English Explanatory Dictionary

Lickorish-Wallace theorem

English dictionary entry

Meanings

name
  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.

Word forms

Lickorish-Wallace theorem

Etymology

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

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