×

zbMATH — the first resource for mathematics

Louveau, Alain

Compute Distance To:
Author ID: louveau.alain Recent zbMATH articles by "Louveau, Alain"
Published as: Louveau, Alain; Louveau, A.
Documents Indexed: 79 Publications since 1969, including 3 Books
2 Contributions as Editor
1 Further Contribution

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 686 times in 508 Documents Cited by Year
A Glimm-Effros dichotomy for Borel equivalence relations. Zbl 0778.28011
Harrington, L. A.; Kechris, A. S.; Louveau, A.
94
1990
Countable Borel equivalence relations. Zbl 1008.03031
Jackson, S.; Kechris, A. S.; Louveau, A.
87
2002
Descriptive set theory and the structure of sets of uniqueness. Zbl 0642.42014
Kechris, Alexander S.; Louveau, Alain
47
1987
The classification of hypersmooth Borel equivalence relations. Zbl 0865.03039
Kechris, Alexander S.; Louveau, Alain
47
1997
The structure of \(\sigma\)-ideals of compact sets. Zbl 0633.03043
Kechris, A. S.; Louveau, A.; Woodin, W. H.
44
1987
Complete analytic equivalence relations. Zbl 1118.03043
Louveau, Alain; Rosendal, Christian
29
2005
A classification of Baire class 1 functions. Zbl 0692.03031
Kechris, A. S.; Louveau, A.
25
1990
Borel classes and closed games: Wadge-type and Hurewicz-type results. Zbl 0655.04001
Louveau, Alain; Saint Raymond, Jean
24
1987
The complexity of classifying separable Banach spaces up to isomorphism. Zbl 1234.46008
Ferenczi, Valentin; Louveau, Alain; Rosendal, Christian
21
2009
A note on Borel equivalence relations. Zbl 0794.04002
Louveau, Alain; Velickovic, Boban
19
1994
Une méthode topologique pour l’étude de la propriété de Ramsey. Zbl 0333.54022
Louveau, Alain
18
1976
Borel partitions of infinite subtrees of a perfect tree. Zbl 0786.03033
Louveau, A.; Shelah, Saharon; Veličković, B.
16
1993
Analytic ideals and cofinal types. Zbl 0934.03061
Louveau, Alain; Velickovic, Boban
16
1999
A separation theorem for \(\Sigma^ 1_ 1\) sets. Zbl 0463.03029
Louveau, Alain
16
1980
Borel equivalence relations induced by actions of the symmetric group. Zbl 0930.03058
Hjorth, Greg; Kechris, Alexander S.; Louveau, Alain
15
1998
A separation theorem for \(\Sigma^ 1_ 1\) sets. Zbl 0455.03021
Louveau, Alain
15
1980
Some results in the Wadge hierarchy of Borel sets. Zbl 0535.03026
Louveau, A.
15
1983
On the quasi-ordering of Borel linear orders under embeddability. Zbl 0702.03024
Louveau, Alain; Saint Raymond, Jean
14
1990
Descriptive set theory and harmonic analysis. Zbl 0766.03026
Kechris, A. S.; Louveau, A.
13
1992
Ensembles analytiques et boreliens dans les espaces produits. Zbl 0526.03030
Louveau, Alain
13
1980
Sur un article de S. Sirota. (On an article of S. Sirota). Zbl 0228.54032
Louveau, Alain
12
1972
A separable image theorem for Ramsey mappings. Zbl 0498.04006
Louveau, Alain; Simpson, Stephen G.
8
1982
Les propriétés de réduction et de norme pour les classes de Boréliens. (The properties of reduction and norm for the Borel classes). Zbl 0662.03046
Louveau, Alain; Saint Raymond, Jean
8
1988
Descriptive set theory and the structure of sets of uniqueness. Zbl 0677.42009
Kechris, Alexander S.; Louveau, Alain
8
1989
Une demonstration topologique de théoremes de Silver et Mathias. Zbl 0311.54043
Louveau, Alain
8
1974
Some complete \(\Sigma^ 1_ 2\) sets in harmonic analysis. Zbl 0799.04006
Becker, Howard; Kahane, Sylvain; Louveau, Alain
5
1993
On the reducibility order between Borel equivalence relations. Zbl 0826.04001
Louveau, Alain
5
1994
Two results on Borel orders. Zbl 0687.03028
Louveau, Alain
5
1989
Some results in the Wadge hierarchy of Borel sets. Zbl 1242.03069
Louveau, Alain
4
2012
Axioms of determinacy and biorthogonal systems. Zbl 0712.46004
