Abstract:Fold maps are fundamental tools in the theory of singularities of differentiable maps and its applications to geometry. They are higher dimensional variants of Morse functions. Classes of special generic maps and round fold maps are important classes of fold maps. Special generic maps are higher dimensional variants of Morse functions on homotopy spheres with exactly two singular points: canonical projections of unit spheres are special generic. Round fold maps are Morse functions obtained as doubles of Morse … Show more
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