Nowak, Krzysztof Jan Quantifier elimination in quasianalytic structures via non-standard analysis. (English) Zbl 1328.03033 Ann. Pol. Math. 114, No. 3, 235-267 (2015). MSC: 03C10 03H05 32S45 26E10 32B20 PDF BibTeX XML Cite \textit{K. J. Nowak}, Ann. Pol. Math. 114, No. 3, 235--267 (2015; Zbl 1328.03033) Full Text: DOI arXiv
Haskell, Deirdre; Hrushovski, Ehud; Macpherson, Dugald Unexpected imaginaries in valued fields with analytic structure. (English) Zbl 1317.03029 J. Symb. Log. 78, No. 2, 523-542 (2013). Reviewer: Martin Hils (Paris) MSC: 03C60 12L12 03C64 PDF BibTeX XML Cite \textit{D. Haskell} et al., J. Symb. Log. 78, No. 2, 523--542 (2013; Zbl 1317.03029) Full Text: DOI arXiv Euclid Link
Cluckers, R.; Lipshitz, L. Fields with analytic structure. (English) Zbl 1291.03074 J. Eur. Math. Soc. (JEMS) 13, No. 4, 1147-1223 (2011). Reviewer: Mickaël Matusinski (Bordeaux) MSC: 03C64 03C60 12J99 32C05 PDF BibTeX XML Cite \textit{R. Cluckers} and \textit{L. Lipshitz}, J. Eur. Math. Soc. (JEMS) 13, No. 4, 1147--1223 (2011; Zbl 1291.03074) Full Text: DOI arXiv
Rolin, Jean-Philippe Establishing the o-minimality for expansions of the real field. (English) Zbl 1181.14062 Chatzidakis, Zoé (ed.) et al., Model theory with applications to algebra and analysis. Vol. 1. Cambridge: Cambridge University Press (ISBN 978-0-521-69484-1/pbk). London Mathematical Society Lecture Note Series 349, 249-282 (2008). Reviewer: Assaf Hasson (Be’er Sheva) MSC: 14P99 03C64 26E40 PDF BibTeX XML Cite \textit{J.-P. Rolin}, Lond. Math. Soc. Lect. Note Ser. 349, 249--282 (2008; Zbl 1181.14062)
Cluckers, R.; Lipshitz, L.; Robinson, Z. Real closed fields with non-standard and standard analytic structure. (English) Zbl 1184.03032 J. Lond. Math. Soc., II. Ser. 78, No. 1, 198-212 (2008). Reviewer: Tobias Kaiser (Passau) MSC: 03C64 32P05 32B05 32B20 03C10 03C98 03C60 14P15 PDF BibTeX XML Cite \textit{R. Cluckers} et al., J. Lond. Math. Soc., II. Ser. 78, No. 1, 198--212 (2008; Zbl 1184.03032) Full Text: DOI arXiv
Gardener, T. S.; Schoutens, Hans Rigid subanalytic sets. (English) Zbl 1026.32048 Kuhlmann, Franz-Viktor (ed.) et al., Valuation theory and its applications. Volume I. Proceedings of the international conference and workshop, University of Saskatchewan, Saskatoon, Canada, July 28-August 11, 1999. Providence, RI: American Mathematical Society (AMS). Fields Inst. Commun. 32, 141-150 (2002). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 32P05 32B20 12J25 03C10 14P10 13C11 PDF BibTeX XML Cite \textit{T. S. Gardener} and \textit{H. Schoutens}, Fields Inst. Commun. 32, 141--150 (2002; Zbl 1026.32048)
Gardener, T. S.; Schoutens, Hans Flattening and subanalytic sets in rigid analytic geometry. (English) Zbl 1047.32016 Proc. Lond. Math. Soc., III. Ser. 83, No. 3, 681-707 (2001). Reviewer: Wilson A. Zuniga-Galindo (Miami) MSC: 32P05 32B20 14P99 PDF BibTeX XML Cite \textit{T. S. Gardener} and \textit{H. Schoutens}, Proc. Lond. Math. Soc. (3) 83, No. 3, 681--707 (2001; Zbl 1047.32016) Full Text: DOI arXiv
Lipshitz, Leonard; Robinson, Zachary Dimension theory and smooth stratification of rigid subanalytic sets. (English) Zbl 0978.14046 Buss, Samuel R. (ed.) et al., Logic colloquium ’98. Proceedings of the annual European summer meeting of the Association for Symbolic Logic, Prague, Czech Republic, August 9-15, 1998. Natick, MA: A K Peters, Ltd. Lect. Notes Log. 13, 302-315 (2000). Reviewer: Z.Hajto (Kraków) MSC: 14P15 03C10 32P05 32B20 03C60 PDF BibTeX XML Cite \textit{L. Lipshitz} and \textit{Z. Robinson}, Lect. Notes Log. 13, 302--315 (2000; Zbl 0978.14046)
van den Dries, Lou; Haskell, Deirdre; MacPherson, Dugald One-dimensional \(p\)-adic subanalytic sets. (English) Zbl 0932.03038 J. Lond. Math. Soc., II. Ser. 59, No. 1, 1-20 (1999). Reviewer: Hans Schoutens (Piscataway) MSC: 03C60 14P10 13L05 14P15 13J07 PDF BibTeX XML Cite \textit{L. van den Dries} et al., J. Lond. Math. Soc., II. Ser. 59, No. 1, 1--20 (1999; Zbl 0932.03038) Full Text: DOI
Schoutens, Hans Rigid subanalytic sets. (English) Zbl 0867.32012 Compos. Math. 94, No. 3, 269-295 (1994). Reviewer: Zachary Robinson (MR 96b:32043) MSC: 32P05 32B20 14P15 03C10 14G20 PDF BibTeX XML Cite \textit{H. Schoutens}, Compos. Math. 94, No. 3, 269--295 (1994; Zbl 0867.32012) Full Text: Numdam EuDML
Schoutens, Hans Uniformization of rigid subanalytic sets. (English) Zbl 0867.32011 Compos. Math. 94, No. 3, 227-245 (1994). Reviewer: Zachary Robinson (MR 96b:32042) MSC: 32P05 32B20 14G20 14P15 03C10 PDF BibTeX XML Cite \textit{H. Schoutens}, Compos. Math. 94, No. 3, 227--245 (1994; Zbl 0867.32011) Full Text: Numdam EuDML
van den Dries, Lou; Macintyre, Angus; Marker, David The elementary theory of restricted analytic fields with exponentiation. (English) Zbl 0837.12006 Ann. Math. (2) 140, No. 1, 183-205 (1994). Reviewer: S.Kuhlmann (Heidelberg) MSC: 12L12 12J15 03C60 PDF BibTeX XML Cite \textit{L. van den Dries} et al., Ann. Math. (2) 140, No. 1, 183--205 (1994; Zbl 0837.12006) Full Text: DOI
van den Dries, Lou Analytic Ax-Kochen-Ershov theorems. (English) Zbl 0835.03004 Algebra, Proc. Int. Conf. Memory A. I. Mal’cev, Novosibirsk/USSR 1989, Contemp. Math. 131, Pt. 3, 379-398 (1992). Reviewer: M.Yasuhara (MR 93i:03041) MSC: 03C10 03C60 13J15 13J07 13L05 12L12 PDF BibTeX XML Cite \textit{L. van den Dries}, Contemp. Math. 131, 379--398 (1992; Zbl 0835.03004)