Topologically Transitive

A function f is topologically transitive if, given any two intervals U and V, there is some positive integer k such that f^k(U) intersection V!=emptyset. Vaguely, this means that neighborhoods of points eventually get flung out to "big" sets so that they don't necessarily stick together in one localized clump.

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Cite this as:

Weisstein, Eric W. "Topologically Transitive." From MathWorld--A Wolfram Web Resource.

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