Edit Profile (opens in new tab) Kurdyka, Krzysztof Co-Author Distance Author ID: kurdyka.krzysztof Published as: Kurdyka, Krzysztof; Kurdyka, K. External Links: MGP · dblp · GND Documents Indexed: 83 Publications since 1984, including 1 Book 1 Contribution as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 43 Co-Authors with 73 Joint Publications 527 Co-Co-Authors all top 5 Co-Authors 11 single-authored 17 Kucharz, Wojciech 10 Parusiński, Adam 10 Spodzieja, Stanisław 8 Paunescu, Laurentiu 5 Fukui, Toshizumi 4 Coste, Michel 4 Jelonek, Zbigniew 3 D’Acunto, Didier 3 Dinh, Si Tiep 3 Orro, Patrice 3 Pawłucki, Wiesław 3 Raby, Gilles 2 El-Siblani, Ali 2 Gala-Jaskórzyńska, Aleksandra 2 Le Gal, Olivier 2 McCrory, Clint G. 2 Osińska-Ulrych, Beata 2 Rudnicka, Katarzyna 2 Rusek, Kamil 2 Skalski, Grzegorz 2 Szlachcińska, Anna 1 Absil, Pierre-Antoine 1 Basu, Saugata 1 Bekka, Karim 1 Bilski, Marcin 1 Campesato, Jean-Baptiste 1 Denkowska, Zofia Bogumila 1 Fichou, Goulwen 1 Fischer, Andreas 1 Friedman, Harvey M. 1 Gwoździewicz, Janusz 1 Kollár, János 1 Kuta, Katarzyna 1 Łojasiewicz, Stanisław 1 Mangolte, Frédéric 1 Michalska, Maria 1 Miller, Chris 1 Monnier, Jean-Philippe 1 Mostowski, Tadeusz 1 Nguyen, Xuan Viet Nhan 1 Phạm Tiên So’n 1 Poly, Jean-Baptiste 1 Powers, Victoria Ann 1 Quarez, Ronan 1 Rolin, Jean-Philippe 1 Rond, Guillaume 1 Speissegger, Patrick 1 Stasica, Jacek 1 Tiep, Dinh Si 1 Xiao, Jie 1 Zurro, María-Angeles all top 5 Serials 9 Annales Polonici Mathematici 5 Proceedings of the American Mathematical Society 4 Annales de l’Institut Fourier 4 Mathematische Annalen 3 Mathematische Zeitschrift 3 Discrete & Computational Geometry 3 Comptes Rendus de l’Académie des Sciences. Série I 2 Studia Mathematica 2 Bulletin of the London Mathematical Society 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Topology 2 SIAM Journal on Optimization 2 Advances in Geometry 2 Panoramas et Synthèses 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 The Journal of Symbolic Logic 1 Topology and its Applications 1 Systems & Control Letters 1 Revista Matemática de la Universidad Complutense de Madrid 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Journal of Algebraic Geometry 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Bulletin de la Société des Sciences et des Lettres de Łódź. Série: Recherches sur les Déformations 1 Annals of Mathematics. Second Series 1 Journal of Dynamical and Control Systems 1 Pure and Applied Mathematics Quarterly 1 Journal of Singularities 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Acta Mathematica all top 5 Fields 61 Algebraic geometry (14-XX) 52 Several complex variables and analytic spaces (32-XX) 17 Real functions (26-XX) 16 Global analysis, analysis on manifolds (58-XX) 7 Field theory and polynomials (12-XX) 6 Mathematical logic and foundations (03-XX) 4 Commutative algebra (13-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 65 Publications have been cited 830 times in 565 Documents Cited by ▼ Year ▼ On gradients of functions definable in o-minimal structures. Zbl 0934.32009Kurdyka, Krzysztof 180 1998 Proof of the gradient conjecture of R. Thom. Zbl 1053.37008Kurdyka, Krzysztof; Mostowski, Tadeusz; Parusiński, Adam 52 2000 Ensembles semi-algébriques symétriques par arcs. (Semi-algebraic sets symmetric by arcs). Zbl 0686.14027Kurdyka, Krzysztof 50 1988 Semialgebraic Sard theorem for generalized critical values. Zbl 1067.58031Kurdyka, K.; Orro, P.; Simon, S. 47 2000 On the stable equilibrium points of gradient systems. Zbl 1129.34320Absil, P.