Godefroy, Gilles; Louveau, Alain
4
1989
Complete analytic equivalence relations. (Relations d’équivalence analytiques complètes.) Zbl 0989.03047
Louveau, Alain; Rosendal, Christian
3
2001
The strength of Borel Wadge determinacy. Zbl 1242.03070
Louveau, Alain; Saint-Raymond, Jean
3
2012
The strength of Borel Wadge determinacy. Zbl 0651.03036
Louveau, Alain; Saint Raymond, Jean
3
1988
Caractérisation des sous-espaces compacts de \(\beta N\). Zbl 0286.54028
Louveau, Alain
3
1974
Covering theorems for uniqueness and extended uniqueness sets. Zbl 0753.28002
Kechris, Alexander S.; Louveau, Alain
2
1990
\(\sigma\)-ideaux engendres par des ensembles fermes et théoremes d’approximation. Zbl 0427.03039
Louveau, Alain
2
1980
Wadge degrees and pointclasses. Introduction to Part III. Zbl 1276.03037
Andretta, Alessandro; Louveau, Alain
2
2012
Borel sets and the analytical hierarchy. Zbl 0498.03040
Louveau, A.
2
1982
On measures ergodic with respect to an analytic equivalence relation. Zbl 0894.04003
Louveau, Alain; Mokobodzki, Gabriel
2
1997
La hierarchie Borelienne des ensembles \(\Delta^1_1\). Zbl 0363.04008
Louveau, Alain
2
1977
On the size of quotients by definable equivalence relations. Zbl 0847.04003
Louveau, Alain
1
1995
Recursivity and compactness. Zbl 0385.03038
Louveau, A.
1
1978
Familles séparantes pour les ensembles analytiques. Zbl 0432.04001
Louveau, Alain
1
1979
Descriptive set theory and dynamical systems. Based on the international workshop, July 1–5, 1996, Marseille-Luminy, France. Zbl 0940.00035
1
2000
Sur la génération des fonctions boréliennes fortement affines sur un convexe compact métrisable. (On the generation of strongly affine Borel functions on a metrizable convex compact set). Zbl 0604.46012
Louveau, Alain
1
1986
Ultrafiltres absolus. Zbl 0219.54006
Louveau, A.
1
1971
Caractérisation de la classe de Baire des boréliens par des jeux fermés. (Characterizing the Baire class of Borel sets by closed games). Zbl 0581.54022
Louveau, Alain; Saint Raymond, Jean
1
1985
Some results in the Wadge hierarchy of Borel sets. Zbl 1242.03069
Louveau, Alain
4
2012
The strength of Borel Wadge determinacy. Zbl 1242.03070
Louveau, Alain; Saint-Raymond, Jean
3
2012
Wadge degrees and pointclasses. Introduction to Part III. Zbl 1276.03037
Andretta, Alessandro; Louveau, Alain
2
2012
The complexity of classifying separable Banach spaces up to isomorphism. Zbl 1234.46008
Ferenczi, Valentin; Louveau, Alain; Rosendal, Christian
21
2009
Complete analytic equivalence relations. Zbl 1118.03043
Louveau, Alain; Rosendal, Christian
29
2005
Countable Borel equivalence relations. Zbl 1008.03031
Jackson, S.; Kechris, A. S.; Louveau, A.
87
2002
Complete analytic equivalence relations. (Relations d’équivalence analytiques complètes.) Zbl 0989.03047
Louveau, Alain; Rosendal, Christian
3
2001
Descriptive set theory and dynamical systems. Based on the international workshop, July 1–5, 1996, Marseille-Luminy, France. Zbl 0940.00035
1
2000
Analytic ideals and cofinal types. Zbl 0934.03061
Louveau, Alain; Velickovic, Boban
16
1999
Borel equivalence relations induced by actions of the symmetric group. Zbl 0930.03058
Hjorth, Greg; Kechris, Alexander S.; Louveau, Alain
15
1998
The classification of hypersmooth Borel equivalence relations. Zbl 0865.03039
Kechris, Alexander S.; Louveau, Alain
47
1997
On measures ergodic with respect to an analytic equivalence relation. Zbl 0894.04003
Louveau, Alain; Mokobodzki, Gabriel
2
1997
On the size of quotients by definable equivalence relations. Zbl 0847.04003
Louveau, Alain
1
1995
A note on Borel equivalence relations. Zbl 0794.04002
Louveau, Alain; Velickovic, Boban
19
