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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:canBe
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gptkb:Riemannian_manifold
Complex manifold
Smooth manifold
Topological manifold
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gptkbp:defines
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A topological space that locally resembles Euclidean space near each point
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gptkbp:dimensions
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A non-negative integer indicating the number of coordinates needed to specify a point
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gptkbp:example
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gptkb:Euclidean_space
gptkb:Circle
gptkb:Sphere
gptkb:Torus
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gptkbp:field
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gptkb:Mathematics
gptkb:Topology
gptkb:Differential_geometry
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gptkbp:hasApplication
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gptkb:quantum_field_theory
gptkb:Algebraic_geometry
gptkb:string_theory
gptkb:Control_theory
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gptkbp:hasProperty
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gptkb:Hausdorff
Locally Euclidean
Second-countable
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https://www.w3.org/2000/01/rdf-schema#label
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Manifold
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gptkbp:relatedConcept
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gptkb:Titan
gptkb:Boundary
gptkb:Tangent_space
gptkb:Lie_group
gptkb:Chart
gptkb:Cohomology
Homology
Immersion
Connectedness
Fiber bundle
Compactness
Coordinate system
Covering space
Differentiable structure
Embedding
Homotopy
Manifold learning
Manifold with boundary
Metric tensor
Orientability
Submanifold
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gptkbp:studiedBy
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Mathematicians
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gptkbp:usedIn
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gptkb:Computer_graphics
gptkb:Physics
gptkb:robot
gptkb:General_relativity
Engineering
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gptkbp:bfsParent
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gptkb:algebraic_geometry
gptkb:surface
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gptkbp:bfsLayer
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5
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