Aschenbrenner, Matthias; Srhir, Ahmed Analytic nullstellensätze and the model theory of valued fields. (English) Zbl 07914833 Math. Nachr. 297, No. 8, 2873-2917 (2024). MSC: 03C60 12J10 12L12 13J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Sánchez, Fernando Sanz Half a century with the problem of the gradient of an analytic function. (English) Zbl 07914233 Cano, Felipe (ed.) et al., Handbook of geometry and topology of singularities V: foliations. Cham: Springer. 335-395 (2024). MSC: 32Sxx 14Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Wilkie, Alex J. Analytic continuation and Zilber’s quasiminimality conjecture. (English) Zbl 07902070 Model Theory 3, No. 2, 701-719 (2024). MSC: 03C64 03C65 30E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhardwaj, Neer; van Den Dries, Lou Analytic Ax-Kochen-Ersov theory with lifts of the residue field and value group. (English) Zbl 07889236 Trans. Am. Math. Soc., Ser. B 11, 1015-1064 (2024). MSC: 03C10 32B05 03C60 12J25 13J15 13L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Halevi, Yatir; Hasson, Assaf; Peterzil, Ya’acov On groups interpretable in various valued fields. (English) Zbl 07874762 Sel. Math., New Ser. 30, No. 4, Paper No. 59, 64 p. (2024). Reviewer: Piotr Kowalski (Wrocław) MSC: 12L12 03C60 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belotto da Silva, André; Curmi, Octave; Rond, Guillaume On the Nash points of subanalytic sets. (English) Zbl 07865143 J. Singul. 27, 68-88 (2024). MSC: 13B10 14P20 32C07 13A18 13J05 32B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Potemans, Naud; Veys, Willem Introduction to \(p\)-adic Igusa zeta functions. (English) Zbl 1498.11231 Galindo, Carlos (ed.) et al., \(p\)-adic analysis, arithmetic and singularities. UIMP-RSME, Lluís A. Santaló summer school, Universidad Internacional Menéndez Pelayo, Santander, Spain, June 24–28, 2019. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 778, 71-102 (2022). Reviewer: Yilmaz Simsek (Antalya) MSC: 11S40 11S80 14E15 11M41 14G10 14G20 14H20 × Cite Format Result Cite Review PDF Full Text: DOI
Aschenbrenner, Matthias; Chernikov, Artem; Gehret, Allen; Ziegler, Martin Distality in valued fields and related structures. (English) Zbl 1498.03073 Trans. Am. Math. Soc. 375, No. 7, 4641-4710 (2022). Reviewer: Assaf Hasson (Be’er Sheva) MSC: 03C45 03C60 12L12 12J10 03C64 03C10 06F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cluckers, Raf; Halupczok, Immanuel; Rideau-Kikuchi, Silvain Hensel minimality. I. (English) Zbl 1529.03211 Forum Math. Pi 10, Paper No. e11, 68 p. (2022). MSC: 03C64 03C60 12J20 11D88 14E18 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ehrlich, Philip; Kaplan, Elliot Surreal ordered exponential fields. (English) Zbl 1495.03057 J. Symb. Log. 86, No. 3, 1066-1115 (2021); erratum ibid. 87, No. 2, 871 (2022). Reviewer: Lothar Sebastian Krapp (Konstanz) MSC: 03C64 12J15 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cluckers, Raf; Halupczok, Immanuel A \(p\)-adic variant of Kontsevich-Zagier integral operation rules and of Hrushovski-Kazhdan style motivic integration. (English) Zbl 1485.11163 J. Reine Angew. Math. 779, 105-121 (2021). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S80 03C40 12L12 14E18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loi, Ta Lê Hölder-Łojasiewicz inequalities for volumes of tame objects. (English) Zbl 1475.14114 Math. Z. 299, No. 1-2, 941-959 (2021). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14P15 14P10 32B20 × Cite Format Result Cite Review PDF Full Text: DOI
