Review of metric spaces
نویسنده
چکیده
which should conform to basic physical intuition about distance. Thus, first, the only point y at distance 0 from a point x is y = x itself. Second, distance does not depend on direction: the distance from x to y is the same as the distance from y to x. Third, thinking that the distance from x to y should correspond to a shortest route of some kind from x to y, the distance from x to y should be at most the sum of distances from x to any other intermediate point z and then from z to y, giving the triangle inequality.
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