Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1163

Preprint Number 1163

Previous Next Preprint server

1163. Luck Darnière (LAREMA)
Semi-algebraic triangulation over p-adically closed fields

Submission date: 15 February 2017


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

Full text: pdf, dvi, ps.

Last updated: March 23 2021 10:20 Please send your corrections to: