Pair of pants (mathematics)
In mathematics, a pair of pants is a surface which is homeomorphic to the three-holed sphere. The name comes from considering one of the removed disks as the waist and the two others as the cuffs of a pair of pants.
Pair of pants (mathematics) - Wikipedia Jump to content From Wikipedia, the free encyclopedia Three-holed sphere A pair of pants represented in space, with its boundary colored red. In mathematics , a pair of pants is a surface which is homeomorphic to the three-holed sphere . The name comes from considering one of the removed disks as the waist and the two others as the cuffs of a pair of pants . Pairs of pants are used as building blocks for compact surfaces in various theories. Two important applications are to hyperbolic geometry , where decompositions of closed surfaces into pairs of pant
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