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Coste, Michel

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Author ID: coste.michel Recent zbMATH articles by "Coste, Michel"
Published as: Coste, Michel; Coste, M.
Homepage: https://perso.univ-rennes1.fr/michel.coste/
External Links: IdRef · Google Scholar · MGP · theses.fr
Documents Indexed: 47 Publications since 1979, including 6 Books
Reviewing Activity: 41 Reviews

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 1,044 times in 928 Documents Cited by Year
Géométrie algébrique réelle. (Real algebraic geometry). Zbl 0633.14016
Bochnak, J.; Coste, M.; Roy, M.-F.
402
1987
Real algebraic geometry. Transl. from the French. Rev. and updated ed. Zbl 0912.14023
Bochnak, Jacek; Coste, Michel; Roy, Marie-Françoise
356
1998
Thom’s lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets. Zbl 0689.14006
Coste, M.; Roy, M. F.
45
1988
La topologie du spectre réel. Zbl 0485.14007
Coste, Michel; Roy, Marie-Francoise
36
1982
Dynamical method in algebra: Effective Nullstellensätze. Zbl 0992.03076
Coste, Michel; Lombardi, Henri; Roy, Marie-Françoise
34
2001
Normal spectral spaces and their dimensions. Zbl 0525.14015
Carral, Michel; Coste, Michel
30
1983
Nash triviality in families of Nash manifolds. Zbl 0801.14017
Coste, Michel; Shiota, Masahiro
16
1992
Approximation in compact Nash manifolds. Zbl 0873.32007
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
13
1995
Nash functions on noncompact Nash manifolds. Zbl 0981.14027
Coste, Michel; Shiota, Masahiro
9
2000
Thom’s first isotopy lemma: A semialgebraic version, with uniform bound. Zbl 0844.14025
Coste, Michel; Shiota, Masahiro
9
1995
On the link of a stratum in a real algebraic set. Zbl 0787.14038
Coste, Michel; Kurdyka, Krzysztof
8
1992
Atypical values at infinity of a polynomial function on the real plane: An erratum, and an algorithmic criterion. Zbl 1042.14038
Coste, M.; de la Puente, M. J.
8
2001
Localisation, spectra and sheaf representation. Zbl 0422.18007
Coste, Michel
8
1979
Topologies for real algebraic geometry. Zbl 0417.14002
Coste, Marie-Francoise; Coste, Michel
7
1979
Separation, factorization and finite sheaves on Nash manifolds. Zbl 0885.14029
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
6
1996
Uniform bounds on complexity and transfer of global properties of Nash functions. Zbl 0981.14028
Coste, Michel; Ruiz, Jesus M.; Shiota, Masahiro
6
2001
Real algebraic sets. Zbl 1144.14305
Coste, Michel
5
2007
Triviality of a family. (Trivialités en famille.) Zbl 0801.14016
Coste, Michel; Reguiat, Miloud
5
1992
Generalized Budan–Fourier theorem and virtual roots. Zbl 1106.12001
Coste, Michel; Lajous-Loaeza, Tomás; Lombardi, Henri; Roy, Marie-Françoise
5
2005
Le spectre etale réel d’un anneau est spatial. Zbl 0433.14018
Coste-Roy, Marie-Francoise; Coste, Michel
5
1980
Global problems on Nash functions. Zbl 1056.14081
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
4
2004
Ensembles semi-algébriques. Zbl 0498.14012
Coste, Michel
4
1982
The discriminant of a morphism of real algebraic manifolds. (Le discriminant d’un morphisme de variétés algébriques réelles.) Zbl 0942.14031
Coste, Michel; Kurdyka, Krzysztof
3
1998
Arc spaces and additive invariants in real algebraic and analytic geometry. Zbl 1155.14313
Coste, Michel; Fukui, Toshizumi; Kurdyka, Krzysztof; McCrory, Clint; Parusiński, Adam; Paunescu, Laurentiu
2
2007
Unicité des triangulations semi-algébriques: Validité sur un corps réel clos quelconque, et effectivité forte. (Uniqueness of semialgebraic triangulations: Validity on any real closed field, and strong effectiveness). Zbl 0745.14021
Coste, Michel
2
1991
Real algebraic 1-cocycles are Nash coboundaries. Zbl 0802.14022
Coste, Michel; Diop, Mamadou Makhtar
2
1992
Real algebraic geometry. Proceedings of the conference, held in Rennes, France, June 24-28, 1991. Zbl 0756.00007
Coste, Michel (ed.); Mahé, Louis (ed.); Roy, Marie-Françoise (ed.)
