Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Reduction modulo pn of p-adic subanalytic sets

Willem Veysa1

a1 K. U. Leuven, Departement Wiskunde, Celestijnenlaan 200-B, B-3001 Leuven, Belgium

Let xs211Ap and ℤp respectively denote the p-adic numbers and the p-adic integers for a fixed prime number p. For any subset Y of S0305004100071152_inline1 and n xs2208 xs2115 we denote by Nn(Y) the cardinality of the image of Y under the natural map S0305004100071152_inline2. (Thus we have Nn(Y)≤ pnr.)

(Received September 05 1991)