Constructs a Morse theory for distance functions from definable sets to manifolds via Lipschitz critical points, with quadratic and PL indices, and applies it to bound critical points between generic algebraic hypersurfaces.
A function not constant on a connected set of critical points
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Morse theory of Euclidean distance functions from algebraic hypersurfaces
Constructs a Morse theory for distance functions from definable sets to manifolds via Lipschitz critical points, with quadratic and PL indices, and applies it to bound critical points between generic algebraic hypersurfaces.