nLab
genus of a surface

Contents

Idea

The genus of a surface is an integer that helps classify the surface’s homeomorphism class. It gives the number of handles or ‘cross caps’ that are in a sum decomposition of the surface.

References

Various approaches to the classification of surfaces are described in introductory texts such as

Revised on April 5, 2014 21:47:32 by Toby Bartels (98.16.181.249)