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Rigid subanalytic subsets of the line and the plane
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 118, Number 3, June 1996
- pp. 493-527
- 10.1353/ajm.1996.0027
- Article
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Working over an algebraically closed, complete non-Archimedean non-trivially valued field, we show that any subanalytic subset of the line is semialgebraic and that any subanalytic subset of the plane is semianalytic.