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gptkbp:instanceOf
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gptkb:homology_3-sphere
3-manifold
homology sphere
|
|
gptkbp:builtBy
|
surgery on the (−1,1) curve of a dodecahedral knot
|
|
gptkbp:compact
|
true
|
|
gptkbp:dimensions
|
3
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|
gptkbp:discoveredBy
|
gptkb:Henri_Poincaré
|
|
gptkbp:discoveredIn
|
1904
|
|
gptkbp:firstHomologyGroup
|
trivial group
|
|
gptkbp:fundamentalGroup
|
gptkb:binary_icosahedral_group
|
|
gptkbp:hasFiniteFundamentalGroup
|
true
|
|
gptkbp:hasHeegaardGenus
|
2
|
|
gptkbp:hasOrderOfFundamentalGroup
|
120
|
|
gptkbp:hasSeifertFiberedStructure
|
true
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Poincaré homology sphere
|
|
gptkbp:importantFor
|
gptkb:Poincaré_conjecture
gptkb:3-manifold_topology
|
|
gptkbp:isClosedManifold
|
true
|
|
gptkbp:isFirstKnownHomologySphere
|
true
|
|
gptkbp:isNotHomeomorphicTo
|
gptkb:3-sphere
|
|
gptkbp:isOrientable
|
true
|
|
gptkbp:isPrimeManifold
|
true
|
|
gptkbp:isSeifertFiberedSpace
|
true
|
|
gptkbp:namedAfter
|
gptkb:Henri_Poincaré
|
|
gptkbp:orientable
|
true
|
|
gptkbp:simplyConnected
|
false
|
|
gptkbp:universalCover
|
gptkb:3-sphere
|
|
gptkbp:bfsParent
|
gptkb:Henri_Poincaré
|
|
gptkbp:bfsLayer
|
5
|