Pawłucki, Wiesław Strict \(\mathcal{C}^p\)-triangulations of sets locally definable in o-minimal structures with an application to a \(\mathcal{C}^p\)-approximation problem. (English) Zbl 07932538 Rev. Mat. Complut. 37, No. 3, 713-722 (2024). MSC: 32B25 03C64 × Cite Format Result Cite Review PDF Full Text: DOI
Pawłucki, Wiesław Strict \(\mathcal{C}^p\)-triangulations – a new approach to desingularization. (English) Zbl 1544.32015 J. Eur. Math. Soc. (JEMS) 26, No. 10, 3863-3909 (2024). MSC: 32B25 03C64 14P10 32B20 32S45 57R05 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Tam Nonsmooth nonconvex stochastic heavy ball. (English) Zbl 07846599 J. Optim. Theory Appl. 201, No. 2, 699-719 (2024). MSC: 68Q25 68W27 49J52 28B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sfouli, Hassan Nondefinability results with entire functions of finite order in polynomially bounded o-minimal structures. (English) Zbl 07832918 Arch. Math. Logic 63, No. 3-4, 491-498 (2024). MSC: 03C64 03C40 30D20 × Cite Format Result Cite Review PDF Full Text: DOI
Belotto da Silva, André; Bierstone, Edward Monomialization of a quasianalytic morphism. (Monomialisation d’un morphisme quasi-analytique.) (English. French summary) Zbl 07827710 Ann. Sci. Éc. Norm. Supér. (4) 56, No. 5, 1583-1651 (2023). MSC: 14P15 26E10 32B20 03C64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tari, Somayyeh A criterion for the strong cell decomposition property. (English) Zbl 07742493 Arch. Math. Logic 62, No. 7-8, 871-887 (2023). MSC: 03C64 × Cite Format Result Cite Review PDF Full Text: DOI
Oudrane, M’hammed Regular projections and regular covers in o-minimal structures. (English) Zbl 1517.32018 Ann. Pol. Math. 130, No. 1, 63-83 (2023). MSC: 32B20 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fujita, Masato Locally o-minimal structures with tame topological properties. (English) Zbl 1518.03006 J. Symb. Log. 88, No. 1, 219-241 (2023). Reviewer: Artur Piękosz (Kraków) MSC: 03C64 03C40 54F45 54E52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ealy, Clifton F.; Maříková, Jana Quantifier elimination for o-minimal structures expanded by a valuational cut. (English) Zbl 1508.03070 Ann. Pure Appl. Logic 174, No. 2, Article ID 103206, 22 p. (2023). Reviewer: Fujita Masato (Kure) MSC: 03C64 03C10 12J25 12J10 12J15 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pierzchała, Rafał Polynomial inequalities, o-minimality and Denjoy-Carleman classes. (English) Zbl 1517.26012 Adv. Math. 407, Article ID 108565, 61 p. (2022). MSC: 26D05 03C64 32B20 41A17 × Cite Format Result Cite Review PDF Full Text: DOI
Fujita, Masato Almost o-minimal structures and \(\mathfrak{X}\)-structures. (English) Zbl 1504.03020 Ann. Pure Appl. Logic 173, No. 9, Article ID 103144, 38 p. (2022). Reviewer: Beibut Kulpeshov (Almaty) MSC: 03C64 14P10 06F15 03C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ha, Truong Xuan Duc; Phạm, Tiến-Sơn Some classical analysis results for continuous definable mappings. (English) Zbl 1509.03115 J. Math. Anal. Appl. 515, No. 1, Article ID 126380, 19 p. (2022). Reviewer: Dorin Andrica (Riyadh) MSC: 03C64 26B10 49J52 58C07 58K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fresan, Javier Hodge theory and o-minimality (after B. Bakker, Y. Brunebarbe, B. Klingler, and J. Tsimerman). (English) Zbl 1490.14022 Séminaire Bourbaki. Volume 2019/2021. Exposés 1166–1180. Avec table par noms d’auteurs de 1948/49 à 2019/21. Paris: Société Mathématique de France (SMF). Astérisque 430, 131-157, Exp. No. 1170 (2021). MSC: 14D07 14C30 03C64 22F30 × Cite Format Result Cite Review PDF Full Text: DOI
