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.
Topologically Transitive
See also
ChaosExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Topologically Transitive." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TopologicallyTransitive.html