-A.; Kurdyka, K. 40 2006 Densité des ensembles sous-analytiques. (On the density of subanalytic sets). Zbl 0673.32015Kurdyka, K.; Raby, G. 35 1989 Explicit bounds for the Łojasiewicz exponent in the gradient inequality for polynomials. Zbl 1093.32011D’Acunto, Didier; Kurdyka, Krzysztof 33 2005 On a subanalytic stratification satisfying a Whitney property with exponent 1. Zbl 0779.32006Kurdyka, Krzysztof 27 1992 \(w_ f\)-stratification of subanalytic functions and the Łojasiewicz inequality. Zbl 0799.32007Kurdyka, Krzysztof; Parusiński, Adam 25 1994 Arc-symmetric sets and arc-analytic mappings. Zbl 1144.14304Kurdyka, Krzysztof; Parusiński, Adam 23 2007 Separation of real algebraic sets and the Łojasiewicz exponent. Zbl 1305.32002Kurdyka, Krzysztof; Spodzieja, Stanisław 20 2014 Curve-rational functions. Zbl 1407.14056Kollár, János; Kucharz, Wojciech; Kurdyka, Krzysztof 18 2018 On asymptotic critical values of a complex polynomial. Zbl 1047.32019Jelonek, Zbigniew; Kurdyka, Krzysztof 18 2003 Point réguliers d’un sous-analytique. (Regular points of a subanalytic set). Zbl 0619.32007Kurdyka, Krzysztof 16 1988 Reaching generalized critical values of a polynomial. Zbl 1288.14044Jelonek, Zbigniew; Kurdyka, Krzysztof 14 2014 Quantitative generalized Bertini-Sard theorem for smooth affine varieties. Zbl 1083.14069Jelonek, Zbigniew; Kurdyka, Krzysztof 13 2005 Hyperbolic polynomials and multiparameter real-analytic perturbation theory. Zbl 1140.15006Kurdyka, Krzysztof; Paunescu, Laurentiu 13 2008 Geodesic distance on a subanalytic set. (Distance géodésique sur un sous-analytique.) Zbl 0911.32010Kurdyka, Krzysztof; Orro, Patrice 12 1997 Subanalytic version of Whitney’s extension theorem. Zbl 0955.32006Kurdyka, Krzysztof; Pawłucki, Wiesław 11 1997 Stratified-algebraic vector bundles. Zbl 1410.14045Kucharz, Wojciech; Kurdyka, Krzysztof 11 2018 Surjectivity of certain injective semialgebraic transformations of \({\mathbb{R}}\) n. Zbl 0641.14010Kurdyka, Krzysztof; Rusek, Kamil 10 1988 Bounds for gradient trajectories and geodesic diameter of real algebraic sets. Zbl 1106.14046D’Acunto, D.; Kurdyka, K. 10 2006 Quasi-convex decomposition in o-minimal structures. Application to the gradient conjecture. Zbl 1132.32004Kurdyka, Krzysztof; Parusiński, Adam 10 2006 From continuous rational to regulous functions. Zbl 1441.14191Kucharz, Wojciech; Kurdyka, Krzysztof 8 2018 Linear equations on real algebraic surfaces. Zbl 1386.14202Kucharz, Wojciech; Kurdyka, Krzysztof 8 2017 An inverse mapping theorem for arc-analytic homeomorphisms. Zbl 1070.32005Fukui, Toshizumi; Kurdyka, Krzysztof; Paunescu, Laurentiu 8 2004 On the link of a stratum in a real algebraic set. Zbl 0787.14038Coste, Michel; Kurdyka, Krzysztof 8 1992 Łojasiewicz inequality on non-compact domains and singularities at infinity. Zbl 1282.14100Tiep, Dinh Si; Kurdyka, Krzysztof; Le Gal, Olivier 8 2013 Expansions of the real field by open sets: definability versus interpretability. Zbl 1220.03030Friedman, Harvey; Kurdyka, Krzysztof; Miller, Chris; Speissegger, Patrick 7 2010 An arc-analytic function with nondiscrete singular set. Zbl 0804.32007Kurdyka, Krzysztof 6 1994 Convexifying positive