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Voevodskiĭ, Vladimir Aleksandrovich

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Author ID: voevodsky.vladimir-aleksandrovich Recent zbMATH articles by "Voevodskiĭ, Vladimir Aleksandrovich"
Published as: Voevodskij, V. A.; Voevodsky, V.; Voevodsky, V. A.; Voevodsky, Vladimir
Homepage: https://www.math.ias.edu/vladimir/home
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · ResearchGate · dblp · GND · MacTutor
Awards: Fields Medal (2002)
Member of Collective: the-univalent-foundations-program.
Documents Indexed: 55 Publications since 1989, including 3 Books
Biographic References: 10 Publications

Publications by Year

Citations contained in zbMATH

51 Publications have been cited 1,912 times in 933 Documents Cited by Year
\(\mathbb{A}^1\)-homotopy theory of schemes. Zbl 0983.14007
Morel, Fabien; Voevodsky, Vladimir
233
1999
Motivic cohomology with \(\mathbb Z/2\)-coefficients. Zbl 1057.14028
Voevodsky, Vladimir
141
2003
Triangulated categories of motives over a field. Zbl 1019.14009
Voevodsky, Vladimir
141
2000
Lecture notes on motivic cohomology. Zbl 1115.14010
Mazza, Carlo; Voevodsky, Vladimir; Weibel, Charles
137
2006
On motivic cohomology with \(\mathbb{Z}/l\)-coefficients. Zbl 1236.14026
Voevodsky, Vladimir
102
2011
Bloch-Kato conjecture and motivic cohomology with finite coefficients. Zbl 1005.19001
Suslin, Andrei; Voevodsky, Vladimir
90
2000
2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006
Kapranov, M. M.; Voevodsky, V. A.
88
1994
\(\mathbb{A}^1\)-homotopy theory. Zbl 0907.19002
Voevodsky, Vladimir
86
1998
Singular homology of abstract algebraic varieties. Zbl 0896.55002
Suslin, Andrei; Voevodsky, Vladimir
79
1996
Cycles, transfers, and motivic homology theories. Zbl 1021.14006
Voevodsky, Vladimir; Suslin, Andrei; Friedlander, Eric M.
75
2000
Reduced power operations in motivic cohomology. Zbl 1057.14027
Voevodsky, Vladimir
72
2003
An exact sequence for \(K^M_*/2\) with applications to quadratic forms. Zbl 1124.14017
Orlov, D.; Vishik, A.; Voevodsky, V.
71
2007
Motivic cohomology groups are isomorphic to higher Chow groups in any characteristic. Zbl 1057.14026
Voevodsky, Vladimir
47
2002
Homology of schemes. Zbl 0871.14016
Voevodsky, V.
43
1996
Cohomological theory of presheaves with transfers. Zbl 1019.14010
Voevodsky, Vladimir
41
2000
Relative cycles and Chow sheaves. Zbl 1019.14004
Suslin, Andrei; Voevodsky, Vladimir
34
2000
Bivariant cycle cohomology. Zbl 1019.14011
Friedlander, Eric M.; Voevodsky, Vladimir
33
2000
A nilpotence theorem for cycles algebraically equivalent to zero. Zbl 0861.14006
Voevodsky, V.
33
1995
Drawing curves over number fields. Zbl 0790.14026
Shabat, G. B.; Voevodskij, V. A.
30
1990
Open problems in the motivic stable homotopy theory. I. Zbl 1047.14012
Voevodsky, Vladimir
29
2002
Cancellation theorem. Zbl 1202.14022
Voevodsky, Vladimir
28
2010
Motivic Eilenberg-MacLane spaces. Zbl 1227.14025
Voevodsky, Vladimir
27
2010
Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010
Kapranov, M.; Voevodsky, V.
26
1994
Homotopy theory of simplicial sheaves in completely decomposable topologies. Zbl 1194.55020
Voevodsky, Vladimir
24
2010
Unstable motivic homotopy categories in Nisnevich and cdh-topologies. Zbl 1187.14025
Voevodsky, Vladimir
23
2010
Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010
Kapranov, M. M.; Voevodskij, V. A.