1994
On the reducibility order between Borel equivalence relations. Zbl 0826.04001
Louveau, Alain
5
1994
Borel partitions of infinite subtrees of a perfect tree. Zbl 0786.03033
Louveau, A.; Shelah, Saharon; Veličković, B.
16
1993
Some complete \(\Sigma^ 1_ 2\) sets in harmonic analysis. Zbl 0799.04006
Becker, Howard; Kahane, Sylvain; Louveau, Alain
5
1993
Descriptive set theory and harmonic analysis. Zbl 0766.03026
Kechris, A. S.; Louveau, A.
13
1992
A Glimm-Effros dichotomy for Borel equivalence relations. Zbl 0778.28011
Harrington, L. A.; Kechris, A. S.; Louveau, A.
94
1990
A classification of Baire class 1 functions. Zbl 0692.03031
Kechris, A. S.; Louveau, A.
25
1990
On the quasi-ordering of Borel linear orders under embeddability. Zbl 0702.03024
Louveau, Alain; Saint Raymond, Jean
14
1990
Covering theorems for uniqueness and extended uniqueness sets. Zbl 0753.28002
Kechris, Alexander S.; Louveau, Alain
2
1990
Descriptive set theory and the structure of sets of uniqueness. Zbl 0677.42009
Kechris, Alexander S.; Louveau, Alain
8
1989
Two results on Borel orders. Zbl 0687.03028
Louveau, Alain
5
1989
Axioms of determinacy and biorthogonal systems. Zbl 0712.46004
Godefroy, Gilles; Louveau, Alain
4
1989
Les propriétés de réduction et de norme pour les classes de Boréliens. (The properties of reduction and norm for the Borel classes). Zbl 0662.03046
Louveau, Alain; Saint Raymond, Jean
8
1988
The strength of Borel Wadge determinacy. Zbl 0651.03036
Louveau, Alain; Saint Raymond, Jean
3
1988
Descriptive set theory and the structure of sets of uniqueness. Zbl 0642.42014
Kechris, Alexander S.; Louveau, Alain
47
1987
The structure of \(\sigma\)-ideals of compact sets. Zbl 0633.03043
Kechris, A. S.; Louveau, A.; Woodin, W. H.
44
1987
Borel classes and closed games: Wadge-type and Hurewicz-type results. Zbl 0655.04001
Louveau, Alain; Saint Raymond, Jean
24
1987
Sur la génération des fonctions boréliennes fortement affines sur un convexe compact métrisable. (On the generation of strongly affine Borel functions on a metrizable convex compact set). Zbl 0604.46012
Louveau, Alain
1
1986
Caractérisation de la classe de Baire des boréliens par des jeux fermés. (Characterizing the Baire class of Borel sets by closed games). Zbl 0581.54022
Louveau, Alain; Saint Raymond, Jean
1
1985
Some results in the Wadge hierarchy of Borel sets. Zbl 0535.03026
Louveau, A.
15
1983
A separable image theorem for Ramsey mappings. Zbl 0498.04006
Louveau, Alain; Simpson, Stephen G.
8
1982
Borel sets and the analytical hierarchy. Zbl 0498.03040
Louveau, A.
2
1982
A separation theorem for \(\Sigma^ 1_ 1\) sets. Zbl 0463.03029
Louveau, Alain
16
1980
A separation theorem for \(\Sigma^ 1_ 1\) sets. Zbl 0455.03021
Louveau, Alain
15
1980
Ensembles analytiques et boreliens dans les espaces produits. Zbl 0526.03030
Louveau, Alain
13
1980
\(\sigma\)-ideaux engendres par des ensembles fermes et théoremes d’approximation. Zbl 0427.03039
Louveau, Alain
2
1980
Familles séparantes pour les ensembles analytiques. Zbl 0432.04001
Louveau, Alain
1
1979
Recursivity and compactness. Zbl 0385.03038
Louveau, A.
1
1978
La hierarchie Borelienne des ensembles \(\Delta^1_1\). Zbl 0363.04008
Louveau, Alain
2
1977
Une méthode topologique pour l’étude de la propriété de Ramsey. Zbl 0333.54022
Louveau, Alain
18
1976
Une demonstration topologique de théoremes de Silver et Mathias. Zbl 0311.54043
Louveau, Alain
8
1974
Caractérisation des sous-espaces compacts de \(\beta N\). Zbl 0286.54028
Louveau, Alain
3
1974
Sur un article de S. Sirota. (On an article of S. Sirota). Zbl 0228.54032
Louveau, Alain
12
1972
Ultrafiltres absolus. Zbl 0219.54006
Louveau, A.
1
1971
all top 5

