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arxiv: 1601.06347 · v1 · pith:MKVY7OQZnew · submitted 2016-01-24 · 🧮 math.GT

Stability of C^infty convex integrands

classification 🧮 math.GT
keywords convexinftyintegrandsconsistingapplicationdensemathbbmoreover
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In this paper, it is shown that the set consisting of stable convex integrands $S^n\to \mathbb{R}_+$ is open and dense in the set consisting of $C^\infty$ convex integrands with respect to Whitney $C^\infty$ topology. Moreover, an application of the proof of this result is also shown.

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