Flatness and smooth points of p-adic subanalytic sets

Annals of Pure and Applied Logic 88 (2-3):217-225 (1997)
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Abstract

We give a new proof of the subanalyticity of the regular locus of a p-adic subanalytic set, replacing use of an approximation theorem by a more natural argument based on the flatness of certain homomorphisms given by Taylor expansions of strictly convergent power series at a non-standard point of Zmp

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10.1016/s0168-0072(97)00023-7

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