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Remarks on set-contractions and condensing maps

✍ Scribed by Richard Leggett


Book ID
105106901
Publisher
Springer-Verlag
Year
1973
Tongue
French
Weight
272 KB
Volume
132
Category
Article
ISSN
0025-5874

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We prove that to every positive integer n there exists a positive integer h such that the following holds: If S is a set of h elements and f a mapping of the pow+:r set 13 of S into b such that f(T) E T for all TE '@, then there exists a strictly increasing sequence TI c ---c T,, oi' subsets of S su