p-adic subanalytic preparation and cell decomposition theorems
Abstract
We prove a p-adic version of Lion and Rolin's preparation theorem. As a byproduct we obtain an extension of Denef's Cell Decomposition Theorem to the p-adic analytic case. Using these results, we give shorter and more explicit proofs of some of the results by Denef and van den Dries on p-adic subanalytic sets.
Degree
Ph.D.
Advisors
Lipshitz, Purdue University.
Subject Area
Mathematics
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