INTEGRATION AND CELL DECOMPOSITION IN P-MINIMAL STRUCTURES
INTEGRATION AND CELL DECOMPOSITION IN P-MINIMAL STRUCTURES
Abstract We show that the class of ${\cal L}$ -constructible functions is closed under integration for any P -minimal expansion of a p -adic field $\left( {K,{\cal L}} \right)$ . This generalizes results previously known for semi-algebraic and subanalytic structures. As part of the proof, we obtain a weak version …