Valette, Guillaume Poincaré duality for \(L^p\) cohomology on subanalytic singular spaces. (English) Zbl 1470.32020 Math. Ann. 380, No. 1-2, 789-823 (2021). MSC: 32B20 32C05 58A07 14P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Valette, Anna; Valette, Guillaume Approximations in globally subanalytic and Denjoy-Carleman classes. (English) Zbl 1467.14142 Adv. Math. 385, Article ID 107764, 32 p. (2021). Reviewer: Fujita Masato (Kure) MSC: 14P10 32B20 41A30 58A07 × Cite Format Result Cite Review PDF Full Text: DOI
Badreddine, Zeinab; Rifford, Ludovic Measure contraction properties for two-step analytic sub-Riemannian structures and Lipschitz Carnot groups. (Propriétés de contraction de la mesure pour les structures sous-riemanniennes analytiques de pas 2 et les groupes de Carnot Lipschitz.) (English. French summary) Zbl 1477.53048 Ann. Inst. Fourier 70, No. 6, 2303-2330 (2020). Reviewer: Scott Zimmerman (Marion) MSC: 53C17 22E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nowak, Krzysztof Jan A closedness theorem over Henselian fields with analytic structure and its applications. (English) Zbl 1460.32047 Gładki, Paweł (ed.) et al., Algebra, logic and number theory. Proceedings of the 5th joint conferences, Będlewo, Poland, June 24–29, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 121, 141-149 (2020). MSC: 32P05 32B05 14G22 03C98 32S45 14E15 × Cite Format Result Cite Review PDF Full Text: DOI
Aizenbud, Avraham; Cluckers, Raf Wave front holonomicity of \(\mathscr{C}^{\text{exp}}\)-class distributions on non-Archimedean logical fields. (English) Zbl 1454.14039 Forum Math. Sigma 8, Paper No. e35, 35 p. (2020). Reviewer: Immanuel Halupczok (Leeds) MSC: 14E18 03C60 11S80 11U09 14G20 14F10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Sfouli, Hassan Some nondefinability results with entire functions in a polynomially bounded o-minimal structure. (English) Zbl 1481.03026 Arch. Math. Logic 59, No. 5-6, 733-741 (2020). MSC: 03C64 03C40 30D15 30D20 × Cite Format Result Cite Review PDF Full Text: DOI
Cubides Kovacsics, Pablo; Haskell, Deirdre Real closed valued fields with analytic structure. (English) Zbl 1469.32014 Proc. Edinb. Math. Soc., II. Ser. 63, No. 1, 249-261 (2020). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 32P05 32B05 03C10 03C64 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nowak, Krzysztof Jan A closedness theorem and applications in geometry of rational points over Henselian valued fields. (English) Zbl 1505.12003 J. Singul. 21, 212-233 (2020). MSC: 12J25 03C10 13J15 14A15 14B05 14G27 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernando, José F. On the set of local extrema of a subanalytic function. (English) Zbl 1439.32021 Collect. Math. 71, No. 1, 1-24 (2020). Reviewer: Tadeusz Krasiński (Łódź) MSC: 32B20 14P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Edmundo, Mário J.; Prelli, Luca The six Grothendieck operations on o-minimal sheaves. (English) Zbl 1485.03133 Math. Z. 294, No. 1-2, 109-160 (2020). MSC: 03C64 14F06 22C99 54B20 55N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen, Kien Huu Uniform rationality of the Poincaré series of definable, analytic equivalence relations on local fields. (English) Zbl 1469.11478 Trans. Am. Math. Soc., Ser. B 6, 274-296 (2019). MSC: 11U09 03C60 03C10 03C98 11M41 11S80 20C15 20E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Binyamini, Gal; Novikov, Dmitry Complex cellular structures. (English) Zbl 1448.14056 Ann. Math. (2) 190, No. 1, 145-248 (2019). Reviewer: Tobias Kaiser (Passau) MSC: 14P10 37B40 03C64 30C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Darnière, Luck