Publication
Uniform type structures
| Summary: | 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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| Main Authors: | Abreu,Teresa |
| Other Authors: | Corbacho,Eusébio |
| Subject: | quasi-uniformity local quasi-uniformity local quasi-uniform space quasi-uniform space uniform space |
| Year: | 2005 |
| Country: | Portugal |
| Document type: | article |
| Access type: | open access |
| Associated institution: | Fundação para a Ciência e Tecnologia |
| Language: | English |
| Origin: | SciELO Portugal |
| Summary: | 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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