Article contents
INTEGRATION AND CELL DECOMPOSITION IN P-MINIMAL STRUCTURES
Published online by Cambridge University Press: 18 July 2016
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 of cell decomposition and function preparation for P-minimal structures, a result which is independent of the existence of Skolem functions. A direct corollary is that Denef’s results on the rationality of Poincaré series hold in any P-minimal expansion of a p-adic field
$\left( {K,{\cal L}} \right)$.
Keywords
- Type
- Articles
- Information
- Copyright
- Copyright © The Association for Symbolic Logic 2016
References
REFERENCES
- 4
- Cited by