Guerrero, Pablo Andújar; Thomas, Margaret E. M.; Walsberg, Erik Directed sets and topological spaces definable in o-minimal structures. (English) Zbl 1490.03022 J. Lond. Math. Soc., II. Ser. 104, No. 3, 989-1010 (2021). Reviewer: Artur Piękosz (Kraków) MSC: 03C64 54A20 54D30 × 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
Fregoli, Reynold On a counting theorem for weakly admissible lattices. (English) Zbl 1481.11095 Int. Math. Res. Not. 2021, No. 10, 7850-7884 (2021). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11P21 03C64 11U09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eleftheriou, Pantelis E. Counting algebraic points in expansions of o-minimal structures by a dense set. (English) Zbl 1472.14065 Q. J. Math. 72, No. 3, 817-833 (2021). Reviewer: Fujita Masato (Kure) MSC: 14P10 14G05 03C64 11U09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loi, Ta Lê Volumes of sub-level sets and the decay of oscillatory integrals. (English) Zbl 1467.32003 J. Math. Inequal. 15, No. 2, 767-779 (2021). MSC: 32B20 42B10 14P15 14P10 03C60 26D15 42A38 × Cite Format Result Cite Review PDF Full Text: DOI
Bierstone, Edward; Campesato, Jean-Baptiste; Milman, Pierre D. \( \mathcal{C}^m\) solutions of semialgebraic or definable equations. (English) Zbl 1473.14108 Adv. Math. 385, Article ID 107777, 24 p. (2021). Reviewer: Fujita Masato (Kure) MSC: 14P10 03C64 26E10 15A54 30D60 32B20 46S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fujita, Masato Dimension inequality for a definably complete uniformly locally o-minimal structure of the second kind. (English) Zbl 1485.03134 J. Symb. Log. 85, No. 4, 1654-1663 (2020). MSC: 03C64 54F45 54E52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berraho, M. Some properties of the polynomially bounded o-minimal expansions of the real field and of some quasianalytic local rings. (English) Zbl 1472.03036 Carpathian Math. Publ. 12, No. 2, 483-491 (2020). Reviewer: Fujita Masato (Kure) MSC: 03C64 14P99 × Cite Format Result Cite Review PDF Full Text: DOI
Bakker, Benjamin; Tsimerman, Jacob Lectures on the Ax-Schanuel conjecture. (English) Zbl 1452.14007 Nicole, Marc-Hubert (ed.), Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaces. Hyperbolicity in Montréal. Based on three workshops, Montréal, Canada, 2018–2019. Cham: Springer. CRM Short Courses, 1-68 (2020). MSC: 14D07 32G20 03C64 11J81 11-02 14-02 × Cite Format Result Cite Review PDF Full Text: DOI
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
Fujita, Masato Uniformly locally o-minimal structures and locally o-minimal structures admitting local definable cell decomposition. (English) Zbl 1435.03062 Ann. Pure Appl. Logic 171, No. 2, Article ID 102756, 26 p. (2020). Reviewer: Beibut Kulpeshov (Almaty) MSC: 03C64 03C07 03C10 03C40 × Cite Format Result Cite Review PDF Full Text: DOI
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
Kocel-Cynk, Beata; Pawłucki, Wiesław; Valette, Anna \(\mathcal{C}^{p}\)-parametrization in o-minimal structures. (English) Zbl 1475.14113 Can. Math. Bull. 62, No. 1, 99-108 (2019). Reviewer: Zofia Denkowska (Angers) MSC: 14P15 03C64 32B20 × Cite Format Result Cite Review PDF Full Text: DOI
Czapla, Małgorzata; Pawłucki, Wiesław Strict \(C^1\)-triangulations in o-minimal structures. (English) Zbl 1423.32011 Topol. Methods Nonlinear Anal. 52, No. 2, 739-747 (2018). Reviewer: Armin Rainer (Wien) MSC: 32B25 14P10 03C64 32B20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Belotto da Silva, André; Bierstone, Edward; Chow, Michael Composite quasianalytic functions. (English) Zbl 1457.30010 Compos. Math. 154, No. 9, 1960-1973 (2018). Reviewer: Armin Rainer (Wien) MSC: 30D60 32B20 03C64 26E10 32S45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Robini, Marc C.; Yang, Feng; Zhu, Yuemin Inexact half-quadratic optimization for linear inverse problems. (English) Zbl 1411.94010 SIAM J. Imaging Sci. 11, No. 2, 1078-1133 (2018). MSC: 94A08 49N45 54C60 65F22 65K05 65K10 90C26 × Cite Format Result Cite Review PDF Full Text: DOI
Scanlon, Thomas Algebraic differential equations from covering maps. (English) Zbl 1423.12008 Adv. Math. 330, 1071-1100 (2018). MSC: 12H05 03C64 14D05 32B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Gal, Olivier; Sanz, Fernando; Speissegger, Patrick Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal. (English) Zbl 1418.37038 Trans. Am. Math. Soc. 370, No. 3, 2211-2229 (2018). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 37C10 37C35 34M40 34C08 03C64 34M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pila, Jonathan A correction to: “Counting rational points on a certain exponential-algebraic surface”. (Une correction au: “Counting rational points on a certain exponential-algebraic surface”.) (English. French summary) Zbl 1434.11125 Ann. Inst. Fourier 67, No. 3, 1277-1278 (2017). MSC: 11G50 03C64 14G05 11J91 × Cite Format Result Cite Review PDF Full Text: DOI
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
Ullmo, Emmanuel; Yafaev, Andrei o-minimal flows on abelian varieties. (English) Zbl 1386.14165 Q. J. Math. 68, No. 2, 359-367 (2017). Reviewer: Victoria Cantoral-Farfán (Trieste) MSC: 14K12 11G10 03C64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Czapla, Małgorzata; Pawłucki, Wiesław Michael’s selection theorem for a mapping definable in an o-minimal structure defined on a set of dimesion 1. (English) Zbl 1372.14050 Topol. Methods Nonlinear Anal. 49, No. 1, 377-380 (2017). MSC: 14P10 54C60 54C65 32B20 49J53 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Igusa, Gregory; Knight, Julia F.; Schweber, Noah David Computing strength of structures related to the field of real numbers. (English) Zbl 1429.03141 J. Symb. Log. 82, No. 1, 137-150 (2017). Reviewer: Valery Plisko (Moskva) MSC: 03C57 03C64 03D45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tari, Somayyeh CE-cell decomposition and open cell property in o-minimal structures. (English) Zbl 1404.03036 Ann. Pure Appl. Logic 168, No. 8, 1564-1570 (2017). Reviewer: Artur Piękosz (Kraków) MSC: 03C64 03C68 03C65 × Cite Format Result Cite Review PDF Full Text: DOI
Frécon, Olivier Linearity of groups definable in o-minimal structures. (English) Zbl 1423.03132 Sel. Math., New Ser. 23, No. 2, 1563-1598 (2017). MSC: 03C64 20G20 20E34 22E15 × Cite Format Result Cite Review PDF Full Text: DOI
Nowak, Krzysztof; Tomkowicz, Grzegorz Intersection of generic rotations in some classical spaces. (English) Zbl 1402.03056 Bull. Pol. Acad. Sci., Math. 64, No. 2-3, 105-107 (2016). MSC: 03C64 03C65 51M05 51M10 × Cite Format Result Cite Review PDF Full Text: DOI
Czapla, Małgorzata; Pawłucki, Wiesław Michael’s theorem for Lipschitz cells in o-minimal structures. (English) Zbl 1354.14084 Ann. Pol. Math. 117, No. 2, 101-107 (2016). MSC: 14P10 54C60 54C65 32B20 49J53 × Cite Format Result Cite Review PDF Full Text: DOI Link
Eivazloo, Jafar S.; Tari, Somayyeh SCE-cell decomposition and OCP in weakly o-minimal structures. (English) Zbl 1348.03034 Notre Dame J. Formal Logic 57, No. 3, 399-410 (2016). Reviewer: Beibut Kulpeshov (Almaty) MSC: 03C64 03C52 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Loi, Ta Lê Łojasiewicz inequalities in o-minimal structures. (English) Zbl 1342.14120 Manuscr. Math. 150, No. 1-2, 59-72 (2016). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14P15 26D20 32B20 × Cite Format Result Cite Review PDF Full Text: DOI
