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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.1997.tde-20210729-015213
Document
Author
Full name
Nadéia Aparecida Veloso Pazzoto
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1997
Supervisor
Title in Portuguese
Sobre o espaço topológico Cp(X)
Keywords in Portuguese
Topologia
Abstract in Portuguese
O principal objetivo desta dissertação é estudar o espaço das funções contínuas definidas em um espaço Tychonoff X a valores reais, com as topologias da convergência pontual, uniforme e compacto-aberta. Alguns resultados sobre invariantescardinais topológicos são demonstrados. Relações entre as propriedades de X e 'C IND.P'(X) são estudadas, bem como invariantes topológicos quando 'C IND.P'(X) é uma reunnião enumerável de subespaços (satisfazendo propriedades especiais)
Title in English
not available
Abstract in English
The main purpose of this dissertation is to study some properties of the space of real valued continuous functions on a Tychonoff spaces X - denoted by C(X) - with the topologies of pointwise convergence, uniform convergence and compact-opentopology. Some results on topological cardinal invariants are shown. Relations between the properties of X and 'C IND.P'(X) are studied, as well as topological invariants when 'C IND.P'(X) is a countable union of some of its subspaces(satisfying special properties)
 
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Publishing Date
2021-07-29
 
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