Semi-algebraic triangulation over \(p\)-adically closed fields. (English) Zbl 1440.14265 Proc. Lond. Math. Soc. (3) 118, No. 6, 1501-1546 (2019). MSC: 14P10 12J12 32B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pawłucki, Wiesław; Rożen, Zofia An algorithm for regular solutions of systems of exp-subanalytic equations and o-minimality of \(\mathbb{R}_{\text{an} , \exp}\). (English) Zbl 1475.03091 J. Algebra Appl. 18, No. 4, Article ID 1950078, 13 p. (2019). Reviewer: Olivier Le Gal (Le Bourget-du-Lac) MSC: 03C64 14P10 32B20 × Cite Format Result Cite Review PDF Full Text: DOI
Valette, Anna Łojasiewicz inequality at singular points. (English) Zbl 1411.32010 Proc. Am. Math. Soc. 147, No. 3, 1109-1117 (2019). Reviewer: Tadeusz Krasiński (Łódź) MSC: 32B20 58K05 14P15 × Cite Format Result Cite Review PDF Full Text: DOI
Bianconi, Ricardo Model completeness for the Real Field with the Weierstrass \(\wp\) function. (English) Zbl 1475.03084 Proc. Edinb. Math. Soc., II. Ser. 61, No. 3, 811-823 (2018). MSC: 03C10 03C64 03C98 14H52 33E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johnson, Will Interpretable sets in dense o-minimal structures. (English) Zbl 1430.03056 J. Symb. Log. 83, No. 4, 1477-1500 (2018). Reviewer: Beibut Kulpeshov (Almaty) MSC: 03C64 54A05 54F45 06F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cluckers, Raf; Martin, Florent A definable \(p\)-adic analogue of Kirszbraun’s theorem on extensions of Lipschitz maps. (English) Zbl 1436.03196 J. Inst. Math. Jussieu 17, No. 1, 39-57 (2018). MSC: 03C60 03C98 12J25 11S80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shankar, Arul; Wang, Xiaoheng Rational points on hyperelliptic curves having a marked non-Weierstrass point. (English) Zbl 1387.11035 Compos. Math. 154, No. 1, 188-222 (2018). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 14G05 14H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fujita, Masato Closure and connected component of a planar global semianalytic set defined by analytic functions definable in o-minimal structure. (English) Zbl 1454.03045 Arch. Math. 109, No. 6, 529-538 (2017). MSC: 03C64 14P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Forey, Arthur Motivic local density. (English) Zbl 1423.03136 Math. Z. 287, No. 1-2, 361-403 (2017). MSC: 03C98 12J10 14B05 32B20 03C65 11S80 14J17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Binyamini, Gal; Novikov, Dmitry The Pila-Wilkie theorem for subanalytic families: a complex analytic approach. (English) Zbl 1427.11052 Compos. Math. 153, No. 10, 2171-2194 (2017). Reviewer: Paweł Gładki (Katowice) MSC: 11G05 03C64 11U09 14P15 32B05 32B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Veys, Willem; Zúñiga-Galindo, W. A. Zeta functions and oscillatory integrals for meromorphic functions. (English) Zbl 1396.11132 Adv. Math. 311, 295-337 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S80 42B20 11S40 14B05 14E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Binyamini, Gal; Novikov, Dmitry Wilkie’s conjecture for restricted elementary functions. (English) Zbl 1383.11090 Ann. Math. (2) 186, No. 1, 237-275 (2017). Reviewer: Paweł Gładki (Katowice) MSC: 11G99 03C64 11U09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaiser, Tobias Piecewise Weierstrass preparation and division for o-minimal holomorphic functions. (English) Zbl 1377.32007 Proc. Am. Math. Soc. 145, No. 9, 3887-3897 (2017). Reviewer: Armin Rainer (Wien) MSC: 32B05 03C64 32B20 32C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Darnière, Luck; Halupczok, Immanuel Cell decomposition and