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arxiv: 1702.05030 · v2 · pith:HKWEOUQJnew · submitted 2017-02-16 · 🧮 math.GT · math.LO

Semi-algebraic triangulation over p-adically closed fields

classification 🧮 math.GT math.LO
keywords semi-algebraicclosedp-adicallysetstriangulationapplicationscounterpartderive
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We prove a triangulation theorem for semi-algebraic sets over a p-adically closed field, quite similar to its real counterpart. We derive from it several applications like the existence of flexible retractions and splitting for semi-algebraic sets.

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