The amalgamation property for $G$-metric spaces
نویسندگان
چکیده
منابع مشابه
The Amalgamation Property for G-metric Spaces
Let G be a (totally) ordered (abelian) group. A Gmetric space (X, p) consists of a nonempty set A"and a G-metric />: XxX->-G (satisfying the usual axioms of a metric, with G replacing the ordered group of real numbers). That the amalgamation property holds for the class of all metric spaces is attributed, by Morley and Vaught, to Sierpiñski. The following theorem is proved. Theorem. The class o...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1973
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-1973-0314008-1