A function is topologically transitive if, given any two intervals and , there is some positive integer such that . 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. https://mathworld.wolfram.com/TopologicallyTransitive.html