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- Q1554293 subject Q7139288.
- Q1554293 subject Q8488086.
- Q1554293 subject Q8575263.
- Q1554293 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.".
- Q1554293 thumbnail Borromean_Seifert_surface.png?width=300.
- Q1554293 wikiPageExternalLink seifertview.
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- Q1554293 wikiPageWikiLink Q7139288.
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- Q1554293 wikiPageWikiLink Q8366.
- Q1554293 wikiPageWikiLink Q8488086.
- Q1554293 wikiPageWikiLink Q8575263.
- Q1554293 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).".
- Q1554293 label "Seifert surface".
- Q1554293 depiction Borromean_Seifert_surface.png.