polynomials and sums of squares approximation. Zbl 1331.11025Kurdyka, Krzysztof; Spodzieja, Stanisław 5 2015 O-minimal version of Whitney’s extension theorem. Zbl 1318.14052Kurdyka, Krzysztof; Pawłucki, Wiesław 5 2014 Metric properties of semialgebraic mappings. Zbl 1349.14182Kurdyka, Krzysztof; Spodzieja, Stanisław; Szlachcińska, Anna 5 2016 Arc-analytic roots of analytic functions are Lipschitz. Zbl 1043.32002Kurdyka, Krzysztof; Paunescu, Laurentiu 5 2004 Distinguish stratifications as a tool in semi-analytic geometry. (Stratifications distinguées comme outil en géométrie semi- analytique.) Zbl 0817.32005Kurdyka, K.; Łojasiewicz, Stanisław; Zurro, Maria-A. 5 1995 Bifurcation values and stability of algebras of bounded polynomials. Zbl 1306.14028Kurdyka, Krzysztof; Michalska, Maria; Spodzieja, Stanisław 4 2014 Arc-analyticity is an open property. Zbl 1086.32009Kurdyka, Krzysztof; Paunescu, Laurentiu 4 2005 Injective endomorphisms of real algebraic sets are surjective. Zbl 0933.14036Kurdyka, Krzysztof 4 1999 A counterexample to subanalyticity of an arc-analytic function. Zbl 0752.32005Kurdyka, Krzysztof 4 1991 On the non-analyticity locus of an arc-analytic function. Zbl 1271.32033Kurdyka, Krzysztof; Parusiński, Adam 4 2012 Complexification of algebraic models of smooth manifolds. Zbl 1250.14038Kucharz, Wojciech; Kurdyka, Krzysztof 4 2011 Some conjectures on continuous rational maps into spheres. Zbl 1338.14054Kucharz, Wojciech; Kurdyka, Krzysztof 3 2016 The discriminant of a morphism of real algebraic manifolds. (Le discriminant d’un morphisme de variétés algébriques réelles.) Zbl 0942.14031Coste, Michel; Kurdyka, Krzysztof 3 1998 Une propriété métrique des fibres d’un sous-analytique. (A metric property of the fibres of a subanalytic set). Zbl 0578.32015Denkowska, Zofia; Kurdyka, K. 2 1984 Separately Nash and arc-Nash functions over real closed fields. Zbl 1465.14054Kucharz, Wojciech; Kurdyka, Krzysztof; El-Siblani, Ali 2 2021 John functions, quadratic integral forms and \(o\)-minimal structures. Zbl 1040.31004Kurdyka, K.; Xiao, J. 2 2002 Des applications du théorème de Puiseux dans la théorie des ensembles semi-analytiques dans \({\mathbb{R}}^ 2\). (Applications of the theorem of Puiseux in the theory of semi-analytic sets in \({\mathbb{R}}^ 2)\). Zbl 0639.32006Kurdyka, Krzysztof 2 1987 Higher order approximation of analytic sets by topologically equivalent algebraic sets. Zbl 1393.32012Bilski, Marcin; Kurdyka, Krzysztof; Parusiński, Adam; Rond, Guillaume 2 2018 Effective Łojasiewicz gradient inequality for generic Nash functions with isolated singularity. Zbl 1380.32010Kurdyka, Krzysztof; Osińska-Ulrych, Beata; Skalski, Grzegorz; Spodzieja, Stanisław 2 2016 Arc spaces and additive invariants in real algebraic and analytic geometry. Zbl 1155.14313Coste, Michel; Fukui, Toshizumi; Kurdyka, Krzysztof; McCrory, Clint; Parusiński, Adam; Paunescu, Laurentiu 2 2007 Polynomial-rational bijections of \({\mathbb{R}}^ n\). Zbl 0718.13006Kurdyka, Krzysztof; Rusek, Kamil 2 1988 On the number of solutions of an algebraic equation on the curve \(y = e^{x} +\sin x, x>0\), and a consequence for o-minimal structures. Zbl 0916.03026Gwozdziewicz, Janusz; Kurdyka, Krzysztof; Parusinski, Adam 2 1999 On the gradient conjecture of R. Thom. Zbl 0959.32012Kurdyka, Krzysztof 2 2000 Tame nonsmooth inverse mapping theorems. Zbl 