classification of definable sets in \(p\)-optimal fields. (English) Zbl 1386.03033 J. Symb. Log. 82, No. 1, 120-136 (2017); erratum ibid. 83, No. 4, 1722 (2018). Reviewer: Beibut Kulpeshov (Almaty) MSC: 03C40 12J10 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rideau, Silvain Some properties of analytic difference valued fields. (English) Zbl 1423.03112 J. Inst. Math. Jussieu 16, No. 3, 447-499 (2017). MSC: 03C10 12H10 03C45 32B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hong, Jiuzu; Sun, Binyong Generalized semi-invariant distributions on \(p\)-adic spaces. (English) Zbl 1362.22012 Math. Ann. 367, No. 3-4, 1727-1776 (2017). Reviewer: Ivan Matić (Osijek) MSC: 22E35 20G05 20G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cluckers, Raf; Lipshitz, Leonard Strictly convergent analytic structures. (English) Zbl 1372.32031 J. Eur. Math. Soc. (JEMS) 19, No. 1, 107-149 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 32P05 32B05 32B20 03C10 14P15 32C30 03C98 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nowak, Krzysztof Jan Some results of algebraic geometry over Henselian rank one valued fields. (English) Zbl 1433.14051 Sel. Math., New Ser. 23, No. 1, 455-495 (2017). MSC: 14P10 03C10 14G27 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Cutkosky, Steven Dale Local monomialization of analytic maps. (English) Zbl 1356.32011 Adv. Math. 307, 833-902 (2017). Reviewer: Augusto Nobile (Baton Rouge) MSC: 32S45 32S70 32B99 32S99 14E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cutkosky, Steven Dale Étoiles and valuations. (English) Zbl 1358.14011 J. Pure Appl. Algebra 221, No. 3, 588-610 (2017). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14B25 14E15 13B10 32B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cubides Kovacsics, Pablo; Leenknegt, Eva Integration and cell decomposition in \(P\)-minimal structures. (English) Zbl 1428.03060 J. Symb. Log. 81, No. 3, 1124-1141 (2016). Reviewer: Paweł Gładki (Katowice) MSC: 03C64 03C07 03C10 12J25 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Macpherson, Dugald; Tent, Katrin Profinite groups with NIP theory and \(p\)-adic analytic groups. (English) Zbl 1430.03054 Bull. Lond. Math. Soc. 48, No. 6, 1037-1049 (2016). MSC: 03C60 03C45 20E18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martin, Florent Overconvergent subanalytic subsets in the framework of Berkovich spaces. (English) Zbl 1357.14030 J. Eur. Math. Soc. (JEMS) 18, No. 10, 2405-2457 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 14G22 12J10 32P05 32B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaiser, Tobias Global complexification of real analytic globally subanalytic functions. (English) Zbl 1354.32004 Isr. J. Math. 213, 139-173 (2016). Reviewer: Beibut Kulpeshov (Almaty) MSC: 32B05 32B20 03C64 × Cite Format Result Cite Review PDF Full Text: DOI
Edmundo, Mário J.; Prelli, Luca Sheaves on \(\mathcal T\)-topologies. (English) Zbl 1375.18068 J. Math. Soc. Japan 68, No. 1, 347-381 (2016). MSC: 18F20 18F10 03C64 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Aschenbrenner, Matthias; Dolich, Alf; Haskell, Deirdre; Macpherson, Dugald; Starchenko, Sergei Vapnik-Chervonenkis density in some theories without the independence property. I. (English) Zbl 1423.03119 Trans. Am. Math. Soc. 368, No. 8, 5889-5949 (2016). MSC: 03C45 03C64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Servi, Tamara Multivariable Newton-Puiseux theorem for generalised quasianalytic classes. (Théorème de Newton-Puiseux en plusieurs variables pour les classes quasianalytiques généralisées.) (English. French