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Dimension Theory and Smooth Stratification of Rigid Subanalytic Sets

Published online by Cambridge University Press:  31 March 2017

By
Leonard Lipshitz  and
Zachary Robinson
Edited by
Samuel R. Buss ,
Petr Hájek  and
Pavel Pudlák
Leonard Lipshitz
Affiliation:
Purdue University West Lafayette
Zachary Robinson
Affiliation:
East Carolina University
Samuel R. Buss
Affiliation:
University of California, San Diego
Petr Hájek
Affiliation:
Academy of Sciences of the Czech Republic, Prague
Pavel Pudlák
Affiliation:
Academy of Sciences of the Czech Republic, Prague
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Logic Colloquium '98 , pp. 302 - 315
Publisher: Cambridge University Press
Print publication year: 2000

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References

1. Bierstone E.,Milman, P.|:x Semianalytic and subanalytic sets. Publ. Math. Inst. HautesÉ tudes Sci. 67 (1988) 5–42
2. Bosch, S., Güntzer, U.,Remmert, R.: Non-Archimedean Analysis. Springer-Verlag, Berlin New York (1984.
3. Denef, J.,van den Dries, L.: p-adic and real subanalytic sets. Ann. Math. 128 (1988) 79–138Google Scholar
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5. Gardener, T.: Local flattening in rigid analytic geometry. Preprint
6. Gardener, T., Schoutens, H.: Flattening and subanalytic sets in rigid analytic geometry. Preprint
7. Hasse, H.: Theorie der höheren Differentiale in einem algebraischen Funktionenk örper mit volkommenemKonstantenkörper bei beliebiger Charakteristik. J.reine agnew. Math 175 (1936), 50–54Google Scholar
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15. Lipshitz, L.,Robinson, Z.: One-dimensional fibers of rigid subanalytic sets. J.Symbolic Logic 63 (1998) 83–88Google Scholar
16. Lipshitz, L.,Robinson|Z.: Rings of separated power series (to appear in Asterisque)
17. Łojasiewicz, S.: Ensembles semi-analytiques. Inst. Hautes É tudes Sci., Lecture notes, 1965
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19. Matsumura, H.:Commutative Ring Theory. Cambridge University Press, Cambridge New York (1989.
20. Robinson, Z.: Smooth points of p-adic subanalytic sets.Manuscripta Math. 80 (1993) 45–71Google Scholar
21. Robinson, Z.: Flatness and smooth points of p-adic subanalytic sets. Ann. Pure Appl. Logic 88 (1997) 217–225Google Scholar
22. Robinson, Z.: A rigid analytic approximation theorem. (to appear in Asterisque)
23. Schoutens, H.: Rigid subanalytic sets. Comp. Math. 94 (1994) 269–295
24. Schoutens, H.: Rigid subanalytic sets in the plane. J.Algebra 170 (1994) 266–276Google Scholar
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26. Schoutens, H.: Embedded resolution of singularities in rigid analytic geometry. Preprint
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28. Schoutens, H.: Rigid analytic flatificators. Preprint
29. Serre, J-P: Lie Algebras and Lie Groups. 1964 Lectures given at Harvard University, Math Lecture Notes. W.A. Benjamin, Inc., New York (1965.

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