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Semi-algebraic triangulation over p-adically closed fields

Abstract

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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Dates and versions

hal-01469754 , version 1 (16-02-2017)
hal-01469754 , version 2 (08-11-2018)

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Luck Darnière. Semi-algebraic triangulation over p-adically closed fields. 2018. ⟨hal-01469754v2⟩
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