Genus (topology)/Definition: Difference between revisions

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The number of [[hole (topology)|holes]] or [[handle (topology)|handles]] in a surface; a [[Betti number]].
A number derived from the [[Euler characteristic]] of a [[surface]], equal to the number of "holes" or "handles"; a [[Betti number]].

Revision as of 13:10, 8 February 2010

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Genus (topology) [r]: A number derived from the Euler characteristic of a surface, equal to the number of "holes" or "handles"; a Betti number.