Pair of pants (mathematics)
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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
This link cobordism between the Hopf link and the unlink is topologically a pair of pants.
Manifold
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In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n -dimensional manifold, or n -manifold for short, is a topological space w
The surface of the Earth requires (at least) two charts to include every point without plotting the same point more than once on the same chart. Here the globe is decomposed into charts around the North and South Poles.