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- Seifert_surface abstract "In mathematics, a Seifert surface (named after German mathematician Herbert Seifert) is a surface whose boundary is a given knot or link.Such surfaces can be used to study the properties of the associated knot or link. For example, many knot invariants are most easily calculated using a Seifert surface. Seifert surfaces are also interesting in their own right, and the subject of considerable research.Specifically, let L be a tame oriented knot or link in Euclidean 3-space (or in the 3-sphere). A Seifert surface is a compact, connected, oriented surface S embedded in 3-space whose boundary is L such that the orientation on L is just the induced orientation from S, and every connected component of S has non-empty boundary.Note that any compact, connected, oriented surface with nonempty boundary in Euclidean 3-space is the Seifert surface associated to its boundary link. A single knot or link can have many different inequivalent Seifert surfaces. A Seifert surface must be oriented. It is possible to associate unoriented (and not necessarily orientable) surfaces to knots as well.".
- Seifert_surface thumbnail Borromean_Seifert_surface.png?width=300.
- Seifert_surface wikiPageExternalLink seifertview.
- Seifert_surface wikiPageID "1343951".
- Seifert_surface wikiPageLength "6918".
- Seifert_surface wikiPageOutDegree "55".
- Seifert_surface wikiPageRevisionID "634814410".
- Seifert_surface wikiPageWikiLink 3-sphere.
- Seifert_surface wikiPageWikiLink Alexander_polynomial.
- Seifert_surface wikiPageWikiLink Algorithm.
- Seifert_surface wikiPageWikiLink Arf_invariant_of_a_knot.
- Seifert_surface wikiPageWikiLink Boundary_of_a_manifold.
- Seifert_surface wikiPageWikiLink Category:Geometric_topology.
- Seifert_surface wikiPageWikiLink Category:Knot_theory.
- Seifert_surface wikiPageWikiLink Category:Surfaces.
- Seifert_surface wikiPageWikiLink Compact_space.
- Seifert_surface wikiPageWikiLink Connected_space.
- Seifert_surface wikiPageWikiLink Connected_sum.
- Seifert_surface wikiPageWikiLink Crosscap_number.
- Seifert_surface wikiPageWikiLink Disk_(mathematics).
- Seifert_surface wikiPageWikiLink Euclidean_3-space.
- Seifert_surface wikiPageWikiLink Euclidean_space.
- Seifert_surface wikiPageWikiLink Felix_Frankl.
- Seifert_surface wikiPageWikiLink Figure-eight_knot_(mathematics).
- Seifert_surface wikiPageWikiLink Genus_(mathematics).
- Seifert_surface wikiPageWikiLink Germany.
- Seifert_surface wikiPageWikiLink Herbert_Seifert.
- Seifert_surface wikiPageWikiLink Intersection_form_(4-manifold).
- Seifert_surface wikiPageWikiLink Jack_van_Wijk.
- Seifert_surface wikiPageWikiLink Knot_(mathematics).
- Seifert_surface wikiPageWikiLink Knot_invariant.
- Seifert_surface wikiPageWikiLink Knot_invariants.
- Seifert_surface wikiPageWikiLink Knot_sum.
- Seifert_surface wikiPageWikiLink Lev_Pontryagin.
- Seifert_surface wikiPageWikiLink Link_(knot_theory).
- Seifert_surface wikiPageWikiLink Linking_number.
- Seifert_surface wikiPageWikiLink Manifold.
- Seifert_surface wikiPageWikiLink Mathematician.
- Seifert_surface wikiPageWikiLink Mathematics.
- Seifert_surface wikiPageWikiLink Möbius_strip.
- Seifert_surface wikiPageWikiLink Orientability.
- Seifert_surface wikiPageWikiLink Oriented.
- Seifert_surface wikiPageWikiLink Seifert_algorithm.
- Seifert_surface wikiPageWikiLink Signature_of_a_knot.
- Seifert_surface wikiPageWikiLink Skew-symmetric_matrix.
- Seifert_surface wikiPageWikiLink Surface.
- Seifert_surface wikiPageWikiLink Surgery_theory.
- Seifert_surface wikiPageWikiLink Symmetric_bilinear_form.
- Seifert_surface wikiPageWikiLink Tame_knot.
- Seifert_surface wikiPageWikiLink Theorem.
- Seifert_surface wikiPageWikiLink Three-dimensional_space_(mathematics).
- Seifert_surface wikiPageWikiLink Torus_knot.
- Seifert_surface wikiPageWikiLink Trefoil_knot.
- Seifert_surface wikiPageWikiLink Unknot.
- Seifert_surface wikiPageWikiLink Wild_knot.
- Seifert_surface wikiPageWikiLink File:Borromean_Seifert_surface.png.
- Seifert_surface wikiPageWikiLink File:Hopf_band_wikipedia.png.
- Seifert_surface wikiPageWikiLinkText "Seifert surface".
- Seifert_surface wikiPageWikiLinkText "Seifert surface#Genus of a knot".
- Seifert_surface wikiPageWikiLinkText "knot genus".
- Seifert_surface hasPhotoCollection Seifert_surface.
- Seifert_surface wikiPageUsesTemplate Template:Knot_theory.
- Seifert_surface wikiPageUsesTemplate Template:Reflist.
- Seifert_surface subject Category:Geometric_topology.
- Seifert_surface subject Category:Knot_theory.
- Seifert_surface subject Category:Surfaces.
- Seifert_surface hypernym Surface.
- Seifert_surface type Article.
- Seifert_surface type Bone.
- Seifert_surface type Article.
- Seifert_surface type Surface.
- Seifert_surface comment "In mathematics, a Seifert surface (named after German mathematician Herbert Seifert) is a surface whose boundary is a given knot or link.Such surfaces can be used to study the properties of the associated knot or link. For example, many knot invariants are most easily calculated using a Seifert surface. Seifert surfaces are also interesting in their own right, and the subject of considerable research.Specifically, let L be a tame oriented knot or link in Euclidean 3-space (or in the 3-sphere).".
- Seifert_surface label "Seifert surface".
- Seifert_surface sameAs Seifert-Fläche.
- Seifert_surface sameAs ザイフェルト曲面.
- Seifert_surface sameAs Seifert-oppervlak.
- Seifert_surface sameAs Género_de_um_nó.
- Seifert_surface sameAs m.04vblh.
- Seifert_surface sameAs Поверхность_Зейферта.
- Seifert_surface sameAs Q1554293.
- Seifert_surface sameAs Q1554293.
- Seifert_surface wasDerivedFrom Seifert_surface?oldid=634814410.
- Seifert_surface depiction Borromean_Seifert_surface.png.
- Seifert_surface isPrimaryTopicOf Seifert_surface.