We still haven't proven whether every possible three-dimensional knot can be distinguished from every other knot using only a finite, computable set of properties.
open
Global / Unspecified, Global
While many invariants help distinguish specific knots, no single finite and fully general method has been proven to work for absolutely every possible pair of knots. This remains a central unresolved question in the mathematical study of knots.
Citation ID: WS01281
Title: We still haven't proven whether every possible three-dimensional knot can be distinguished from every other knot using only a finite, computable set of properties.
URL: https://worldsolve.org/index.php?api=problem&id=1281