1203.26019Fukui, Toshizumi; Kurdyka, Krzysztof; Paunescu, Laurentiu 2 2009 Horizontal gradient of polynomials. (Gradient horizontal de fonctions polynomiales.) Zbl 1197.14058Dinh, Si Tiep; Kurdyka, Krzysztof; Orro, Patrice 2 2009 Comparison of stratified-algebraic and topological K-theory. Zbl 1455.14112Kucharz, Wojciech; Kurdyka, Krzysztof 2 2020 Algebraicity of global real analytic hypersurfaces. Zbl 1152.14310Kucharz, Wojciech; Kurdyka, Krzysztof 1 2006 Rational representation of real functions. Zbl 1460.14126Kucharz, Wojciech; Kurdyka, Krzysztof 1 2021 Nuij type pencils of hyperbolic polynomials. Zbl 1392.30003Kurdyka, Krzysztof; Paunescu, Laurentiu 1 2017 Real algebraic geometry. Zbl 1375.14006 1 2017 Moyennes des fonctions sous-analytiques, densité, cône tangent et tranches. (Means of sub-analytic functions, density, tangent cones and fibres). Zbl 0694.32001Kurdyka, K.; Poly, J. B.; Raby, G. 1 1990 Subanalytic blow-\({\mathcal C}^m\) functions. Zbl 1178.32007Fischer, Andreas; Kurdyka, Krzysztof 1 2009 Analytic arcs and real analytic singularities. Zbl 1403.14091Kurdyka, Krzysztof 1 2017 Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets. Zbl 1436.14094Campesato, Jean-Baptiste; Fukui, Toshizumi; Kurdyka, Krzysztof; Parusiński, Adam 1 2019 Global mixed Łojasiewicz inequalities and asymptotic critical values. Zbl 1430.14107Ðinh, Sĩ-Tiệp; Kurdyka, Krzysztof; Phạm, Tiến-So’n 1 2019 Separately Nash and arc-Nash functions over real closed fields. Zbl 1465.14054Kucharz, Wojciech; Kurdyka, Krzysztof; El-Siblani, Ali 2 2021 Rational representation of real functions. Zbl 1460.14126Kucharz, Wojciech; Kurdyka, Krzysztof 1 2021 Comparison of stratified-algebraic and topological K-theory. Zbl 1455.14112Kucharz, Wojciech; Kurdyka, Krzysztof 2 2020 Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets. Zbl 1436.14094Campesato, Jean-Baptiste; Fukui, Toshizumi; Kurdyka, Krzysztof; Parusiński, Adam 1 2019 Global mixed Łojasiewicz inequalities and asymptotic critical values. Zbl 1430.14107Ðinh, Sĩ-Tiệp; Kurdyka, Krzysztof; Phạm, Tiến-So’n 1 2019 Curve-rational functions. Zbl 1407.14056Kollár, János; Kucharz, Wojciech; Kurdyka, Krzysztof 18 2018 Stratified-algebraic vector bundles. Zbl 1410.14045Kucharz, Wojciech; Kurdyka, Krzysztof 11 2018 From continuous rational to regulous functions. Zbl 1441.14191Kucharz, Wojciech; Kurdyka, Krzysztof 8 2018 Higher order approximation of analytic sets by topologically equivalent algebraic sets. Zbl 1393.32012Bilski, Marcin; Kurdyka, Krzysztof; Parusiński, Adam; Rond, Guillaume 2 2018 Linear equations on real algebraic surfaces. Zbl 1386.14202Kucharz, Wojciech; Kurdyka, Krzysztof 8 2017 Nuij type pencils of hyperbolic polynomials. Zbl 1392.30003Kurdyka, Krzysztof; Paunescu, Laurentiu 1 2017 Real algebraic geometry. Zbl 1375.14006 1 2017 Analytic arcs and real analytic singularities. Zbl 1403.14091Kurdyka, Krzysztof 1 2017 Metric properties of semialgebraic mappings. Zbl 1349.14182Kurdyka, Krzysztof; Spodzieja, Stanisław; Szlachcińska, Anna 5 2016 Some conjectures on continuous rational maps into spheres. Zbl 1338.14054Kucharz, Wojciech; Kurdyka, Krzysztof 3 2016 Effective Łojasiewicz gradient inequality for generic Nash functions with isolated singularity. Zbl 1380.32010Kurdyka, Krzysztof; Osińska-Ulrych, Beata; Skalski, Grzegorz; Spodzieja, Stanisław 2 2016 Convexifying