Ordinary Surface

A surface which is homeomorphic to a finite collection of spheres, each with a finite number of handles, cross-handles, cross-caps, and perforations. A preliminary version of the classification theorem of surfaces states that every surface is ordinary.

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Francis, G. K. and Weeks, J. R. "Conway's ZIP Proof." Amer. Math. Monthly 106, 393-399, 1999.

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Ordinary Surface

Cite this as:

Weisstein, Eric W. "Ordinary Surface." From MathWorld--A Wolfram Web Resource.

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