Last Updated
：2025/11/24
Property P
Proper noun
of a knot k
Japanese Meaning
結び目 k に対して、3次元球面上で非自明な Dehn 手術を施しても、得られる多様体が単連結（全ての閉曲線が収縮可能）にならない性質。
Quizzes for review
(of a knot k) That no nontrivial Dehn surgery along k in the 3-sphere yields a simply connected manifold.
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Property P
Many knot theorists investigate whether a given knot has Property P, since that condition prevents any nontrivial Dehn surgery in the 3-sphere from yielding a simply connected manifold.
See correct answer
Many knot theorists investigate whether a given knot has Property P, since that condition prevents any nontrivial Dehn surgery in the 3-sphere from yielding a simply connected manifold.
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