positive polynomials and sums of squares approximation. Zbl 1331.11025Kurdyka, Krzysztof; Spodzieja, Stanisław 5 2015 Separation of real algebraic sets and the Łojasiewicz exponent. Zbl 1305.32002Kurdyka, Krzysztof; Spodzieja, Stanisław 20 2014 Reaching generalized critical values of a polynomial. Zbl 1288.14044Jelonek, Zbigniew; Kurdyka, Krzysztof 14 2014 O-minimal version of Whitney’s extension theorem. Zbl 1318.14052Kurdyka, Krzysztof; Pawłucki, Wiesław 5 2014 Bifurcation values and stability of algebras of bounded polynomials. Zbl 1306.14028Kurdyka, Krzysztof; Michalska, Maria; Spodzieja, Stanisław 4 2014 Łojasiewicz inequality on non-compact domains and singularities at infinity. Zbl 1282.14100Tiep, Dinh Si; Kurdyka, Krzysztof; Le Gal, Olivier 8 2013 On the non-analyticity locus of an arc-analytic function. Zbl 1271.32033Kurdyka, Krzysztof; Parusiński, Adam 4 2012 Complexification of algebraic models of smooth manifolds. Zbl 1250.14038Kucharz, Wojciech; Kurdyka, Krzysztof 4 2011 Expansions of the real field by open sets: definability versus interpretability. Zbl 1220.03030Friedman, Harvey; Kurdyka, Krzysztof; Miller, Chris; Speissegger, Patrick 7 2010 Tame nonsmooth inverse mapping theorems. Zbl 1203.26019Fukui, Toshizumi; Kurdyka, Krzysztof; Paunescu, Laurentiu 2 2009 Horizontal gradient of polynomials. (Gradient horizontal de fonctions polynomiales.) Zbl 1197.14058Dinh, Si Tiep; Kurdyka, Krzysztof; Orro, Patrice 2 2009 Subanalytic blow-\({\mathcal C}^m\) functions. Zbl 1178.32007Fischer, Andreas; Kurdyka, Krzysztof 1 2009 Hyperbolic polynomials and multiparameter real-analytic perturbation theory. Zbl 1140.15006Kurdyka, Krzysztof; Paunescu, Laurentiu 13 2008 Arc-symmetric sets and arc-analytic mappings. Zbl 1144.14304Kurdyka, Krzysztof; Parusiński, Adam 23 2007 Arc spaces and additive invariants in real algebraic and analytic geometry. Zbl 1155.14313Coste, Michel; Fukui, Toshizumi; Kurdyka, Krzysztof; McCrory, Clint; Parusiński, Adam; Paunescu, Laurentiu 2 2007 On the stable equilibrium points of gradient systems. Zbl 1129.34320Absil, P.-A.; Kurdyka, K. 40 2006 Bounds for gradient trajectories and geodesic diameter of real algebraic sets. Zbl 1106.14046D’Acunto, D.; Kurdyka, K. 10 2006 Quasi-convex decomposition in o-minimal structures. Application to the gradient conjecture. Zbl 1132.32004Kurdyka, Krzysztof; Parusiński, Adam 10 2006 Algebraicity of global real analytic hypersurfaces. Zbl 1152.14310Kucharz, Wojciech; Kurdyka, Krzysztof 1 2006 Explicit bounds for the Łojasiewicz exponent in the gradient inequality for polynomials. Zbl 1093.32011D’Acunto, Didier; Kurdyka, Krzysztof 33 2005 Quantitative generalized Bertini-Sard theorem for smooth affine varieties. Zbl 1083.14069Jelonek, Zbigniew; Kurdyka, Krzysztof 13 2005 Arc-analyticity is an open property. Zbl 1086.32009Kurdyka, Krzysztof; Paunescu, Laurentiu 4 2005 An inverse mapping theorem for arc-analytic homeomorphisms. Zbl 1070.32005Fukui, Toshizumi; Kurdyka, Krzysztof; Paunescu, Laurentiu 8 2004 Arc-analytic roots of analytic functions are Lipschitz. Zbl 1043.32002Kurdyka, Krzysztof; Paunescu, Laurentiu 5 2004 On asymptotic critical values of a complex polynomial. Zbl 1047.32019Jelonek, Zbigniew; Kurdyka, Krzysztof 18 2003 John functions, quadratic integral forms and \(o\)-minimal structures. Zbl 1040.31004Kurdyka, K.; Xiao, J. 2 2002 