summary) Zbl 1326.30032 Ann. Inst. Fourier 65, No. 1, 349-368 (2015). MSC: 30D60 32B20 32S45 03C64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cluckers, Raf; Comte, Georges; Loeser, François Non-Archimedean Yomdin-Gromov parametrizations and points of bounded height. (English) Zbl 1393.11032 Forum Math. Pi 3, Paper No. e5, 60 p. (2015). MSC: 11D88 11G50 03C98 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Kuijpers, Tristan Lipschitz extensions of definable \(p\)-adic functions. (English) Zbl 1337.03050 Math. Log. Q. 61, No. 3, 151-158 (2015). Reviewer: Beibut Kulpeshov (Almaty) MSC: 03C60 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rolin, J.-P.; Servi, T. Quantifier elimination and rectilinearization theorem for generalized quasianalytic algebras. (English) Zbl 1317.30046 Proc. Lond. Math. Soc. (3) 110, No. 5, 1207-1247 (2015). MSC: 30D60 32B20 14P15 03C64 32S45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fischer, Andreas On smooth locally o-minimal functions. (English) Zbl 1325.32007 Ill. J. Math. 58, No. 2, 285-309 (2014). Reviewer: Armin Rainer (Wien) MSC: 32B20 14P10 03C64 × Cite Format Result Cite Review PDF Full Text: Euclid
van den Dries, Lou Lectures on the model theory of valued fields. (English) Zbl 1347.03074 Macpherson, H. Dugald (ed.) et al., Model theory in algebra, analysis and arithmetic. Cetraro, Italy 2012. Lectures of the CIME course, Cetraro, Italy, 2012. Heidelberg: Springer; Florence: Fondazione CIME (ISBN 978-3-642-54935-9/pbk; 978-3-642-54936-6/ebook). Lecture Notes in Mathematics 2111. CIME Foundation Subseries, 55-157 (2014). MSC: 03C60 12L12 12J10 × Cite Format Result Cite Review PDF Full Text: DOI
Macpherson, Dugald; Toffalori, Carlo Model theory in algebra, analysis and arithmetic: a preface. (English) Zbl 1326.03045 Macpherson, H. Dugald (ed.) et al., Model theory in algebra, analysis and arithmetic. Cetraro, Italy 2012. Lectures of the CIME course, Cetraro, Italy, 2012. Heidelberg: Springer; Florence: Fondazione CIME (ISBN 978-3-642-54935-9/pbk; 978-3-642-54936-6/ebook). Lecture Notes in Mathematics 2111. CIME Foundation Subseries, 1-11 (2014). MSC: 03C60 03C62 03C64 03C98 × Cite Format Result Cite Review PDF Full Text: DOI
Kuijpers, Tristan; Leenknegt, Eva Differentiation in \(P\)-minimal structures and a \(p\)-adic local monotonicity theorem. (English) Zbl 1353.03034 J. Symb. Log. 79, No. 4, 1133-1147 (2014). MSC: 03C64 12J12 12L12 03C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schoutens, Hans O-minimalism. (English) Zbl 1337.03055 J. Symb. Log. 79, No. 2, 355-409 (2014). MSC: 03C64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cluckers, Raf; Gordon, Julia; Halupczok, Immanuel Integrability of oscillatory functions on local fields: transfer principles. (English) Zbl 1327.14073 Duke Math. J. 163, No. 8, 1549-1600 (2014). MSC: 14E18 22E50 40J99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid Link
Aschenbrenner, Matthias; Goldbring, Isaac Transseries and Todorov-Vernaeve’s asymptotic fields. (English) Zbl 1359.03047 Arch. Math. Logic 53, No. 1-2, 65-87 (2014). MSC: 03H05 03C64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fischer, Andreas; Marshall, Murray Extending piecewise polynomial functions in two variables. (English. French summary) Zbl 1279.14069 Ann. Fac. Sci. Toulouse, Math. (6) 22, No. 2, 253-268 (2013). Reviewer: Niels Schwartz (Passau) MSC: 14P10 03C65 × Cite Format Result Cite Review PDF Full Text: DOI Numdam
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid Link