2
1992
Topological types of fewnomials. Zbl 0932.12001
Coste, Michel
2
1998
Inspiration of a real algebraic hypersurface. (Épaississement d’une hypersurface algébrique réelle.) Zbl 0788.14051
Coste, Michel
2
1992
Sous-ensembles algébriques réels de codimension 2. (Real algebraic subsets of codimension 2). Zbl 0723.14040
Coste, Michel
1
1990
Le topos etale réel d’un anneau. Zbl 0454.18008
Coste, Michel; Coste-Roy, Marie-Francoise
1
1981
Another proof of the existence of stratifications satisfying the Verdier condition \(w\). (Encore une démonstration de l’existence de stratifications satisfaisant la condition \(w\) de Verdier.) Zbl 0787.14037
Coste, Michel; Roy, Marie-Françoise
1
1989
Sous-ensembles algébriques réels de codimension 1. (Real algebraic subsets of codimension 1). Zbl 0587.14013
Coste, Michel
1
1985
Contribution to the study of the natural number object in elementary topoi. Zbl 0427.03056
Coste-Roy, Marie-Francoise; Coste, Michel; Mahe, Louis
1
1980
The generic model of an \(\varepsilon\)-stable geometric extension of the theory of rings of line type. Zbl 0427.18008
Coste, Marie-Francoise; Coste, Michel
1
1979
Géométrie algébrique réelle et formes quadratiques. Journées Soc. Math. Fr., Université de Rennes 1, Mai 1981. Zbl 0487.00005
Colliot-Thélène, Jean-Louis (ed.); Coste, Michel (ed.); Mahé, Louis (ed.); Roy, Marie-Françoise (ed.)
1
1982
Geodesic diameter of sets defined by few quadratic equations and inequalities. Zbl 1254.14065
Coste, Michel; Moussa, Seydou
1
2012
Geodesic diameter of sets defined by few quadratic equations and inequalities. Zbl 1254.14065
Coste, Michel; Moussa, Seydou
1
2012
Real algebraic sets. Zbl 1144.14305
Coste, Michel
5
2007
Arc spaces and additive invariants in real algebraic and analytic geometry. Zbl 1155.14313
Coste, Michel; Fukui, Toshizumi; Kurdyka, Krzysztof; McCrory, Clint; Parusiński, Adam; Paunescu, Laurentiu
2
2007
Generalized Budan–Fourier theorem and virtual roots. Zbl 1106.12001
Coste, Michel; Lajous-Loaeza, Tomás; Lombardi, Henri; Roy, Marie-Françoise
5
2005
Global problems on Nash functions. Zbl 1056.14081
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
4
2004
Dynamical method in algebra: Effective Nullstellensätze. Zbl 0992.03076
Coste, Michel; Lombardi, Henri; Roy, Marie-Françoise
34
2001
Atypical values at infinity of a polynomial function on the real plane: An erratum, and an algorithmic criterion. Zbl 1042.14038
Coste, M.; de la Puente, M. J.
