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- Cyclic_surgery_theorem abstract "In three-dimensional topology, a branch of mathematics, the cyclic surgery theorem states that, for a compact, connected, orientable, irreducible three-manifold M whose boundary is a torus T, if M is not a Seifert-fibered space and r,s are slopes on T such that their Dehn fillings have cyclic fundamental group, then the distance between r and s (the minimal number of times that two simple closed curves in T representing r and s must intersect) is at most 1. Consequently, there are at most three Dehn fillings of M with cyclic fundamental group. The theorem appeared in a 1987 paper written by Marc Culler, Cameron Gordon, John Luecke and Peter Shalen.".
- Cyclic_surgery_theorem wikiPageID "29580519".
- Cyclic_surgery_theorem wikiPageLength "1247".
- Cyclic_surgery_theorem wikiPageOutDegree "17".
- Cyclic_surgery_theorem wikiPageRevisionID "466357234".
- Cyclic_surgery_theorem wikiPageWikiLink 3-manifold.
- Cyclic_surgery_theorem wikiPageWikiLink Cameron_Gordon_(mathematician).
- Cyclic_surgery_theorem wikiPageWikiLink Category:3-manifolds.
- Cyclic_surgery_theorem wikiPageWikiLink Category:Geometric_topology.
- Cyclic_surgery_theorem wikiPageWikiLink Category:Knot_theory.
- Cyclic_surgery_theorem wikiPageWikiLink Category:Theorems_in_topology.
- Cyclic_surgery_theorem wikiPageWikiLink Compact_space.
- Cyclic_surgery_theorem wikiPageWikiLink Connected_space.
- Cyclic_surgery_theorem wikiPageWikiLink Dehn_surgery.
- Cyclic_surgery_theorem wikiPageWikiLink Irreducibility_(mathematics).
- Cyclic_surgery_theorem wikiPageWikiLink John_Edwin_Luecke.
- Cyclic_surgery_theorem wikiPageWikiLink John_Luecke_(mathematician).
- Cyclic_surgery_theorem wikiPageWikiLink Marc_Culler.
- Cyclic_surgery_theorem wikiPageWikiLink Orientability.
- Cyclic_surgery_theorem wikiPageWikiLink Peter_Shalen.
- Cyclic_surgery_theorem wikiPageWikiLink Seifert-fibered_space.
- Cyclic_surgery_theorem wikiPageWikiLink Seifert_fiber_space.
- Cyclic_surgery_theorem wikiPageWikiLink Three-manifold.
- Cyclic_surgery_theorem wikiPageWikiLink Topology.
- Cyclic_surgery_theorem wikiPageWikiLink Torus.
- Cyclic_surgery_theorem wikiPageWikiLinkText "cyclic surgery theorem".
- Cyclic_surgery_theorem hasPhotoCollection Cyclic_surgery_theorem.
- Cyclic_surgery_theorem wikiPageUsesTemplate Template:Reflist.
- Cyclic_surgery_theorem wikiPageUsesTemplate Template:Topology-stub.
- Cyclic_surgery_theorem subject Category:3-manifolds.
- Cyclic_surgery_theorem subject Category:Geometric_topology.
- Cyclic_surgery_theorem subject Category:Knot_theory.
- Cyclic_surgery_theorem subject Category:Theorems_in_topology.
- Cyclic_surgery_theorem hypernym T.
- Cyclic_surgery_theorem type MartialArtist.
- Cyclic_surgery_theorem type Theorem.
- Cyclic_surgery_theorem comment "In three-dimensional topology, a branch of mathematics, the cyclic surgery theorem states that, for a compact, connected, orientable, irreducible three-manifold M whose boundary is a torus T, if M is not a Seifert-fibered space and r,s are slopes on T such that their Dehn fillings have cyclic fundamental group, then the distance between r and s (the minimal number of times that two simple closed curves in T representing r and s must intersect) is at most 1.".
- Cyclic_surgery_theorem label "Cyclic surgery theorem".
- Cyclic_surgery_theorem sameAs m.0fpghbq.
- Cyclic_surgery_theorem sameAs Q5198232.
- Cyclic_surgery_theorem sameAs Q5198232.
- Cyclic_surgery_theorem wasDerivedFrom Cyclic_surgery_theorem?oldid=466357234.
- Cyclic_surgery_theorem isPrimaryTopicOf Cyclic_surgery_theorem.