Submission date: 15 February 2017

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.

Mathematics Subject Classification: 12J12, 51H20, 57N80

Keywords and phrases: p-adic geometry, semi-algebraic sets, cell decomposition, triangulation, retraction, simplicial complex

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