18
1991
Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005
Voevodskij, V. A.; Kapranov, M. M.
18
1991
On the zero slice of the sphere spectrum. Zbl 1182.14012
Voevodsky, V.
14
2004
A possible new approach to the motivic spectral sequence for algebraic \(K\)-theory. Zbl 1009.19003
Voevodsky, Vladimir
14
2002
An experimental library of formalized mathematics based on the univalent foundations. Zbl 1361.68192
Voevodsky, Vladimir
12
2015
Motives over simplicial schemes. Zbl 1194.14029
Voevodsky, Vladimir
12
2010
Voevodsky’s Seattle lectures: \(K\)-theory and motivic cohomology. (Notes by C. Weibel). Zbl 0941.19001
Voevodsky, V.
11
1999
Equilateral triangulations of Riemann surfaces, and curves over algebraic number fields. Zbl 0697.14017
Voevodskij, V. A.; Shabat, G. B.
11
1989
A C-system defined by a universe category. Zbl 1436.03311
Voevodsky, Vladimir
9
2015
\(\infty\)-groupoids and homotopy types. Zbl 0754.18008
Kapranov, M. M.; Voevodskij, V. A.
9
1991
Simplicial radditive functors. Zbl 1194.55021
Voevodsky, Vladimir
8
2010
Subsystems and regular quotients of C-systems. Zbl 1452.03040
Voevodsky, Vladimir
7
2016
Motivic homotopy theory. Lectures at a summer school in Nordfjordeid, Norway, August 2002. Zbl 1118.14001
Dundas, Bjørn Ian; Levine, Marc; Østvær, Paul Arne; Röndigs, Oliver; Voevodsky, V.
6
2007
Products of families of types and \((\Pi,\lambda)\)-structures on C-systems. Zbl 1380.03072
Voevodsky, Vladimir
5
2016
C-systems defined by universe categories: presheaves. Zbl 1453.03067
Voevodsky, Vladimir
4
2017
The \((\Pi,\lambda)\)-structures on the C-systems defined by universe categories. Zbl 1383.03056
Voevodsky, Vladimir
3
2017
Univalent semantics of constructive type theories. Zbl 1250.03121
Voevodsky, Vladimir
3
2011
Univalent foundations of mathematics. Zbl 1371.03097
Voevodsky, Vladimir
3
2011
Categorical structures for type theory in univalent foundations. Zbl 06943957
Ahrens, Benedikt; Lumsdaine, Peter Lefanu; Voevodsky, Vladimir
2
2018
A univalent formalization of the \(p\)-adic numbers. Zbl 1361.68190
Pelayo, Álvaro; Voevodsky, Vladimir; Warren, Michael A.
2
2015
Mini-workshop: The homotopy interpretation of constructive type theory. Abstracts from the mini-workshop held February 27th-March 05th, 2011. Zbl 1242.00037
Awodey, Steve (ed.); Garner, Richard (ed.); Martin-Löf, Per (ed.); Voevodsky, Vladimir (ed.)
2
2011
Galois representations connected with hyperbolic curves. Zbl 0770.14016
Voevodskij, V. A.
2
1991
Introduction. Zbl 1019.14008
Friedlander, Eric M.; Suslin, A.; Voevodsky, V.
1
2000
On Galois groups of function fields over fields of finite type over \(\mathbb{Q}\). Zbl 0786.12004
Voevodskij, V. A.
1
1991
\(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015
Voevodskij, V. A.; Kapranov, M. M.
1
1990
Étale topologies of schemes over fields of finite type over \(\mathbb{Q}\). Zbl 0759.14012
Voevodskij, V. A.
