Nonstandard methods of completing quasi-uniform spaces
نویسندگان
چکیده
منابع مشابه
On uniform spaces with invariant nonstandard hulls
Let 〈X,Γ〉 be a uniform space with its uniformity generated by a set of pseudo-metrics Γ . Let the symbol “ ' " denote the usual infinitesimal relation on ∗X , and define a new infinitesimal relation “ ≈ " by writing x ≈ y whenever ∗ρ(x, p) ' ∗ρ(y, p) for each ρ ∈ Γ and each p ∈ X . Let us call a uniform space 〈X,Γ〉 an S-space if the relations ' and ≈ coincide on fin(∗X). In [14], we showed that...
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Let (X,Γ) be a uniform space with its uniformity generated by a set of pseudo-metrics Γ. Let the symbol “ ' ” denote the usual infinitesimal relation on ∗X, and define a new infinitesimal relation “ ≈ ” on ∗X by writing x ≈ y whenever ∗ρ(x, p) ' ∗ρ(y, p) for each ρ ∈ Γ and each p ∈ X. We call (X,Γ) an S-space if the relations ' and ≈ coincide on fin(∗X). S-spaces are interesting because their n...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1995
ISSN: 0166-8641
DOI: 10.1016/0166-8641(94)00052-5