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Lickorish-Wallace theorem

Lickorish-Wallace theorem proper noun: 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.

Proper noun

Lickorish-Wallace theorem

  1. 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.

Origin of Lickorish-Wallace theorem

The theorem was proved independently in the early 1960s by W. B. R. Lickorish and Andrew H. Wallace.

Questions about Lickorish-Wallace theorem

What does Lickorish-Wallace theorem mean?
Lickorish-Wallace theorem means 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.
What part of speech is Lickorish-Wallace theorem?
Lickorish-Wallace theorem is a proper noun.

Words near Lickorish-Wallace theorem in the dictionary

  1. lickle
  2. lickometer
  3. lickometered
  4. lickometers
  5. Lickorish
  6. Lickorish-Wallace theorem
  7. lickpennies
  8. lickpenny
  9. lickport
  10. lickports
  11. lickpot

Source and license

Adapted from Wiktionary: Lickorish-Wallace theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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