8
2001
Uniform bounds on complexity and transfer of global properties of Nash functions. Zbl 0981.14028
Coste, Michel; Ruiz, Jesus M.; Shiota, Masahiro
6
2001
Nash functions on noncompact Nash manifolds. Zbl 0981.14027
Coste, Michel; Shiota, Masahiro
9
2000
Real algebraic geometry. Transl. from the French. Rev. and updated ed. Zbl 0912.14023
Bochnak, Jacek; Coste, Michel; Roy, Marie-Françoise
356
1998
The discriminant of a morphism of real algebraic manifolds. (Le discriminant d’un morphisme de variétés algébriques réelles.) Zbl 0942.14031
Coste, Michel; Kurdyka, Krzysztof
3
1998
Topological types of fewnomials. Zbl 0932.12001
Coste, Michel
2
1998
Separation, factorization and finite sheaves on Nash manifolds. Zbl 0885.14029
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
6
1996
Approximation in compact Nash manifolds. Zbl 0873.32007
Coste, Michel; Ruiz, Jesús M.; Shiota, Masahiro
13
1995
Thom’s first isotopy lemma: A semialgebraic version, with uniform bound. Zbl 0844.14025
Coste, Michel; Shiota, Masahiro
9
1995
Nash triviality in families of Nash manifolds. Zbl 0801.14017
Coste, Michel; Shiota, Masahiro
16
1992
On the link of a stratum in a real algebraic set. Zbl 0787.14038
Coste, Michel; Kurdyka, Krzysztof
8
1992
Triviality of a family. (Trivialités en famille.) Zbl 0801.14016
Coste, Michel; Reguiat, Miloud
5
1992
Real algebraic 1-cocycles are Nash coboundaries. Zbl 0802.14022
Coste, Michel; Diop, Mamadou Makhtar
2
1992
Real algebraic geometry. Proceedings of the conference, held in Rennes, France, June 24-28, 1991. Zbl 0756.00007
Coste, Michel; Mahé, Louis; Roy, Marie-Françoise
2
1992
Inspiration of a real algebraic hypersurface. (Épaississement d’une hypersurface algébrique réelle.) Zbl 0788.14051
Coste, Michel
2
1992
Unicité des triangulations semi-algébriques: Validité sur un corps réel clos quelconque, et effectivité forte. (Uniqueness of semialgebraic triangulations: Validity on any real closed field, and strong effectiveness). Zbl 0745.14021
Coste, Michel
2
1991
Sous-ensembles algébriques réels de codimension 2. (Real algebraic subsets of codimension 2). Zbl 0723.14040
Coste, Michel
1
1990
Another proof of the existence of stratifications satisfying the Verdier condition \(w\). (Encore une démonstration de l’existence de stratifications satisfaisant la condition \(w\) de Verdier.) Zbl 0787.14037
Coste, Michel; Roy, Marie-Françoise
1
1989
Thom’s lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets. Zbl 0689.14006
Coste, M.; Roy, M. F.
45
1988
Géométrie algébrique réelle. (Real algebraic geometry). Zbl 0633.14016
Bochnak, J.; Coste, M.; Roy, M.-F.
402
1987
Sous-ensembles algébriques réels de codimension 1. (Real algebraic subsets of codimension 1). Zbl 0587.14013
Coste, Michel
1
1985
Normal spectral spaces and their dimensions. Zbl 0525.14015
Carral, Michel; Coste, Michel
30
1983
La topologie du spectre réel. Zbl 0485.14007
Coste, Michel; Roy, Marie-Francoise
36
1982
Ensembles semi-algébriques. Zbl 0498.14012
Coste, Michel
4
1982
Géométrie algébrique réelle et formes quadratiques. Journées Soc. Math. Fr., Université de Rennes 1, Mai 1981. Zbl 0487.00005
Colliot-Thélène, Jean-Louis; Coste, Michel; Mahé, Louis; Roy, Marie-Françoise
1
1982
Le topos etale réel d’un anneau. Zbl 0454.18008
Coste, Michel; Coste-Roy, Marie-Francoise
1
1981
Le spectre etale réel d’un anneau est spatial. Zbl 0433.14018
Coste-Roy, Marie-Francoise; Coste, Michel
5
1980
Contribution to the study of the natural number object in elementary topoi. Zbl 0427.03056
Coste-Roy, Marie-Francoise; Coste, Michel; Mahe, Louis
1
1980
Localisation, spectra and sheaf representation. Zbl 0422.18007
Coste, Michel
8
1979
Topologies for real algebraic geometry. Zbl 0417.14002
Coste, Marie-Francoise; Coste, Michel
7
1979
The generic model of an \(\varepsilon\)-stable geometric extension of the theory of rings of line type. Zbl 0427.18008
Coste, Marie-Francoise; Coste, Michel
1
1979
all top 5

Cited by 988 Authors

