Bases in Vector Spaces and the Axiom of Choice
نویسندگان
چکیده
منابع مشابه
Metric spaces and the axiom of choice
We shall start with some definitions from topology. First of all, a metric space is a topological space whose topology is determined by a metric. A metric on a topological space X is a function d from X × X to R , the reals, which has the following properties: For all x, y, z ∈ X , (a) d(x, y) ≥ 0, (b) d(x, x) = 0, (c) if d(x, y) = 0, then x = y, (d) d(x, y) = d(y, x), and (e) d(x, y) + d(y, z)...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1966
ISSN: 0002-9939
DOI: 10.2307/2035388