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gptkbp:instanceOf
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gptkb:topology
3-manifold
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gptkbp:class
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classified by p and q up to homeomorphism
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gptkbp:compact
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true
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gptkbp:definedIn
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a quotient of the 3-sphere by a free action of a cyclic group
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gptkbp:dimensions
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3
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gptkbp:example
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L(1,0) is the 3-sphere
L(2,1) is real projective 3-space
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gptkbp:field
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gptkb:topology
geometric topology
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gptkbp:fundamentalGroup
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cyclic group of order p
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gptkbp:generalizes
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real projective 3-space
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gptkbp:hasConnection
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true
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gptkbp:hasCoveringSpace
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gptkb:3-sphere
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gptkbp:hasInvariant
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gptkb:fundamental_group
gptkb:Reidemeister_torsion
homology group
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gptkbp:hasQuotientGroupAction
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cyclic group
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gptkbp:homology
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same as that of S^2 × S^1 for some cases
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https://www.w3.org/2000/01/rdf-schema#label
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lens space
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gptkbp:introduced
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gptkb:Heinz_Hopf
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gptkbp:introducedIn
|
1924
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gptkbp:isClosed
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true
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gptkbp:isHausdorff
|
true
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gptkbp:isOrientable
|
true
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gptkbp:isPathConnected
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true
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gptkbp:isSeparable
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true
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gptkbp:notation
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L(p,q)
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gptkbp:relatedTo
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gptkb:3-sphere
cyclic group
spherical space form
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gptkbp:usedIn
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study of 3-manifolds
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gptkbp:bfsParent
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gptkb:Seifert_fiber_space
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gptkbp:bfsLayer
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6
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