28 Kucharz, Wojciech
25 Fernando, José F.
19 Roy, Marie-Françoise
15 Kurdyka, Krzysztof
14 Gamboa Mutuberria, José Manuel
14 Phạm Tiên So’n
14 Scheiderer, Claus
13 Lombardi, Henri
13 Nie, Jiawang
12 Parusiński, Adam
11 Ruiz, Jesús M.
10 Basu, Saugata
10 Edmundo, Mário J.
10 Zahl, Joshua
9 Marshall, Murray Angus
9 Shiota, Masahiro
9 Zeng, Guangxing
8 Bilski, Marcin
8 Ghiloni, Riccardo
8 Heintz, Joos
8 Helton, John William
8 Klep, Igor
8 Kollár, János
8 Schwartz, Niels
8 Valette, Guillaume
8 Wessel, Daniel
8 Xiao, ShuiJing
7 Blekherman, Grigoriy
7 Bochnak, Jacek
7 Broglia, Fabrizio
7 Cucker, Felipe
7 Fichou, Goulwen
7 Safey El Din, Mohab
7 Valette-Stasica, Anna
6 Acquistapace, Francesca
6 Bank, Bernd
6 Bolte, Jérôme
6 Coste, Michel
6 Dickmann, Max A.
6 Giusti, Marc
6 Lasserre, Jean-Bernard
6 McCullough, Scott A.
6 Prelli, Luca
6 Rinaldi, Davide
6 Sheffer, Adam
6 Sinn, Rainer
6 Yengui, Ihsen
5 Adamus, Janusz
5 Benoist, Olivier
5 Bürgisser, Peter
5 Fischer, Andreas M.
5 Fujita, Masato
5 Gonzalez-Vega, Laureano
5 Guo, Feng
5 Kaiser, Tobias
5 Koike, Satoshi
5 Lerario, Antonio
5 McCrory, Clint G.
5 Netzer, Tim
5 Perrucci, Daniel
5 Pimienta, Carlos González
5 Plaumann, Daniel
5 Putinar, Mihai
5 Quarez, Ronan
5 Sharir, Micha
5 Volčič, Jurij
4 Aizenbud, Avraham
4 Alonso García, María Emilia
4 Andradas, Carlos
4 Averkov, Gennadiy
4 Ballico, Edoardo
4 Becker, Eberhard
4 Dinh, Si Tiep
4 Gourevitch, Dmitry
4 Hà Huy Vui
4 Khimshiashvili, Giorgi
4 Knebusch, Manfred
4 Kummer, Mario Denis
4 Lickteig, Thomas
4 Lucas, François
4 Mangolte, Frédéric
4 McEnerney, James
4 Monnier, Jean-Philippe
4 Paunescu, Laurentiu
4 Pierzchała, Rafał
4 Recio, Tomas
4 Schweighofer, Markus
4 Szafraniec, Zbigniew
4 Tancredi, Alessandro
4 Thom, Andreas Berthold
4 Ueno, Carlos
4 Vannieuwenhoven, Nick
4 Zhang, Xinzhen
3 Balkenborg, Dieter
3 Baro, Elías
3 Bartosiewicz, Zbigniew
3 Bélair, Luc
3 Chistov, Alexandre L.
3 Cichoń, Dariusz
3 Cimprič, Jaka
...and 888 more Authors
all top 5

Cited in 220 Serials

58 Journal of Pure and Applied Algebra
38 Journal of Symbolic Computation
35 Journal of Algebra
34 Annales de l’Institut Fourier
34 Proceedings of the American Mathematical Society
25 Mathematische Zeitschrift
24 Discrete & Computational Geometry
23 Transactions of the American Mathematical Society
21 Mathematical Programming. Series A. Series B
20 Advances in Mathematics
18 Mathematische Annalen
18 Linear Algebra and its Applications
15 Journal of Complexity
13 Theoretical Computer Science
12 Manuscripta Mathematica
12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
11 Annals of Pure and Applied Logic
10 Communications in Algebra
10 Topology and its Applications
10 Journal of the European Mathematical Society (JEMS)
9 Journal of Mathematical Analysis and Applications
9 Journal of Optimization Theory and Applications
8 Mathematics of Computation
8 Inventiones Mathematicae
8 Foundations of Computational Mathematics
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Duke Mathematical Journal
7 Journal of Differential Equations
7 Bulletin of the American Mathematical Society. New Series
6 Israel Journal of Mathematics
6 Archiv der Mathematik
6 Cahiers de Topologie et Géométrie Différentielle Catégoriques
6 Geometriae Dedicata
6 The Journal of Symbolic Logic
6 SIAM Journal on Matrix Analysis and Applications
6 International Journal of Mathematics
6 Journal of Algebraic Geometry
6 Selecta Mathematica. New Series
5 International Journal of Game Theory
5 Journal of Combinatorial Theory. Series A
5 Journal für die Reine und Angewandte Mathematik
5 Memoirs of the American Mathematical Society
5 Systems & Control Letters
5 Journal of the American Mathematical Society
5 Journal of Global Optimization
5 Indagationes Mathematicae. New Series
5 SIAM Journal on Optimization
5 Journal of Mathematical Sciences (New York)
5 Bulletin des Sciences Mathématiques
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 SIAM Journal on Applied Algebra and Geometry
