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Keywords:
hypersurface in $\mathbb R^n$; nondegenerate critical point; noncompact Morse Theory; h-cobordism; Palais-Smale condition
hypersurface in $\mathbb R^n$; nondegenerate critical point; noncompact Morse Theory; h-cobordism; Palais-Smale condition
Summary:
In this paper we study the hypersurfaces $M^n$ given as connected compact regular fibers of a differentiable map $f: \mathbb R^{n+1} \rightarrow \mathbb R$, in the cases in which $f$ has finitely many nondegenerate critical points in the unbounded component of $\mathbb R^{n+1} - M^n$.
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