ABREU, Teresa    CORBACHO, Eusébio. Uniform type structures. []. , 4, pp.149-171. ISSN 1645-9911.

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.

: quasi-uniformity; local quasi-uniformity; local quasi-uniform space; quasi-uniform space; uniform space.

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