Cited by 379 Authors

27 Kechris, Alexander S.
20 Hjorth, Gregory
18 Kanovei, Vladimir G.
17 Miller, Benjamin David
16 Lecomte, Dominique
16 Solecki, Sławomir
15 Thomas, Simon R.
13 Gao, Su
11 Lyubetsky, Vassily Aleksandrovich
11 Todorcevic, Stevo B.
10 Friedman, Sy-David
10 Louveau, Alain
10 Selivanov, Viktor L’vovich
9 Clemens, John Daniel
9 Conley, Clinton Taylor
8 Carroy, Raphaël
8 Motto Ros, Luca
8 Saint Raymond, Jean
7 Camerlo, Riccardo
7 Debs, Gabriel
7 Ding, Longyun
7 Marcone, Alberto
7 Sabok, Marcin
7 Zapletal, Jindřich
7 Zelený, Miroslav
6 Argyros, Spiros A.
6 Dougherty, Randall L.
6 Hrušák, Michael
6 Kanellopoulos, Vassilis
6 Marks, Andrew S.
5 Becker, Howard S.
5 Calderoni, Filippo
5 Dodos, Pandelis
5 Ferenczi, Valentin
5 Finkel, Olivier
5 Fokina, Ekaterina B.
5 Grivaux, Sophie
5 Jackson, Stephen C.
5 Matheron, Étienne
5 Olevskii, Alexander Moiseevich
5 Pol, Roman
5 Rosendal, Christian
5 Spinas, Otmar
5 Törnquist, Asger
5 Uzcategui, Carlos Enrique
5 Vidnyánszky, Zoltán
5 Zakrzewski, Piotr
4 Balcerzak, Marek
4 Farah, Ilijas
4 Filipów, Rafał
4 Kozma, Gady
4 Mátrai, Tamás
4 Seward, Brandon
4 van Engelen, Fons
4 van Mill, Jan
3 Duparc, Jacques
3 Elekes, Márton
3 Farmaki, Vassiliki
3 Głąb, Szymon
3 Godefroy, Gilles
3 Gregoriades, Vassilios
3 Hyttinen, Tapani
3 Kanamori, Akihiro
3 Kaufman, Robert P.
3 Kholshchevnikova, Natal’ya Nikolaevna
3 Khomskii, Yurii Daniilovich
3 Kihara, Takayuki
3 Laguzzi, Giorgio
3 Matet, Pierre
3 Montalbán, Antonio
3 Pequignot, Yann
3 Sipacheva, Ol’ga V.
3 Slutsky, Konstantin
3 Szuca, Piotr
3 Tsankov, Todor
3 Tucker-Drob, Robin D.
3 Velickovic, Boban
2 Alvarez, Aurélien
2 Anisca, Razvan
2 Ash, J. Marshall
2 Aviles Lopez, Antonio
2 Bayart, Frédéric
2 Blass, Andreas Raphael
2 Borodulin-Nadzieja, Piotr
2 Brendle, Jörg
2 Comfort, William Wistar
2 Coskey, Samuel
2 Di Prisco, Carlos Augusto
2 Dikranjan, Dikran N.
2 Doucha, Michal
2 Frankiewicz, Ryszard
2 Gartside, Paul M.
2 Giordano, Thierry
2 He, Jialiang
2 Impieri, Daniele
2 Kulikov, Vadim
2 Kurka, Ondřej
2 Kwela, Adam
2 Larson, Paul B.
2 Leonetti, Paolo
...and 279 more Authors
all top 5