Proof of the gradient conjecture of R. Thom. Zbl 1053.37008Kurdyka, Krzysztof; Mostowski, Tadeusz; Parusiński, Adam 52 2000 Semialgebraic Sard theorem for generalized critical values. Zbl 1067.58031Kurdyka, K.; Orro, P.; Simon, S. 47 2000 On the gradient conjecture of R. Thom. Zbl 0959.32012Kurdyka, Krzysztof 2 2000 Injective endomorphisms of real algebraic sets are surjective. Zbl 0933.14036Kurdyka, Krzysztof 4 1999 On the number of solutions of an algebraic equation on the curve \(y = e^{x} +\sin x, x>0\), and a consequence for o-minimal structures. Zbl 0916.03026Gwozdziewicz, Janusz; Kurdyka, Krzysztof; Parusinski, Adam 2 1999 On gradients of functions definable in o-minimal structures. Zbl 0934.32009Kurdyka, Krzysztof 180 1998 The discriminant of a morphism of real algebraic manifolds. (Le discriminant d’un morphisme de variétés algébriques réelles.) Zbl 0942.14031Coste, Michel; Kurdyka, Krzysztof 3 1998 Geodesic distance on a subanalytic set. (Distance géodésique sur un sous-analytique.) Zbl 0911.32010Kurdyka, Krzysztof; Orro, Patrice 12 1997 Subanalytic version of Whitney’s extension theorem. Zbl 0955.32006Kurdyka, Krzysztof; Pawłucki, Wiesław 11 1997 Distinguish stratifications as a tool in semi-analytic geometry. (Stratifications distinguées comme outil en géométrie semi- analytique.) Zbl 0817.32005Kurdyka, K.; Łojasiewicz, Stanisław; Zurro, Maria-A. 5 1995 \(w_ f\)-stratification of subanalytic functions and the Łojasiewicz inequality. Zbl 0799.32007Kurdyka, Krzysztof; Parusiński, Adam 25 1994 An arc-analytic function with nondiscrete singular set. Zbl 0804.32007Kurdyka, Krzysztof 6 1994 On a subanalytic stratification satisfying a Whitney property with exponent 1. Zbl 0779.32006Kurdyka, Krzysztof 27 1992 On the link of a stratum in a real algebraic set. Zbl 0787.14038Coste, Michel; Kurdyka, Krzysztof 8 1992 A counterexample to subanalyticity of an arc-analytic function. Zbl 0752.32005Kurdyka, Krzysztof 4 1991 Moyennes des fonctions sous-analytiques, densité, cône tangent et tranches. (Means of sub-analytic functions, density, tangent cones and fibres). Zbl 0694.32001Kurdyka, K.; Poly, J. B.; Raby, G. 1 1990 Densité des ensembles sous-analytiques. (On the density of subanalytic sets). Zbl 0673.32015Kurdyka, K.; Raby, G. 35 1989 Ensembles semi-algébriques symétriques par arcs. (Semi-algebraic sets symmetric by arcs). Zbl 0686.14027Kurdyka, Krzysztof 50 1988 Point réguliers d’un sous-analytique. (Regular points of a subanalytic set). Zbl 0619.32007Kurdyka, Krzysztof 16 1988 Surjectivity of certain injective semialgebraic transformations of \({\mathbb{R}}\) n. Zbl 0641.14010Kurdyka, Krzysztof; Rusek, Kamil 10 1988 Polynomial-rational bijections of \({\mathbb{R}}^ n\). Zbl 0718.13006Kurdyka, Krzysztof; Rusek, Kamil 2 1988 Des applications du théorème de Puiseux dans la théorie des ensembles semi-analytiques dans \({\mathbb{R}}^ 2\). (Applications of the theorem of Puiseux in the theory of semi-analytic sets in \({\mathbb{R}}^ 2)\). Zbl 0639.32006Kurdyka, Krzysztof 2 1987 Une propriété métrique des fibres d’un sous-analytique. (A metric property of the fibres of a subanalytic set). Zbl 0578.32015Denkowska, Zofia; Kurdyka, K. 2 1984 all cited Publications top 5 cited Publications all top 5 Cited by 631 Authors 32 Kurdyka, Krzysztof 27 Phạm Tiên So’n 18 Kucharz, Wojciech 16 Parusiński, Adam 15 