figure-eight knot complement
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:3-manifold
|
| gptkbp:borders |
gptkb:butter
|
| gptkbp:covers |
modular group action on upper half-plane
|
| gptkbp:first_Betti_number |
1
|
| gptkbp:fundamentalGroup |
⟨a, b | aba^{-1}b^{-1}a b a^{-1} b = 1⟩
|
| gptkbp:has_cusp_shape |
gptkb:public_square
|
| gptkbp:is_a_knot_complement_in_S^3 |
true
|
| gptkbp:is_arithmetic |
true
|
| gptkbp:is_atoroidal |
true
|
| gptkbp:is_complement_of |
figure-eight knot
|
| gptkbp:is_fibred |
true
|
| gptkbp:is_Haken_manifold |
true
|
| gptkbp:is_hyperbolic |
true
|
| gptkbp:is_irreducible |
true
|
| gptkbp:is_non-compact |
true
|
| gptkbp:is_orientable |
true
|
| gptkbp:is_smallest_volume_hyperbolic_3-manifold |
true
|
| gptkbp:is_used_as_example_in |
gptkb:Thurston's_hyperbolization_theorem
|
| gptkbp:symmetry |
gptkb:D_4
|
| gptkbp:volume |
2.02988
|
| gptkbp:bfsParent |
gptkb:hyperbolic_manifolds
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
figure-eight knot complement
|