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Topologically Conjugate


Two maps phi,psi:M->M are said to be topologically conjugate if there exists a homeomorphism h:M->M such that phi degreesh=h degreespsi, i.e., h maps psi-orbits onto phi-orbits. Two maps which are topologically conjugate cannot be distinguished topologically.


See also

Anosov Diffeomorphism, Structurally Stable

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Cite this as:

Weisstein, Eric W. "Topologically Conjugate." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TopologicallyConjugate.html

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