Edmundo, Mário J.; Mamino, Marcello; Prelli, Luca On definably proper maps. (English) Zbl 1353.03033 Fundam. Math. 233, No. 1, 1-36 (2016). Reviewer: Artur Piękosz (Kraków) MSC: 03C64 54C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pierzchała, Rafał Remez-type inequality on sets with cusps. (English) Zbl 1373.41008 Adv. Math. 281, 508-552 (2015). MSC: 41A17 26D07 × Cite Format Result Cite Review PDF Full Text: DOI
Pierzchała, Rafał An estimate for the Siciak extremal function – subanalytic geometry approach. (English) Zbl 1331.32017 J. Math. Anal. Appl. 430, No. 2, 755-776 (2015). Reviewer: Tobias Kaiser (Passau) MSC: 32U35 32B20 03C64 × Cite Format Result Cite Review PDF Full Text: DOI
Fichou, Goulwen; Shiota, Masahiro Continuous mappings between spaces of arcs. (Applications continues entre espaces d’arcs.) (English. French summary) Zbl 1349.14184 Bull. Soc. Math. Fr. 143, No. 2, 315-337 (2015). MSC: 14P15 32B10 03C64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Pila, Jonathan O-minimality and Diophantine geometry. (English) Zbl 1373.11050 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. I: Plenary lectures and ceremonies. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-804-9/hbk; 978-89-6105-803-2/set). 547-572 (2014). MSC: 11G18 03C64 × Cite Format Result Cite Review PDF
Kurdyka, Krzysztof; Pawłucki, Wiesław O-minimal version of Whitney’s extension theorem. (English) Zbl 1318.14052 Stud. Math. 224, No. 1, 81-96 (2014). Reviewer: Tobias Kaiser (Passau) MSC: 14P10 32B20 03C64 14P15 × Cite Format Result Cite Review PDF Full Text: DOI
Baro, Elías; Jaligot, Eric; Otero, Margarita Cartan subgroups of groups definable in o-minimal structures. (English) Zbl 1309.03016 J. Inst. Math. Jussieu 13, No. 4, 849-893 (2014). Reviewer: Philipp Lücke (Bonn) MSC: 03C64 22A05 22E15 20G20 20E34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nowak, Krzysztof Jan A theorem on generic intersections in an o-minimal structure. (English) Zbl 1341.03050 Fundam. Math. 227, No. 1, 21-25 (2014). MSC: 03C64 14P15 22E15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Sfouli, Hassan On a problem concerning quasianalytic local rings. (English) Zbl 1298.26090 Ann. Pol. Math. 111, No. 1, 13-20 (2014). MSC: 26E10 14P20 × Cite Format Result Cite Review PDF Full Text: DOI
Pierzchała, Rafał The Łojasiewicz-Siciak condition of the pluricomplex Green function. (English) Zbl 1286.32016 Potential Anal. 40, No. 1, 41-56 (2014). Reviewer: Zywomir Dinew (Kraków) MSC: 32U35 32B20 03C64 × Cite Format Result Cite Review PDF Full Text: DOI
Kocel-Cynk, Beata; Pawłucki, Wiesław; Valette, Anna A short geometric proof that Hausdorff limits are definable in any o-minimal structure. (English) Zbl 1309.14046 Adv. Geom. 14, No. 1, 49-58 (2014). Reviewer: Gareth Jones (Manchester) MSC: 14P10 32B20 03C64 14P15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fischer, Andreas Approximation of o-minimal maps satisfying a Lipschitz condition. (English) Zbl 1315.03059 Ann. Pure Appl. Logic 165, No. 3, 787-802 (2014). MSC: 03C64 14P99 26B05 × Cite Format Result Cite Review PDF Full Text: DOI
Koike, Satoshi; Loi, Ta Lê; Paunescu, Laurentiu; Shiota, Masahiro Directional properties of sets definable in o-minimal structures. (Propriétés directionnelles d’ensembles définissable dans des structures o-minimales.) (English. French summary) Zbl 1390.14181 Ann. Inst. Fourier 63, No. 5, 2017-2047 (2013). MSC: 14P15 32B20 14P10 57R45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pila, Jonathan Modular Ax-Lindemann-Weierstrass with derivatives. (English) Zbl 1355.11078 Notre Dame J. Formal Logic 54, No. 3-4, 553-565 (2013). MSC: 11J91 03C64 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Piękosz, Artur o-minimal homotopy and generalized (co)homology. (English) Zbl 1285.03039 Rocky Mt. J. Math. 43, No. 2, 573-617 (2013). Reviewer: Gareth Jones (Manchester) MSC: 03C64 55N20 55Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Davis, Ernest Elementarily equivalent structures for topological languages over regions in Euclidean space. (English) Zbl 1285.03038 J. Log. Comput. 23, No. 3, 457-471 (2013). MSC: 03C64 68T27 × Cite Format Result Cite Review PDF Full Text: DOI
