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- Pair_of_pants_(mathematics) abstract "In mathematics, a pair of pants is a simple two-dimensional surface resembling a pair of pants: topologically, it is a sphere with three holes in it. Pairs of pants admit hyperbolic metrics, and their isometry class is determined by the lengths of the boundary curves (the cuff lengths), or dually the distances between the boundaries (the seam lengths).In hyperbolic geometry all three holes are considered equivalent – no distinction is made between "legs" and "waist". In cobordism theory the holes are not equivalent – a pair of pants is a cobordism between one circle (the "waist") and two circles (the "legs").".
- Pair_of_pants_(mathematics) thumbnail Pair_of_pants_cobordism_(pantslike).svg?width=300.
- Pair_of_pants_(mathematics) wikiPageExternalLink PDF.
- Pair_of_pants_(mathematics) wikiPageID "2812977".
- Pair_of_pants_(mathematics) wikiPageLength "5160".
- Pair_of_pants_(mathematics) wikiPageOutDegree "32".
- Pair_of_pants_(mathematics) wikiPageRevisionID "644162138".
- Pair_of_pants_(mathematics) wikiPageWikiLink Category:Hyperbolic_geometry.
- Pair_of_pants_(mathematics) wikiPageWikiLink Cobordism.
- Pair_of_pants_(mathematics) wikiPageWikiLink Congruence_(geometry).
- Pair_of_pants_(mathematics) wikiPageWikiLink Connected_sum.
- Pair_of_pants_(mathematics) wikiPageWikiLink Cusp_(singularity).
- Pair_of_pants_(mathematics) wikiPageWikiLink Deformation_retract.
- Pair_of_pants_(mathematics) wikiPageWikiLink Fenchel–Nielsen_coordinates.
- Pair_of_pants_(mathematics) wikiPageWikiLink Free_group.
- Pair_of_pants_(mathematics) wikiPageWikiLink Frobenius_algebra.
- Pair_of_pants_(mathematics) wikiPageWikiLink Fundamental_group.
- Pair_of_pants_(mathematics) wikiPageWikiLink Fundamental_polygon.
- Pair_of_pants_(mathematics) wikiPageWikiLink Genus_(mathematics).
- Pair_of_pants_(mathematics) wikiPageWikiLink Homeomorphic.
- Pair_of_pants_(mathematics) wikiPageWikiLink Homeomorphism.
- Pair_of_pants_(mathematics) wikiPageWikiLink Homotopy.
- Pair_of_pants_(mathematics) wikiPageWikiLink Hyperbolic_geometry.
- Pair_of_pants_(mathematics) wikiPageWikiLink Hyperbolic_triangle.
- Pair_of_pants_(mathematics) wikiPageWikiLink Ideal_triangle.
- Pair_of_pants_(mathematics) wikiPageWikiLink Little_Picard_theorem.
- Pair_of_pants_(mathematics) wikiPageWikiLink Mathematics.
- Pair_of_pants_(mathematics) wikiPageWikiLink Moduli_space.
- Pair_of_pants_(mathematics) wikiPageWikiLink Picard_theorem.
- Pair_of_pants_(mathematics) wikiPageWikiLink Riemann_surface.
- Pair_of_pants_(mathematics) wikiPageWikiLink Sphere.
- Pair_of_pants_(mathematics) wikiPageWikiLink Surface.
- Pair_of_pants_(mathematics) wikiPageWikiLink Topological_quantum_field_theory.
- Pair_of_pants_(mathematics) wikiPageWikiLink Trousers.
- Pair_of_pants_(mathematics) wikiPageWikiLink Two-sphere.
- Pair_of_pants_(mathematics) wikiPageWikiLink Wedge_sum.
- Pair_of_pants_(mathematics) wikiPageWikiLink William_Thurston.
- Pair_of_pants_(mathematics) wikiPageWikiLink File:Pair_of_pants_cobordism_(pantslike).svg.
- Pair_of_pants_(mathematics) wikiPageWikiLink File:Stef57_Cobordisme_en_dim_1.jpg.
- Pair_of_pants_(mathematics) wikiPageWikiLink File:Worldsheet.png.
- Pair_of_pants_(mathematics) wikiPageWikiLinkText "Pair of pants (mathematics)".
- Pair_of_pants_(mathematics) wikiPageWikiLinkText "pair of pants".
- Pair_of_pants_(mathematics) wikiPageWikiLinkText "pairs of pants".
- Pair_of_pants_(mathematics) wikiPageWikiLinkText "pants".
- Pair_of_pants_(mathematics) hasPhotoCollection Pair_of_pants_(mathematics).
- Pair_of_pants_(mathematics) wikiPageUsesTemplate Template:Details.
- Pair_of_pants_(mathematics) wikiPageUsesTemplate Template:No_footnotes.
- Pair_of_pants_(mathematics) subject Category:Hyperbolic_geometry.
- Pair_of_pants_(mathematics) hypernym Surface.
- Pair_of_pants_(mathematics) type Bone.
- Pair_of_pants_(mathematics) comment "In mathematics, a pair of pants is a simple two-dimensional surface resembling a pair of pants: topologically, it is a sphere with three holes in it. Pairs of pants admit hyperbolic metrics, and their isometry class is determined by the lengths of the boundary curves (the cuff lengths), or dually the distances between the boundaries (the seam lengths).In hyperbolic geometry all three holes are considered equivalent – no distinction is made between "legs" and "waist".".
- Pair_of_pants_(mathematics) label "Pair of pants (mathematics)".
- Pair_of_pants_(mathematics) sameAs Hose_(Mathematik).
- Pair_of_pants_(mathematics) sameAs m.084b8l.
- Pair_of_pants_(mathematics) sameAs Q7125122.
- Pair_of_pants_(mathematics) sameAs Q7125122.
- Pair_of_pants_(mathematics) sameAs Pair_of_pants.
- Pair_of_pants_(mathematics) wasDerivedFrom Pair_of_pants_(mathematics)?oldid=644162138.
- Pair_of_pants_(mathematics) depiction Pair_of_pants_cobordism_(pantslike).svg.
- Pair_of_pants_(mathematics) isPrimaryTopicOf Pair_of_pants_(mathematics).