EXAMPLES OF SMOOTH MAPS WITH FINITELY MANY CRITICAL POINTS IN DIMENSIONS (4,3), (8,5) AND (16,9)

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Amer Mathematical Soc

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info:eu-repo/semantics/openAccess

Abstract

We consider manifolds M-2n which admit smooth maps into a connected sum of S-1 x S-n with only finitely many critical points, for n is an element of {2,4,8}, and compute the minimal number of critical points.

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Critical point, isolated singularity, Hopf fibration, suspension, homotopy sphere

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Proceedings of the American Mathematical Society

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138

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1

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