Talk:Genus g surface

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Completely wrong
The definition of a surface a genus g is given as follows:

"In mathematics, a genus g surface (also known as a g-torus or g-holed torus) is a surface formed by the connected sum of g distinct tori: the interior of a disk is removed from each of g distinct tori and the boundaries of the g many disks are identified (glued together), forming a g-torus. The genus of such a surface is g."

This is almost 100% wrong after the colon (":").