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- W2962970415 abstract "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 $left( {K,{cal L}} right)$ ." @default.
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- W2962970415 date "2016-07-18" @default.
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- W2962970415 title "INTEGRATION AND CELL DECOMPOSITION IN P-MINIMAL STRUCTURES" @default.
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- W2962970415 doi "https://doi.org/10.1017/jsl.2015.38" @default.
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