Basu, Saugata; Gabrielov, Andrei; Vorobjov, Nicolai Monotone functions and maps. (English) Zbl 1273.14123 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 107, No. 1, 5-33 (2013). Reviewer: Jose Manuel Gamboa (Madrid) MSC: 14P15 57Q99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fornasiero, Antongiulio Locally o-minimal structures and structures with locally o-minimal open core. (English) Zbl 1264.03090 Ann. Pure Appl. Logic 164, No. 3, 211-229 (2013). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 12J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Astier, Vincent Elementary equivalence of lattices of open sets definable in o-minimal expansions of real closed fields. (English) Zbl 1278.03076 Fundam. Math. 220, No. 1, 7-21 (2013). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 12L12 06E05 × Cite Format Result Cite Review PDF Full Text: DOI
Pierzchała, Rafał Markov’s inequality in the o-minimal structure of convergent generalized power series. (English) Zbl 1271.32014 Adv. Geom. 12, No. 4, 647-664 (2012). Reviewer: Marek Jarnicki (Kraków) MSC: 32E30 32B20 03C64 × Cite Format Result Cite Review PDF Full Text: DOI
Jones, G. O.; Thomas, M. E. M.; Wilkie, A. J. Integer-valued definable functions. (English) Zbl 1275.03130 Bull. Lond. Math. Soc. 44, No. 6, 1285-1291 (2012). Reviewer: Mickaël Matusinski (Bordeaux) MSC: 03C64 26E05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kaiser, Tobias First order tameness of measures. (English) Zbl 1308.03048 Ann. Pure Appl. Logic 163, No. 12, 1903-1927 (2012). Reviewer: Gareth Jones (Manchester) MSC: 03C64 28A25 28C15 32B20 × Cite Format Result Cite Review PDF Full Text: DOI
Kaiser, Tobias Conformal mapping of o-minimal corners. (English) Zbl 1277.03037 Analysis, München 32, No. 1, 27-38 (2012). Reviewer: Artur Piȩkosz (Kraków) MSC: 03C64 30C20 30E15 × Cite Format Result Cite Review PDF Full Text: DOI
Baro, Elías; Berarducci, Alessandro Topology of definable abelian groups in o-minimal structures. (English) Zbl 1251.03041 Bull. Lond. Math. Soc. 44, No. 3, 473-479 (2012). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fornasiero, Antongiulio; Servi, Tamara Relative Pfaffian closure for definably complete Baire structures. (English) Zbl 1300.03019 Ill. J. Math. 55, No. 3, 1203-1219 (2011). Reviewer: Artur Piȩkosz (Kraków) MSC: 03C64 58A17 32C05 × Cite Format Result Cite Review PDF Full Text: arXiv Euclid
Point, Françoise On differentially closed ordered fields. (Ensembles définissables dans les corps ordonnés différentiellement clos.) (French. Abridged English version) Zbl 1237.03024 C. R., Math., Acad. Sci. Paris 349, No. 17-18, 929-933 (2011). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 03C60 12L12 × Cite Format Result Cite Review PDF Full Text: DOI
Berarducci, Alessandro; Mamino, Marcello On the homotopy type of definable groups in an o-minimal structure. (English) Zbl 1225.03044 J. Lond. Math. Soc., II. Ser. 83, No. 3, 563-586 (2011). MSC: 03C64 03H05 22E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hrushovski, Ehud; Peterzil, Ya’acov; Pillay, Anand On central extensions and definably compact groups in o-minimal structures. (English) Zbl 1220.03033 J. Algebra 327, No. 1, 71-106 (2011). MSC: 03C64 22C05 22E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jones, G. O.; Miller, D. J.; Thomas, M. E. M. Mildness and the density of rational points on certain transcendental curves. (English) Zbl 1220.03034 Notre Dame J. Formal Logic 52, No. 1, 67-74 (2011). Reviewer: Jonathan Pila (Oxford) MSC: 03C64 11G99 11U09 × Cite Format Result Cite Review PDF Full Text: DOI
