Recently Yi Ni proved that if a knot admits a lens space surgery, then it is Joshua Greene showed that the lens spaces which are realized by surgery on a knot in the 3-sphere are precisely the lens spaces arising from surgery along the Berge knots.
22.
Recently Yi Ni proved that if a knot admits a lens space surgery, then it is Joshua Greene showed that the lens spaces which are realized by surgery on a knot in the 3-sphere are precisely the lens spaces arising from surgery along the Berge knots.
23.
Recently Yi Ni proved that if a knot admits a lens space surgery, then it is Joshua Greene showed that the lens spaces which are realized by surgery on a knot in the 3-sphere are precisely the lens spaces arising from surgery along the Berge knots.
24.
Lens spaces can be represented as Seifert fiber spaces in many ways, usually as fiber spaces over the 2-sphere with at most two exceptional fibers, though the lens space with fundamental group of order 4 also has a representation as a Seifert fiber space over the projective plane with no exceptional fibers.
25.
Lens spaces can be represented as Seifert fiber spaces in many ways, usually as fiber spaces over the 2-sphere with at most two exceptional fibers, though the lens space with fundamental group of order 4 also has a representation as a Seifert fiber space over the projective plane with no exceptional fibers.
26.
The three-dimensional lens spaces L ( p, q ) were introduced by J . W . Alexander in 1919 showed that the lens spaces L ( 5; 1 ) and L ( 5; 2 ) were not homeomorphic even though they have isomorphic fundamental groups and the same homology, though they do not have the same homotopy type.
27.
The three-dimensional lens spaces L ( p, q ) were introduced by J . W . Alexander in 1919 showed that the lens spaces L ( 5; 1 ) and L ( 5; 2 ) were not homeomorphic even though they have isomorphic fundamental groups and the same homology, though they do not have the same homotopy type.