Last Updated
：2025/11/29
Lickorish-Wallace theorem
Proper noun
Japanese Meaning
(数学) 任意の閉じた向き付け可能な連結な3次元多様体は、3次元球面内に埋め込まれたフレーム付きリンクに対して±1のDehn手術を施すことで得られるという定理であり、その際、各リンクの構成要素は単結び（unknotted）であると仮定できる。
Quizzes for review
(mathematics) The theorem that any closed, orientable, connected 3-manifold may be obtained by performing Dehn surgery on a framed link in the 3-sphere with ±1 surgery coefficients, and that each component of the link can be assumed to be unknotted.
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Lickorish-Wallace theorem
In our seminar we discussed the Lickorish-Wallace theorem and how it allows constructing every closed, orientable, connected 3-manifold by ±1 Dehn surgery on a framed link whose components can be assumed unknotted in the 3-sphere.
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In our seminar we discussed the Lickorish-Wallace theorem and how it allows constructing every closed, orientable, connected 3-manifold by ±1 Dehn surgery on a framed link whose components can be assumed unknotted in the 3-sphere.
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