânea de resultados sobre produtos caixa de espaços topológicos. Com o intuito de comparação com o produto de Tychonoff, apresentamos propriedades do produto caixa relacionadas a espaços discretamente gerados e ao espaço C(X). Em seguida apresentamos alguns resultados relativos ao problema da paracompacidade de produtos caixa, o qual é a principal questão envolvendo este tipo de pro- duto. Por fim, utilizamos o produto caixa para construir dois exemplos de espaços normais cujos produtos não são normais.
Title in English
Box products
Keywords in English
box product
C-discrete spaces
Dowker space
paracompactness
small cardinals
Abstract in English
The aim of this work is to present a selection of results about box products of topological spaces. In order to compare this product with the Tychonoff product, we present properties of the box products related to discretely generated spaces and to the space C(X). Then we present results on the problem of paracompactness of the box products, wich is the main question regarding this kind of product. At last, we use the box products to create examples of normal spaces whose products are not normal.
 
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Publishing Date
2015-01-28
 
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