Publicação
Uniform type structures
| Resumo: | In a non-empty set a filter on consisting of reflexive relations, which satisfies: ∀ χ ε Χ ∀ Q, ∃ P ε Q such that P ° P [χ] ⊂ Q [χ] is called local quasi-uniformity. If we require the symmetry condition then we obtain a local uniformity. These concepts were introduced by Fletcher-Lindegren(1974) and Williams(1972) respectively. We will discuss the possibility of extending the known results about (quasi)-uniform spaces to local (quasi)-uniform spaces. |
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| Autores principais: | Abreu,Teresa |
| Outros Autores: | Corbacho,Eusébio |
| Assunto: | quasi-uniformity local quasi-uniformity local quasi-uniform space quasi-uniform space uniform space |
| Ano: | 2005 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Fundação para a Ciência e Tecnologia |
| Idioma: | inglês |
| Origem: | SciELO Portugal |
| Resumo: | In a non-empty set a filter on consisting of reflexive relations, which satisfies: ∀ χ ε Χ ∀ Q, ∃ P ε Q such that P ° P [χ] ⊂ Q [χ] is called local quasi-uniformity. If we require the symmetry condition then we obtain a local uniformity. These concepts were introduced by Fletcher-Lindegren(1974) and Williams(1972) respectively. We will discuss the possibility of extending the known results about (quasi)-uniform spaces to local (quasi)-uniform spaces. |
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