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arxiv: 1409.0132 · v3 · pith:PJK4VRE5new · submitted 2014-08-30 · 🧮 math.DG

The Sub-Index of Critical Points of Distance Functions

classification 🧮 math.DG
keywords distancesub-indexcriticalfunctionsaffectsdefinefunctionhomotopy
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We define a new notion---the sub-index of a critical point of a distance function. We show how sub-index affects the homotopy type of sublevel sets of distance functions.

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