1
1990
Categorical structures for type theory in univalent foundations. Zbl 06943957
Ahrens, Benedikt; Lumsdaine, Peter Lefanu; Voevodsky, Vladimir
2
2018
C-systems defined by universe categories: presheaves. Zbl 1453.03067
Voevodsky, Vladimir
4
2017
The \((\Pi,\lambda)\)-structures on the C-systems defined by universe categories. Zbl 1383.03056
Voevodsky, Vladimir
3
2017
Subsystems and regular quotients of C-systems. Zbl 1452.03040
Voevodsky, Vladimir
7
2016
Products of families of types and \((\Pi,\lambda)\)-structures on C-systems. Zbl 1380.03072
Voevodsky, Vladimir
5
2016
An experimental library of formalized mathematics based on the univalent foundations. Zbl 1361.68192
Voevodsky, Vladimir
12
2015
A C-system defined by a universe category. Zbl 1436.03311
Voevodsky, Vladimir
9
2015
A univalent formalization of the \(p\)-adic numbers. Zbl 1361.68190
Pelayo, Álvaro; Voevodsky, Vladimir; Warren, Michael A.
2
2015
On motivic cohomology with \(\mathbb{Z}/l\)-coefficients. Zbl 1236.14026
Voevodsky, Vladimir
102
2011
Univalent semantics of constructive type theories. Zbl 1250.03121
Voevodsky, Vladimir
3
2011
Univalent foundations of mathematics. Zbl 1371.03097
Voevodsky, Vladimir
3
2011
Mini-workshop: The homotopy interpretation of constructive type theory. Abstracts from the mini-workshop held February 27th-March 05th, 2011. Zbl 1242.00037
Awodey, Steve (ed.); Garner, Richard (ed.); Martin-Löf, Per (ed.); Voevodsky, Vladimir (ed.)
2
2011
Cancellation theorem. Zbl 1202.14022
Voevodsky, Vladimir
28
2010
Motivic Eilenberg-MacLane spaces. Zbl 1227.14025
Voevodsky, Vladimir
27
2010
Homotopy theory of simplicial sheaves in completely decomposable topologies. Zbl 1194.55020
Voevodsky, Vladimir
24
2010
Unstable motivic homotopy categories in Nisnevich and cdh-topologies. Zbl 1187.14025
Voevodsky, Vladimir
23
2010
Motives over simplicial schemes. Zbl 1194.14029
Voevodsky, Vladimir
12
2010
Simplicial radditive functors. Zbl 1194.55021
Voevodsky, Vladimir
8
2010
An exact sequence for \(K^M_*/2\) with applications to quadratic forms. Zbl 1124.14017
Orlov, D.; Vishik, A.; Voevodsky, V.
71
2007
Motivic homotopy theory. Lectures at a summer school in Nordfjordeid, Norway, August 2002. Zbl 1118.14001
Dundas, Bjørn Ian; Levine, Marc; Østvær, Paul Arne; Röndigs, Oliver; Voevodsky, V.
6
2007
Lecture notes on motivic cohomology. Zbl 1115.14010
Mazza, Carlo; Voevodsky, Vladimir; Weibel, Charles
137
2006
On the zero slice of the sphere spectrum. Zbl 1182.14012
Voevodsky, V.
14
2004
Motivic cohomology with \(\mathbb Z/2\)-coefficients. Zbl 1057.14028
Voevodsky, Vladimir
141
2003
Reduced power operations in motivic cohomology. Zbl 1057.14027
Voevodsky, Vladimir
72
2003
Motivic cohomology groups are isomorphic to higher Chow groups in any characteristic. Zbl 1057.14026
Voevodsky, Vladimir
47
2002
Open problems in the motivic stable homotopy theory. I. Zbl 1047.14012
Voevodsky, Vladimir
29
2002
A possible new approach to the motivic spectral sequence for algebraic \(K\)-theory. Zbl 1009.19003
Voevodsky, Vladimir
14
2002
Triangulated categories of motives over a field. Zbl 1019.14009
Voevodsky, Vladimir
141
2000
Bloch-Kato conjecture and motivic cohomology with finite coefficients. Zbl 1005.19001
Suslin, Andrei; Voevodsky, Vladimir
90
2000
Cycles, transfers, and motivic homology theories. Zbl 1021.14006
Voevodsky, Vladimir; Suslin, Andrei; Friedlander, Eric M.
