A

David

Darling

homeomorphic

A trefoil knot is homeomorphic to a solid torus, but not isotopic in R3.

A trefoil knot is homeomorphic to a solid torus, but not isotopic in R3.


In topology, two objects are said to be homeomorphic if they can be smoothly deformed into each other. A cube and a sphere, for example, are homeomorphic, whereas a torus and a sphere are not.