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Finite-to-One Factor

A Map $\psi:M\to M$, where $M$ is a Manifold, is a finite-to-one factor of a Map $\Psi:X\to X$ if there exists a continuous Onto Map $\pi:X\to M$ such that $\psi\circ\pi =\pi\circ\Psi$ and $\pi^{-1}(x)\subset X$ is finite for each $x\in M$.




© 1996-9 Eric W. Weisstein
1999-05-26