Bolte, Jérôme 15 Spodzieja, Stanisław 11 Boţ, Radu Ioan 11 Jelonek, Zbigniew 11 Valette, Guillaume 10 Dinh, Si Tiep 10 Paunescu, Laurentiu 9 Daniilidis, Aris 9 Fichou, Goulwen 9 Koike, Satoshi 9 Sampaio, José Edson 9 Valette-Stasica, Anna 9 Wu, Chunlin 8 Csetnek, Ernö Robert 8 Fischer, Andreas 8 Patrinos, Panagiotis 7 Ahookhosh, Masoud 7 Dias, Luis Renato Gonçalves 7 Fernandes, Alexandre Cesar Gurgel 7 Ferrarotti, Massimo 7 Grandjean, Vincent 7 Li, Guoyin 7 Rodak, Tomasz 7 Sabach, Shoham 7 Teboulle, Marc 6 Birbrair, Lev 6 Hà Huy Vui 6 Pauwels, Edouard Jean Robert 6 Pawłucki, Wiesław 6 Priziac, Fabien 6 Rainer, Armin 6 Skalski, Grzegorz 6 Soubeyran, Antoine 6 Szafraniec, Zbigniew 5 Bilski, Marcin 5 Campesato, Jean-Baptiste 5 da Cruz Neto, João Xavier 5 Fernando, José F. 5 Fortuna, Elisabetta 5 Hieronymi, Philipp 5 László, Csaba Szilárd 5 Loi, Ta Le 5 Monnier, Jean-Philippe 5 Ochs, Peter 5 Oliveira, Paulo Roberto 5 Osińska-Ulrych, Beata 5 Themelis, Andreas 5 Tibăr, Mihai-Marius 5 Wu, Zhongming 4 Bochnak, Jacek 4 Comte, Georges 4 Ioffe, Alexander Davidovich 4 Kollár, János 4 Lewis, Adrian S. 4 Miller, Chris 4 Neumann, Walter David 4 Ng, Michael Kwok-Po 4 Pichon, Anne 4 Rond, Guillaume 4 Sanz Sánchez, Fernando 4 Venato-Santos, Jean 4 Xu, Yangyang 4 Zhang, Xiaoqun 3 Adamus, Janusz 3 Ahn, Hyo-Sung 3 Anderson, Brian David Outram 3 Bento, Glaydston C. 3 Bierstone, Edward 3 Chill, Ralph 3 Chouzenoux, Emilie 3 Drusvyatskiy, Dmitriy 3 Dutertre, Nicolas 3 Gillis, Nicolas 3 Han, Deren 3 Helmke, Uwe R. 3 Hien, Le Thi Khanh 3 Hu, ShengLong 3 Jendoubi, Mohamed Ali 3 Kaiser, Tobias 3 Knyazhishche, Leonid Boleslavovich 3 Lageman, Christian 3 Ley, Olivier 3 Li, Min 3 Li, Zhuchun 3 McCrory, Clint G. 3 Milman, Pierre D. 3 Mordukhovich, Boris S. 3 Nguyen, Tat Thang 3 Nowak, Krzysztof Jan 3 Nowel, Aleksandra 3 Pesquet, Jean-Christophe 3 Prato, Marco 3 Quarez, Ronan 3 Repetti, Audrey 3 Shiota, Masahiro 3 Sun, Tao ...and 531 more Authors all top 5 Cited in 178 Serials 24 Annales de l’Institut Fourier 23 Mathematical Programming. Series A. Series B 21 Proceedings of the American Mathematical Society 20 Journal of Optimization Theory and Applications 20 Mathematische Zeitschrift 17 SIAM Journal on Optimization 15 Mathematische Annalen 11 Journal of Mathematical Analysis and Applications 11 Advances in Mathematics 10 Annales Polonici Mathematici 9 Transactions of the American Mathematical Society 9 Journal of Global Optimization 9 Bulletin des Sciences Mathématiques 9 SIAM Journal on Imaging Sciences 8 Automatica 8 Manuscripta Mathematica 7 Journal of Differential Equations 7 Journal of Scientific Computing 7 Computational Optimization and Applications 7 Selecta Mathematica. New Series 6 Israel Journal of Mathematics 6 Archiv der Mathematik 6 Mathematics of Operations Research 6 Topology and its Applications 6 Annals of Pure and Applied Logic 6 Discrete & Computational Geometry 6 Set-Valued and Variational Analysis 5 Journal of Computational and Applied Mathematics 5 Journal of the Mathematical Society of Japan 5 Journal of Pure and Applied Algebra 5 The Journal of Geometric Analysis 5 Journal of Mathematical Imaging and Vision 5 Journal of Singularities 4 Bulletin of the London Mathematical Society 4 Illinois Journal of Mathematics 4 Journal of Functional Analysis 4 Journal of Algebraic Geometry 4 Foundations of Computational