Definition:Genus of Manifold
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Definition
The genus of a compact topological manifold is the number of handles it has.
Examples
Teacup
The surface of a teacup has genus $1$.
Also see
- Results about genera of manifolds can be found here.
Linguistic Note
The plural of genus is genera.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): genus: 1.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): genus: 1.