Homeomorphic Type

The following three pieces of information completely determine the homeomorphic type of a surface (Massey 1996):

1. Orientability,

2. Number of boundary components,

3. Euler characteristic.

See also

Algebraic Topology, Euler Characteristic

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References

Massey, W. S. Algebraic Topology: An Introduction. New York: Springer-Verlag, 1996.

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Homeomorphic Type

Cite this as:

Weisstein, Eric W. "Homeomorphic Type." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HomeomorphicType.html

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