Mathematics 3 Inverse Problems 3 Acta Mathematica Vietnamica 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Applied Mathematics and Computation 3 Compositio Mathematica 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Nachrichten 3 Proceedings of the Japan Academy. Series A 3 Systems & Control Letters 3 Asia-Pacific Journal of Operational Research 3 International Journal of Mathematics 3 Linear Algebra and its Applications 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Advances in Computational Mathematics 3 Geometry & Topology 3 Journal of Machine Learning Research (JMLR) 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of the Operations Research Society of China 2 Periodica Mathematica Hungarica 2 Reviews in Mathematical Physics 2 Applied Mathematics and Optimization 2 Bulletin de la Société Mathématique de France 2 Publications Mathématiques 2 Inventiones Mathematicae 2 Nagoya Mathematical Journal 2 SIAM Journal on Control and Optimization 2 Journal of Complexity 2 Revista Matemática Iberoamericana 2 MCSS. Mathematics of Control, Signals, and Systems 2 Differential Geometry and its Applications 2 International Journal of Computer Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Stochastic Processes and their Applications 2 Potential Analysis 2 Topological Methods in Nonlinear Analysis 2 Applied and Computational Harmonic Analysis 2 Journal of Convex Analysis 2 The Journal of Fourier Analysis and Applications 2 Optimization Methods & Software 2 Qualitative Theory of Dynamical Systems 2 Differential Equations 2 Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the Brazilian Mathematical Society. New Series 2 SIAM Journal on Applied Dynamical Systems 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 European Journal of Mathematics 2 SIAM Journal on Mathematics of Data Science 1 American Mathematical Monthly 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin ...and 78 more Serials all top 5 Cited in 49 Fields 225 Algebraic geometry (14-XX) 168 Operations research, mathematical programming (90-XX) 163 Several complex variables and analytic spaces (32-XX) 111 Numerical analysis (65-XX) 88 Calculus of variations and optimal control; optimization (49-XX) 69 Real functions (26-XX) 67 Global analysis, analysis on manifolds (58-XX) 48 Mathematical logic and foundations (03-XX) 38 Ordinary differential equations (34-XX) 36 Dynamical systems and ergodic theory (37-XX) 33 Manifolds and cell complexes (57-XX) 31 Computer science (68-XX) 25 Differential geometry (53-XX) 23 Operator theory (47-XX) 23 Information and communication theory, circuits (94-XX) 18 Commutative algebra (13-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 16 Field theory and polynomials (12-XX) 15 Systems theory; control (93-XX) 13 Partial differential equations (35-XX) 12 Number theory (11-XX) 10 General topology (54-XX) 10 Statistics (62-XX) 9 Measure and integration (28-XX) 8 Functions of a complex variable (30-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Convex and discrete geometry (52-XX) 8 Algebraic topology (55-XX) 7 Functional analysis (46-XX) 7 Biology and other natural sciences (92-XX) 6 Combinatorics (05-XX) 5 Approximations and expansions (41-XX) 5 Geometry (51-XX) 4 Potential theory (31-XX) 3 Topological groups, Lie groups (22-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year