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genus of a surface - an obscure idea that need not distract us from Genus and Species
Topology also has a specific mathematical definition as a collection of open sets in a [[topological space]].
Topology also has a specific mathematical definition as a collection of open sets in a [[topological space]].
In topology, a ''genus'' of a surface is the greatest number of distinct, continuous closed curves that may be drawn on it without separating the surface into distinct regions. The closed curves cannot be self-intersecting. The genus of the surface of a sphere is 0, while the genus of a doughnut shape is 1.
[[category:mathematics]]
[[category:mathematics]]