Mylnikov, A. On the structure of \(p\)-adic subanalytic functions and sets. (English. Russian original) Zbl 1262.32022 J. Math. Sci., New York 186, No. 6, 927-950 (2012); translation from Sovrem. Mat. Prilozh. 75 (2011). MSC: 32P05 32B05 32B20 × Cite Format Result Cite Review PDF Full Text: DOI
Rolin, Jean-Philippe Construction of o-minimal structures from quasianalytic classes. (English) Zbl 1256.32006 Miller, Chris (ed.) et al., Lecture notes on o-minimal structures and real analytic geometry. New York, NY: Springer; Toronto: Fields Institute for Research in Mathematical Sciences (ISBN 978-1-4614-4041-3/hbk; 978-1-4614-4042-0/ebook). Fields Institute Communications 62, 71-109 (2012). MSC: 32B05 03C10 03C64 32B20 26E05 × Cite Format Result Cite Review PDF Full Text: DOI
Miller, Chris Basics of o-minimality and Hardy fields. (English) Zbl 1263.03029 Miller, Chris (ed.) et al., Lecture notes on o-minimal structures and real analytic geometry. New York, NY: Springer; Toronto: Fields Institute for Research in Mathematical Sciences (ISBN 978-1-4614-4041-3/hbk; 978-1-4614-4042-0/ebook). Fields Institute Communications 62, 43-69 (2012). Reviewer: Mickaël Matusinski (Bordeaux) MSC: 03C64 26A12 × Cite Format Result Cite Review PDF Full Text: DOI
Cluckers, Raf; Halupczok, Immanuel Approximations and Lipschitz continuity in \(p\)-adic semi-algebraic and subanalytic geometry. (English) Zbl 1345.03075 Sel. Math., New Ser. 18, No. 4, 825-837 (2012). MSC: 03C98 12J25 03C60 11S80 32B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haskell, Deirdre Model theory of analytic functions: some historical comments. (English) Zbl 1255.03003 Bull. Symb. Log. 18, No. 3, 368-381 (2012). Reviewer: Immanuel Halupczok (Münster) MSC: 03-03 03C60 03C65 03C10 03C64 12L05 12L12 × Cite Format Result Cite Review PDF Full Text: DOI Euclid Link
Cluckers, Raf; Leenknegt, Eva A version of \(p\)-adic minimality. (English) Zbl 1251.03042 J. Symb. Log. 77, No. 2, 621-630 (2012). Reviewer: Immanuel Halupczok (Münster) MSC: 03C64 03C07 03C10 12J12 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Sfouli, Hassan On the elementary theory of restricted real and imaginary parts of holomorphic functions. (English) Zbl 1258.03034 Notre Dame J. Formal Logic 53, No. 1, 67-77 (2012). MSC: 03C10 14P15 32B20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Segers, Dirk; Zúñiga-Galindo, W. A. Exponential sums and polynomial congruences along \(p\)-adic submanifolds. (English) Zbl 1281.11080 Finite Fields Appl. 17, No. 4, 303-316 (2011). Reviewer: Denis Ibadula (Constanta) MSC: 11L05 11D79 11S40 14G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berenstein, Alexander; Dolich, Alf; Onshuus, Alf The independence property in generalized dense pairs of structures. (English) Zbl 1220.03014 J. Symb. Log. 76, No. 2, 391-404 (2011). MSC: 03C45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cluckers, Raf; Miller, Daniel J. Stability under integration of sums of products of real globally subanalytic functions and their logarithms. (English) Zbl 1216.26008 Duke Math. J. 156, No. 2, 311-348 (2011). Reviewer: József Sándor (Cluj-Napoca) MSC: 26B15 14P15 32B20 03C64 14P10 33B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Avendaño, Martín; Ibrahim, Ashraf; Rojas, J. Maurice; Rusek, Korben Randomized NP-completeness for \(p\)-adic rational roots of sparse polynomials in one variable. (English) Zbl 1321.68279 Watt, Stephen M. (ed.), Proceedings of the 35th international symposium on symbolic and algebraic computation, ISSAC 2010, Munich, Germany, July 25–28, 2010. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0150-3). 331-338 (2010). MSC: 68Q17 11S85 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Fırat Çelikler, Y. On some definable sets over fields with analytic structure. (English) Zbl 1227.03047 Ann. Pure Appl. Logic 161, No. 4, 599-616 (2010). Reviewer: Ayhan Günaydın (Lisboa) MSC: 03C60 03C10 12J25 × Cite Format Result Cite Review PDF Full Text: DOI
