منابع مشابه
Some remarks about metric spaces
Of course various kinds of metric spaces arise in various contexts and are viewed in various ways. In this brief survey we hope to give some modest indications of this. In particular, we shall try to describe some basic examples which can be of interest. For the record, by a metric space we mean a nonempty set M together with a distance function d(x, y), which is a real-valued function on M ×M ...
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and when this happens we say that d(x, y) is an ultrametric. One can check that an ultrametric space is totally disconnected, which is to say that it does not contain a connected subset with more than two elements. Let us say that a subset E of a metric space (M, d(x, y)) is chain connected if for every pair of points u, v ∈ E and every ǫ > 0 there is a finite chain w1, . . . , wl of points in ...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2020
ISSN: 2227-7390
DOI: 10.3390/math8122123