Lamp cord trick

In topology, a branch of mathematics, and specifically knot theory, the lamp cord trick is an observation that two certain spaces are homeomorphic, even if one of the components is knotted. The spaces are ${\displaystyle M^{3}\backslash T_{i},i=1,2}$, where ${\displaystyle M^{3}}$ is a hollow ball homeomorphic to ${\displaystyle S^{2}\times [0,1]}$ and ${\displaystyle T_{i}}$ a tube connecting the boundary components of ${\displaystyle M^{3}}$. The name comes from R. H. Bing's book "The Geometric Topology of 3-manifolds".^[1]

References

1. Bing, R. H. (31 December 1983). The Geometric Topology of 3-manifolds. ISBN 9780821810408.

• Lucien Grillet, La Conjecture de Smith en faible régularité.