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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:borders
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may have boundary
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gptkbp:compact
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can be compact or non-compact
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gptkbp:curvature
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constant negative curvature
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gptkbp:dimensions
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can be any dimension
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gptkbp:example
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gptkb:Gieseking_manifold
gptkb:Seifert–Weber_space
gptkb:figure-eight_knot_complement
Weeks manifold
hyperbolic 3-manifold
hyperbolic surface
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gptkbp:field
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gptkb:topology
differential geometry
geometric group theory
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gptkbp:fundamentalGroup
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discrete subgroup of isometries of hyperbolic space
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https://www.w3.org/2000/01/rdf-schema#label
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hyperbolic manifolds
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gptkbp:importantFor
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3-manifold theory
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gptkbp:modelled_on
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hyperbolic space
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gptkbp:relatedTo
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gptkb:Poincaré_conjecture
gptkb:Teichmüller_theory
gptkb:Fuchsian_groups
gptkb:Mostow_rigidity_theorem
gptkb:Thurston's_geometrization_conjecture
Kleinian groups
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gptkbp:studiedBy
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gptkb:William_Thurston
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gptkbp:universalCover
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hyperbolic space
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gptkbp:used_in
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gptkb:cosmology
gptkb:quantum_topology
mathematical physics
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gptkbp:volume
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finite or infinite
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gptkbp:bfsParent
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gptkb:hyperbolic_geometry
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gptkbp:bfsLayer
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5
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