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Topologically Transitive

A Function $f$ is topologically transitive if, given any two intervals $U$ and $V$, there is some Positive Integer $k$ such that $f^k(U)\cap V=\emptyset$. 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.

See also Chaos

© 1996-9 Eric W. Weisstein