Edmundo, Mário J.; Jones, Gareth O.; Peatfield, Nicholas J. Invariance results for definable extensions of groups. (English) Zbl 1222.03042 Arch. Math. Logic 50, No. 1-2, 19-31 (2011). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 20A15 20E99 × Cite Format Result Cite Review PDF Full Text: DOI
Edmundo, Mário J. On the Euler characteristic of definable groups. (English) Zbl 1220.03028 Math. Log. Q. 57, No. 1, 44-46 (2011). MSC: 03C64 20A15 20E99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Verbovskij, V. V. O-stable ordered groups. (Russian, English) Zbl 1249.03077 Mat. Tr. 13, No. 2, 84-127 (2010); translation in Sib. Adv. Math. 22, No. 1, 50-74 (2012). MSC: 03C64 06F15 20F60 × Cite Format Result Cite Review PDF Full Text: DOI
Fischer, Andreas Infinitely Peano differentiable functions in polynomially bounded o-minimal structures. (English) Zbl 1241.03047 Ann. Pure Appl. Logic 161, No. 12, 1520-1524 (2010). MSC: 03C64 26E10 58C20 × Cite Format Result Cite Review PDF Full Text: DOI
Le Loi, Ta An observation on definable bi-Lipschitz homeomorphism. (English) Zbl 1218.14052 Vietnam J. Math. 38, No. 3, 281-286 (2010). MSC: 14P15 32B20 14P10 × Cite Format Result Cite Review PDF Full Text: Link
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
Peterzil, Ya’acov Pillay’s conjecture and its solution – a survey. (English) Zbl 1226.03046 Delon, Françoise (ed.) et al., Logic colloquium 2007. Proceedings of the European summer meeting of the Association for Symbolic Logic, Wrocław, Poland, July 14–19, 2007. Cambridge: Cambridge University Press; Urbana, IL: Association for Symbolic Logic (ASL) (ISBN 978-0-521-76065-2/hbk). Lecture Notes in Logic 35, 177-203 (2010). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 × Cite Format Result Cite Review PDF
Berarducci, A.; Peterzil, Y.; Pillay, A. Group covers, o-minimality, and categoricity. (English) Zbl 1220.03027 Confluentes Math. 2, No. 4, 473-496 (2010). Reviewer: Isaac Goldbring (Los Angeles) MSC: 03C64 03C35 22E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nowak, Krzysztof Jan Division of distributions by locally definable quasianalytic functions. (English) Zbl 1211.14061 Bull. Pol. Acad. Sci., Math. 58, No. 3, 201-208 (2010). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14P15 46F10 × Cite Format Result Cite Review PDF Full Text: DOI
Berarducci, Alessandro; Mamino, Marcello; Otero, Margarita Higher homotopy of groups definable in o-minimal structures. (English) Zbl 1213.03048 Isr. J. Math. 180, 143-161 (2010). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 22E20 55Q99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hasson, Assaf; Onshuus, Alf; Peterzil, Ya’acov Definable structures in o-minimal theories: one dimensional types. (English) Zbl 1213.03050 Isr. J. Math. 179, 363-379 (2010). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 × Cite Format Result Cite Review PDF Full Text: DOI
Hasson, Assaf; Onshuus, Alf; Peterzil, Ya’acov Definable one dimensional structures in o-minimal theories. (English) Zbl 1213.03049 Isr. J. Math. 179, 297-361 (2010). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andrews, Simon Definable open sets as finite unions of definable open cells. (English) Zbl 1208.03041 Notre Dame J. Formal Logic 51, No. 2, 247-251 (2010). MSC: 03C64 × Cite Format Result Cite Review PDF Full Text: DOI
Fischer, Andreas Singularities of o-minimal Peano derivatives. (English) Zbl 1205.03054 Math. Nachr. 283, No. 6, 828-845 (2010). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 26B05 32B20 46G05 × Cite Format Result Cite Review PDF Full Text: DOI
