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词条 Conway sphere
释义

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In mathematical knot theory, a Conway sphere, named after John Horton Conway, is a 2-sphere intersecting a given knot in the 3-sphere or 3-ball transversely in four points. It is essential if it is incompressible and boundary-incompressible in the knot complement.

References

  • {{cite journal|last=Gordon|first=Cameron McA.|author2=Luecke, John|title=Knots with unknotting number 1 and essential Conway spheres|journal=Alg. Geom. Topol.|date=2006|volume=6|pages=2051–2116|doi=10.2140/agt.2006.6.2051|accessdate=|arxiv=math/0601265}}
  • {{Citation | last1=Lickorish | first1=W. B. Raymond | title=An introduction to knot theory | url=https://books.google.com/books?id=PhHhw_kRvewC | publisher=Springer-Verlag | location=Berlin, New York | series=Graduate Texts in Mathematics | isbn=978-0-387-98254-0 | mr=1472978 | year=1997 | volume=175}}
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1 : Knot theory

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