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RIGID SUBANALYTIC SUBSETS OF CURVES AND SURFACES
Published online by Cambridge University Press: 01 June 1999
Abstract
Working over an algebraically closed, complete, non-Archimedean, nontrivially valued field of characteristic zero, it is shown that (i) any subanalytic subset of a one-dimensional semialgebraic set is semialgebraic, (ii) any one-dimensional subanalytic set is semianalytic, and (iii) any subanalytic subset of a two-dimensional semianalytic set is semianalytic.
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- Notes and Papers
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- The London Mathematical Society 1999
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