Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306216
Type: TESE
Title: Tres cardinais invariantes topologicos
Author: Gasparim, Elizabeth Terezinha, 1963-
Advisor: Alas, Ofelia Teresa
Abstract: Resumo: Neste trabalho estudamos os conceitos de tightness, set-tightness e T-tightness. Investigamos o comportamento de tightnes sob as compactificações de Alexandroff e Stone-Cech em alguns exemplos específicos. Calculamos tightness, T-tightness e Set-tightness em alguns espaços prdouto e provamos o seguinte resultado: Se X e Y são espaços topológicos, então: ts(X x Y) min <ts(X) ?(Y), ts(Y) ?(X) >, segue que se X é metrizável ts(X x Y) = ts(Y) para qualquer espaço Y. Mostramos um resultado semelhante em tightness

Abstract: In this work we study the concepts of tightness, set-tightness and T-tightness. We investigate the behavior of tightness under Alexandroff and Stone-Cech compactifications, in some specific examples. We calculate tightness, T-tighness, T-tightness and set-tightness for some product spaces and prove spaces and prove the following result: If X and Y are topological spaces, then ts(X x Y) min <ts(X) ?(Y), ts(Y) ?(X) >, it follows that for a meretrizable space X: ts(X x Y) = ts(Y) for any space Y. An analogous result is showed for tightness
Subject: Números cardinais
Invariantes
Espaços topológicos
Language: Português
Editor: [s.n.]
Date Issue: 1989
Appears in Collections:IMECC - Dissertação e Tese

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