Le Gal, Olivier A generic condition implying o-minimality for restricted \(C^\infty\)-functions. (English) Zbl 1215.26012 Ann. Fac. Sci. Toulouse, Math. (6) 19, No. 3-4, 479-492 (2010). Reviewer: Sergei V. Rogosin (Minsk) MSC: 26E10 58C25 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Bleybel, Ali \(p\)-adically closed fields with nonstandard analytic structure. (English) Zbl 1206.03037 J. Symb. Log. 75, No. 3, 802-816 (2010). Reviewer: Isaac Goldbring (Los Angeles) MSC: 03C60 03C10 12J12 × Cite Format Result Cite Review PDF Full Text: DOI
Ivanov, Aleksander Isometry types of profinite groups. (English) Zbl 1207.20018 Geom. Dedicata 147, 87-106 (2010). Reviewer: Frank Wagner (Villeurbanne) MSC: 20E18 03C45 20A15 20E08 20E45 03C60 20E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cluckers, Raf; Comte, Georges; Loeser, François Lipschitz continuity properties for \(p\)-adic semi-algebraic and subanalytic functions. (English) Zbl 1220.12003 Geom. Funct. Anal. 20, No. 1, 68-87 (2010). Reviewer: Tobias Kaiser (Passau) MSC: 12J10 03C98 11S80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cluckers, Raf; Loeser, François Constructible exponential functions, motivic Fourier transform and transfer principle. (English) Zbl 1246.14025 Ann. Math. (2) 171, No. 2, 1011-1065 (2010). Reviewer: Immanuel Halupczok (Münster) MSC: 14E18 14G20 03C98 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Gal, Olivier; Rolin, Jean-Philippe An o-minimal structure which does not admit \(C^\infty\) cellular decomposition. (English) Zbl 1193.03065 Ann. Inst. Fourier 59, No. 2, 543-562 (2009). Reviewer: Gareth Jones (Manchester) MSC: 03C64 26A27 57R45 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Kaiser, Tobias The Dirichlet problem in the plane with semianalytic raw data, quasi analyticity, and o-minimal structure. (English) Zbl 1168.03028 Duke Math. J. 147, No. 2, 285-314 (2009). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 32B20 35J25 35C20 37E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Casagrande, Alberto; Piazza, Carla; Policriti, Alberto; Mishra, Bud Inclusion dynamics hybrid automata. (English) Zbl 1153.68400 Inf. Comput. 206, No. 12, 1394-1424 (2008). MSC: 68Q45 × Cite Format Result Cite Review PDF Full Text: DOI
Kaiser, Tobias Dirichlet regularity of subanalytic domains. (English) Zbl 1159.31002 Trans. Am. Math. Soc. 360, No. 12, 6573-6594 (2008). Reviewer: Juhani Riihentaus (Joensuu) MSC: 31B25 32B20 03C64 × Cite Format Result Cite Review PDF Full Text: DOI
Edmundo, Mário J.; Woerheide, Arthur Comparison theorems for o-minimal singular (co)homology. (English) Zbl 1153.03010 Trans. Am. Math. Soc. 360, No. 9, 4889-4912 (2008). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 55N10 × Cite Format Result Cite Review PDF Full Text: DOI
Cluckers, Raf; Loeser, François Constructible motivic functions and motivic integration. (English) Zbl 1179.14011 Invent. Math. 173, No. 1, 23-121 (2008). Reviewer: Immanuel Halupczok (Münster) MSC: 14E18 14G20 03C10 11S85 14B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Çelikler, Y. Fırat Algebraic properties of separated power series. (English) Zbl 1141.13019 Math. Z. 259, No. 3, 681-695 (2008). Reviewer: Gábor Braun (Budapest) MSC: 13J05 14A05 13C15 × Cite Format Result Cite Review PDF Full Text: DOI
