A metrical property of point-set transformations
نویسندگان
چکیده
منابع مشابه
A Metrical Property of Point - Set Transformations
I t is the purpose of this note to prove a theorem concerning distances between points of a metric spacej under transformations of the space into itself. The distance between two points p and q of a metric space is denoted by d(p, q). The point into which a point p is taken by n applications of a transformation T is denoted by pn, that is, T takes p to pi, pi to p2, and so on. If d(p, q) is les...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1934
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1934-05929-9