Ioffe, A. D. The principle of Lagrange and critical values of optimization problems. (English) Zbl 1357.49077 Pac. J. Optim. 6, No. 2, 341-352 (2010). MSC: 49J53 58K05 65K10 32B20 90C30 90C31 × Cite Format Result Cite Review PDF
Hasson, Assaf; Onshuus, Alf Embedded o-minimal structures. (English) Zbl 1187.03034 Bull. Lond. Math. Soc. 42, No. 1, 64-74 (2010); corrigendum ibid. 44, No. 3, 615-616 (2012). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 × Cite Format Result Cite Review PDF Full Text: DOI
Bew, David Defining the smooth points of a quotient in polynomially bounded o-minimal structures. (English) Zbl 1184.03031 Bull. Lond. Math. Soc. 42, No. 1, 45-52 (2010). MSC: 03C64 26E10 × Cite Format Result Cite Review PDF Full Text: DOI
Fischer, Andreas Peano differentiable extensions in o-minimal structures. (English) Zbl 1205.03053 Adv. Geom. 10, No. 1, 31-49 (2010). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 26B05 46G05 × Cite Format Result Cite Review PDF Full Text: DOI
Bilski, Marcin; Rusek, Kamil Algebraic approximation of analytic sets definable in an o-minimal structure. (English) Zbl 1211.03055 Ann. Pol. Math. 97, No. 2, 185-200 (2010). Reviewer: Gareth Jones (Manchester) MSC: 03C64 14P99 × Cite Format Result Cite Review PDF Full Text: DOI
Pila, Jonathan On the algebraic points of a definable set. (English) Zbl 1218.11068 Sel. Math., New Ser. 15, No. 1, 151-170 (2009). Reviewer: Michel Waldschmidt (Paris) MSC: 11G99 03C64 11U09 × Cite Format Result Cite Review PDF Full Text: DOI
Kaiser, T.; Rolin, J.-P.; Speissegger, P. Transition maps at non-resonant hyperbolic singularities are o-minimal. (English) Zbl 1203.03051 J. Reine Angew. Math. 636, 1-45 (2009). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 14P15 32B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tressl, Marcus Heirs of box types in polynomially bounded structures. (English) Zbl 1187.03035 J. Symb. Log. 74, No. 4, 1225-1263 (2009). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 13J30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ioffe, A. D. An invitation to tame optimization. (English) Zbl 1182.90083 SIAM J. Optim. 19, No. 4, 1894-1917 (2009). MSC: 90C30 49J53 26E99 58K05 32B20 49K05 26D10 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Eleftheriou, Pantelis E. Compact domination for groups definable in linear o-minimal structures. (English) Zbl 1181.03043 Arch. Math. Logic 48, No. 7, 607-623 (2009). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 03H05 22C05 × Cite Format Result Cite Review PDF Full Text: DOI
Edmundo, Mário J.; Woerheide, Arthur The Lefschetz coincidence theorem in o-minimal expansions of fields. (English) Zbl 1179.55002 Topology Appl. 156, No. 15, 2470-2484 (2009). Reviewer: Xuezhi Zhao (Beijing) MSC: 55M20 03C64 20E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Fischer, Andreas o-minimal analytic separation of sets in dimension 2. (English) Zbl 1173.03034 Ann. Pure Appl. Logic 157, No. 2-3, 130-138 (2009). Reviewer: Zbigniew Hajto (Kraków) MSC: 03C64 32B20 × Cite Format Result Cite Review PDF Full Text: DOI
Kaiser, T. The Riemann mapping theorem for semianalytic domains and o-minimality. (English) Zbl 1168.03027 Proc. Lond. Math. Soc. (3) 98, No. 2, 427-444 (2009). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 30C20 32B20 37E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bolte, Jérôme; Daniilidis, Aris; Lewis, Adrian Tame functions are semismooth. (English) Zbl 1158.49030 Math. Program. 117, No. 1-2 (B), 5-19 (2009). MSC: 49M15 49J52 14P10 90C31 65K10 × Cite Format Result Cite Review PDF Full Text: DOI