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