Uniform type structures
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: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Instituto Politécnico do Cávado e do Ave
2005
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| Online Access: | http://scielo.pt/scielo.php?script=sci_arttext&pid=S1645-99112005000200010 |
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