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On the fixed points in an ω -limit set

Jack G. Ceder — 1992

Mathematica Bohemica

Let M and K be closed subsets of [0,1] with K a subset of the limit points of M . Necessary and sufficient conditions are found for the existence of a continuous function f : [ 0 , 1 ] [ 0 , 1 ] such that M is an ω -limit set for f and K is the set of fixed points of f in M .

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