Cerf theory
Study of smooth real-valued functions on manifold and their singularities / From Wikipedia, the free encyclopedia
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In mathematics, at the junction of singularity theory and differential topology, Cerf theory is the study of families of smooth real-valued functions
on a smooth manifold , their generic singularities and the topology of the subspaces these singularities define, as subspaces of the function space. The theory is named after Jean Cerf, who initiated it in the late 1960s.