Two maps 
are said to be topologically conjugate if there
exists a homeomorphism 
such that 
,
i.e., 
maps 
-orbits
onto 
-orbits.
Two maps which are topologically conjugate cannot be distinguished topologically.
Topologically Conjugate
See also
Anosov Diffeomorphism, Structurally StableExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Topologically Conjugate." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TopologicallyConjugate.html