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  1. A remark on uniform spaces with invariant nonstandard hulls.Nader Vakil & Roozbeh Vakil - 2005 - Mathematical Logic Quarterly 51 (6):610-612.
    Let 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 ≃ *ϱ for each ϱ ∈ Γ and each p ∈ X . We call an S-space if the relations ≃ and ≈ coincide on fin. S -spaces are interesting because their nonstandard hulls have representations within Nelson's (...)
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