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Concept information

... > topology > algebraic topology > manifold > differentiable manifold > Lie group > homogeneous space > sphere
... > geometry > topological space > manifold > differentiable manifold > Lie group > homogeneous space > sphere
... > geometry > differential geometry > differentiable manifold > Lie group > homogeneous space > sphere
... > topology > differential topology > differentiable manifold > Lie group > homogeneous space > sphere
... > algebra > group theory > topological group > Lie group > homogeneous space > sphere
algebra > abstract algebra > algebraic structure > homogeneous space > sphere
geometry > geometric figure > quadric > ellipsoid > sphere
geometry > convex analysis > ellipsoid > sphere

Preferred term

sphere  

Definition(s)

  • A sphere (from Ancient Greek σφαῖρα (sphaîra) 'globe, ball') is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. Formally, a sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the centre of the sphere, and r is the sphere's radius. The earliest known mentions of spheres appear in the work of the ancient Greek mathematicians.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Sphere)

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http://data.loterre.fr/ark:/67375/PSR-SKWG4H6X-1

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