Resolvable and irresolvable topological spaces / Resolubilidade e irresolubilidade de espaços topológicos

AUTOR(ES)

Ana Carolina Boero

DATA DE PUBLICAÇÃO

2007

RESUMO

The main purpose of this work is to study the theory of resolvable and irresolvable topological spaces. We shall introduce many properties of these spaces and we shall give special attention to some techniques used in the construction of irresolvable topological spaces without isolated points. Given a cardinal \kappa >1, we will present some examples of topological spaces which are \kappa-resolvable, but not \kappa^{+}-resolvable. Besides, we will show that if a topological space is n-resolvable, for every natural number n >1, then it is \omega-resolvable too. Nevertheless, we shall prove that if \lambda is a cardinal with \omega

ASSUNTO(S)

maximal resolúvel submaximal maximal submaximal resolvable irresolúvel topological space espaço d-forçado d-forced space irresolvable

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