Cȩlikler, Y. Firat Parameterized stratification and piece number of \(D\)-semianalytic sets. (English) Zbl 1213.32003 J. Reine Angew. Math. 615, 211-241 (2008). MSC: 32B20 03C10 14P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Gal, Olivier Model completeness in o-minimal polynomially bounded structures. (Modèle complétude des structures o-minimales polynomialement bornées.) (French) Zbl 1130.03029 C. R., Math., Acad. Sci. Paris 346, No. 1-2, 59-62 (2008). MSC: 03C64 × Cite Format Result Cite Review PDF Full Text: DOI
Kaiser, Tobias Definability results for the Poisson equation. (English) Zbl 1137.35019 Adv. Geom. 6, No. 4, 627-644 (2006). Reviewer: Aris Daniilidis (Bellaterra) MSC: 35J05 14P15 32B20 × Cite Format Result Cite Review PDF Full Text: DOI
Cluckers, Raf; Lipshitz, Leonard; Robinson, Zachary Analytic cell decomposition and analytic motivic integration. (English) Zbl 1168.12006 Ann. Sci. Éc. Norm. Supér. (4) 39, No. 4, 535-568 (2006). Reviewer: Luc Bélair (Montréal) MSC: 12J10 03C10 14E18 12L12 14G20 14G27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam Numdam EuDML
Rambaud, Alexandre Quasi-analyticity, o-minimality and quantifier elimination. (Quasi-analyticité, o-minimalité et élimination des quantificateurs.) (French. Abridged English version) Zbl 1097.03031 C. R., Math., Acad. Sci. Paris 343, No. 1, 1-4 (2006). MSC: 03C64 03C10 26E10 32B20 × Cite Format Result Cite Review PDF Full Text: DOI
Miller, Daniel J. A preparation theorem for Weierstrass systems. (English) Zbl 1104.03033 Trans. Am. Math. Soc. 358, No. 10, 4395-4439 (2006). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 14P15 03C10 × Cite Format Result Cite Review PDF Full Text: DOI
Jaikin-Zapirain, A. Zeta function of representations of compact \(p\)-adic analytic groups. (English) Zbl 1092.20023 J. Am. Math. Soc. 19, No. 1, 91-118 (2006). Reviewer: Pavel Zalesskij (Brasília) MSC: 20E18 11M41 20C15 22E35 × Cite Format Result Cite Review PDF Full Text: DOI
Çelikler, Y. Firat Dimension theory and parameterized normalization for \(D\)-semianalytic sets over non-Archimedean fields. (English) Zbl 1119.03028 J. Symb. Log. 70, No. 2, 593-618 (2005). Reviewer: Serban A. Basarab (Bucureşti) MSC: 03C60 12L12 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lipshitz, Leonard; Robinson, Zachary Uniform properties of rigid subanalytic sets. (English) Zbl 1081.03024 Trans. Am. Math. Soc. 357, No. 11, 4349-4377 (2005). MSC: 03C10 32P05 32B20 26E30 03C98 × Cite Format Result Cite Review PDF Full Text: DOI
Cucker, Felipe On sparseness, reducibilities, and complexity. (English) Zbl 1085.03029 Ann. Pure Appl. Logic 134, No. 1, 53-61 (2005). Reviewer: Wolfgang Merkle (Heidelberg) MSC: 03D15 68Q05 68Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Wilkie, A. J. Diophantine properties of sets definable in o-minimal structures. (English) Zbl 1081.03038 J. Symb. Log. 69, No. 3, 851-861 (2004). MSC: 03C64 14P10 32B20 × Cite Format Result Cite Review PDF Full Text: DOI
Cluckers, Raf Analytic \(p\)-adic cell decomposition and integrals. (English) Zbl 1048.11094 Trans. Am. Math. Soc. 356, No. 4, 1489-1499 (2004). Reviewer: Dimitru Busneag (Craiova) MSC: 11S80 32P05 32B20 03C10 03C98 11U09 11S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Macintyre, Angus Model theory: geometrical and set-theoretic aspects and prospects. (English) Zbl 1067.03044 Bull. Symb. Log. 9, No. 2, 197-212 (2003). Reviewer: J. M. Plotkin (East Lansing) MSC: 03Cxx 03-03 01A60 01A67 × Cite Format Result Cite Review PDF Full Text: DOI Euclid