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- Hyperbolic_space abstract "In mathematics, hyperbolic space is a homogeneous space that can be characterized by a constant negative curvature. It is the model of hyperbolic geometry. It is possible in dimensions 2 or higher, and is distinguished from Euclidean spaces with zero curvature that define the Euclidean geometry, and models of elliptic geometry that have a constant positive curvature. When embedded to a Euclidean space (of a higher dimension), every point of a hyperbolic space is a saddle point. Another distinctive property is the amount of space covered by the n-ball in hyperbolic n-space: it increases exponentially with respect to the radius of the ball, rather than polynomially.".
- Hyperbolic_space thumbnail Hyperbolic_orthogonal_dodecahedral_honeycomb.png?width=300.
- Hyperbolic_space wikiPageExternalLink 0903.3287.
- Hyperbolic_space wikiPageID "318742".
- Hyperbolic_space wikiPageRevisionID "601770333".
- Hyperbolic_space hasPhotoCollection Hyperbolic_space.
- Hyperbolic_space subject Category:Homogeneous_spaces.
- Hyperbolic_space subject Category:Hyperbolic_geometry.
- Hyperbolic_space subject Category:Topological_spaces.
- Hyperbolic_space type Abstraction100002137.
- Hyperbolic_space type Attribute100024264.
- Hyperbolic_space type HomogeneousSpaces.
- Hyperbolic_space type MathematicalSpace108001685.
- Hyperbolic_space type Set107999699.
- Hyperbolic_space type Space100028651.
- Hyperbolic_space type TopologicalSpaces.
- Hyperbolic_space comment "In mathematics, hyperbolic space is a homogeneous space that can be characterized by a constant negative curvature. It is the model of hyperbolic geometry. It is possible in dimensions 2 or higher, and is distinguished from Euclidean spaces with zero curvature that define the Euclidean geometry, and models of elliptic geometry that have a constant positive curvature. When embedded to a Euclidean space (of a higher dimension), every point of a hyperbolic space is a saddle point.".
- Hyperbolic_space label "Hyperbolic space".
- Hyperbolic_space label "Hyperbolische ruimte".
- Hyperbolic_space label "Hyperbolischer Raum".
- Hyperbolic_space label "Spazio iperbolico".
- Hyperbolic_space sameAs Hyperbolischer_Raum.
- Hyperbolic_space sameAs Spazio_iperbolico.
- Hyperbolic_space sameAs Hyperbolische_ruimte.
- Hyperbolic_space sameAs m.01v6xw.
- Hyperbolic_space sameAs Q1878538.
- Hyperbolic_space sameAs Q1878538.
- Hyperbolic_space sameAs Hyperbolic_space.
- Hyperbolic_space wasDerivedFrom Hyperbolic_space?oldid=601770333.
- Hyperbolic_space depiction Hyperbolic_orthogonal_dodecahedral_honeycomb.png.
- Hyperbolic_space isPrimaryTopicOf Hyperbolic_space.