4 Annales Polonici Mathematici
4 Automatica
4 Compositio Mathematica
4 Journal of Computer and System Sciences
4 Journal of the Mathematical Society of Japan
4 Mathematics and Computers in Simulation
4 Acta Applicandae Mathematicae
4 Revista Matemática Iberoamericana
4 Geometric and Functional Analysis. GAFA
4 Games and Economic Behavior
4 Applicable Algebra in Engineering, Communication and Computing
4 Computational Optimization and Applications
4 Applied and Computational Harmonic Analysis
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Acta Mathematica Vietnamica
3 Bulletin de la Société Mathématique de France
3 Illinois Journal of Mathematics
3 Journal of Computational and Applied Mathematics
3 Journal of Economic Theory
3 Journal of Econometrics
3 Journal of Functional Analysis
3 Michigan Mathematical Journal
3 SIAM Journal on Control and Optimization
3 Expositiones Mathematicae
3 RAIRO. Informatique Théorique et Applications
3 Archive for Mathematical Logic
3 Applied Categorical Structures
3 The Bulletin of Symbolic Logic
3 Geometry & Topology
3 Revista Matemática Complutense
3 Annales Henri Poincaré
3 Qualitative Theory of Dynamical Systems
3 Advances in Geometry
3 Algebraic & Geometric Topology
3 Mathematics in Computer Science
3 SIAM Journal on Imaging Sciences
3 Science China. Mathematics
3 Journal of Singularities
3 Bollettino dell’Unione Matematica Italiana
2 Communications in Mathematical Physics
2 Journal d’Analyse Mathématique
2 The Annals of Statistics
2 Commentarii Mathematici Helvetici
2 Publications Mathématiques
2 Journal of Mathematical Economics
2 Mathematische Nachrichten
2 Monatshefte für Mathematik
2 Proceedings of the Japan Academy. Series A
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
...and 120 more Serials
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Cited in 58 Fields

475 Algebraic geometry (14-XX)
149 Commutative algebra (13-XX)
120 Mathematical logic and foundations (03-XX)
115 Several complex variables and analytic spaces (32-XX)
108 Computer science (68-XX)
102 Field theory and polynomials (12-XX)
84 Operations research, mathematical programming (90-XX)
57 Global analysis, analysis on manifolds (58-XX)
51 Number theory (11-XX)
51 Linear and multilinear algebra; matrix theory (15-XX)
50 Manifolds and cell complexes (57-XX)
47 Numerical analysis (65-XX)
45 Real functions (26-XX)
41 Convex and discrete geometry (52-XX)
35 Algebraic topology (55-XX)
33 General topology (54-XX)
30 Dynamical systems and ergodic theory (37-XX)
27 Calculus of variations and optimal control; optimization (49-XX)
26 Systems theory; control (93-XX)
25 Combinatorics (05-XX)
25 Order, lattices, ordered algebraic structures (06-XX)
23 Functional analysis (46-XX)
23 Differential geometry (53-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Category theory; homological algebra (18-XX)
21 Topological groups, Lie groups (22-XX)
21 Operator theory (47-XX)
19 Group theory and generalizations (20-XX)
18 Associative rings and algebras (16-XX)
18 Ordinary differential equations (34-XX)
16 Partial differential equations (35-XX)
13 Approximations and expansions (41-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
11 Quantum theory (81-XX)
11 Information and communication theory, circuits (94-XX)
9 Integral transforms, operational calculus (44-XX)
9 Statistics (62-XX)
8 Functions of a complex variable (30-XX)
8 Geometry (51-XX)
7 Mechanics of particles and systems (70-XX)
6 \(K\)-theory (19-XX)
6 Probability theory and stochastic processes (60-XX)
5 Measure and integration (28-XX)
5 Potential theory (31-XX)
5 Biology and other natural sciences (92-XX)
4 General algebraic systems (08-XX)
4 Nonassociative rings and algebras (17-XX)
4 Abstract harmonic analysis (43-XX)
3 History and biography (01-XX)
3 Fluid mechanics (76-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 General and overarching topics; collections (00-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year