Cited in 85 Serials

45 Annals of Pure and Applied Logic
44 Topology and its Applications
42 Transactions of the American Mathematical Society
39 The Journal of Symbolic Logic
32 Proceedings of the American Mathematical Society
25 Israel Journal of Mathematics
23 Advances in Mathematics
17 Journal of Mathematical Logic
14 Journal of Mathematical Analysis and Applications
13 Journal of Functional Analysis
13 The Bulletin of Symbolic Logic
12 Archive for Mathematical Logic
10 Fundamenta Mathematicae
10 Journal of the American Mathematical Society
9 Ergodic Theory and Dynamical Systems
8 Theoretical Computer Science
8 Mathematical Logic Quarterly (MLQ)
7 Annales de l’Institut Fourier
5 Mathematical Notes
5 Memoirs of the American Mathematical Society
5 Journal of the European Mathematical Society (JEMS)
4 Czechoslovak Mathematical Journal
4 Inventiones Mathematicae
4 Groups, Geometry, and Dynamics
4 Forum of Mathematics, Sigma
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Mathematische Annalen
3 Mathematika
3 Order
3 The Journal of Fourier Analysis and Applications
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Proceedings of the Steklov Institute of Mathematics
3 Logical Methods in Computer Science
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Journal d’Analyse Mathématique
2 Acta Mathematica
2 Journal of Algebra
2 Journal of Combinatorial Theory. Series A
2 Journal of Soviet Mathematics
2 European Journal of Combinatorics
2 Acta Mathematica Hungarica
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Bulletin of the American Mathematical Society. New Series
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Sciences (New York)
2 Annals of Mathematics. Second Series
2 Central European Journal of Mathematics
2 Journal of Logic and Analysis
2 Bollettino dell’Unione Matematica Italiana
1 Archive for History of Exact Sciences
1 Discrete Mathematics
1 Information Processing Letters
1 Lithuanian Mathematical Journal
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Arkiv för Matematik
1 The Mathematical Intelligencer
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Commentationes Mathematicae Universitatis Carolinae
1 Duke Mathematical Journal
1 Journal of Pure and Applied Algebra
1 Matematički Vesnik
1 Notre Dame Journal of Formal Logic
1 Proceedings of the London Mathematical Society. Third Series
1 Real Analysis Exchange
1 Advances in Applied Mathematics
1 Statistics & Probability Letters
1 MSCS. Mathematical Structures in Computer Science
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 St. Petersburg Mathematical Journal
1 Georgian Mathematical Journal
1 Bulletin des Sciences Mathématiques
1 Electronic Research Announcements of the American Mathematical Society
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 Journal of Group Theory
1 RAIRO. Theoretical Informatics and Applications
1 The Journal of Logic and Algebraic Programming
1 Journal of the Institute of Mathematics of Jussieu
1 Contributions to Discrete Mathematics
1 Journal of Modern Dynamics
1 Science China. Mathematics
1 Computability
1 European Journal of Mathematics
1 Bulletin of the Hellenic Mathematical Society

Citations by Year