75
2000
Cohomological theory of presheaves with transfers. Zbl 1019.14010
Voevodsky, Vladimir
41
2000
Relative cycles and Chow sheaves. Zbl 1019.14004
Suslin, Andrei; Voevodsky, Vladimir
34
2000
Bivariant cycle cohomology. Zbl 1019.14011
Friedlander, Eric M.; Voevodsky, Vladimir
33
2000
Introduction. Zbl 1019.14008
Friedlander, Eric M.; Suslin, A.; Voevodsky, V.
1
2000
\(\mathbb{A}^1\)-homotopy theory of schemes. Zbl 0983.14007
Morel, Fabien; Voevodsky, Vladimir
233
1999
Voevodsky’s Seattle lectures: \(K\)-theory and motivic cohomology. (Notes by C. Weibel). Zbl 0941.19001
Voevodsky, V.
11
1999
\(\mathbb{A}^1\)-homotopy theory. Zbl 0907.19002
Voevodsky, Vladimir
86
1998
Singular homology of abstract algebraic varieties. Zbl 0896.55002
Suslin, Andrei; Voevodsky, Vladimir
79
1996
Homology of schemes. Zbl 0871.14016
Voevodsky, V.
43
1996
A nilpotence theorem for cycles algebraically equivalent to zero. Zbl 0861.14006
Voevodsky, V.
33
1995
2-categories and Zamolodchikov tetrahedra equations. Zbl 0809.18006
Kapranov, M. M.; Voevodsky, V. A.
88
1994
Braided monoidal 2-categories and Manin-Schechtman higher braid groups. Zbl 0791.18010
Kapranov, M.; Voevodsky, V.
26
1994
Combinatorial-geometric aspects of polycategory theory: Pasting schemes and higher Bruhat orders (list of results). Zbl 0748.18010
Kapranov, M. M.; Voevodskij, V. A.
18
1991
Free \(n\)-category generated by a cube, oriented matroids, and higher Bruhat orders. Zbl 0766.20005
Voevodskij, V. A.; Kapranov, M. M.
18
1991
\(\infty\)-groupoids and homotopy types. Zbl 0754.18008
Kapranov, M. M.; Voevodskij, V. A.
9
1991
Galois representations connected with hyperbolic curves. Zbl 0770.14016
Voevodskij, V. A.
2
1991
On Galois groups of function fields over fields of finite type over \(\mathbb{Q}\). Zbl 0786.12004
Voevodskij, V. A.
1
1991
Drawing curves over number fields. Zbl 0790.14026
Shabat, G. B.; Voevodskij, V. A.
30
1990
\(\infty\)-groupoids as a model for a homotopy category. Zbl 0721.55015
Voevodskij, V. A.; Kapranov, M. M.
1
1990
Étale topologies of schemes over fields of finite type over \(\mathbb{Q}\). Zbl 0759.14012
Voevodskij, V. A.
1
1990
Equilateral triangulations of Riemann surfaces, and curves over algebraic number fields. Zbl 0697.14017
Voevodskij, V. A.; Shabat, G. B.
11
1989
all top 5

Cited by 739 Authors

26 Østvær, Paul Arne
18 Panin, Ivan A.
16 Levine, Marc Noel
15 Voevodskiĭ, Vladimir Aleksandrovich
14 Tabuada, Gonçalo
14 Weibel, Charles A.
13 Asok, Aravind
13 Kahn, Bruno
13 Mináč, Ján
13 Yagita, Nobuaki
12 Déglise, Frédéric
12 Isaksen, Daniel C.
11 Laterveer, Robert
10 Fasel, Jean
10 Ormsby, Kyle M.
10 Röndigs, Oliver
10 Walker, Mark E.
9 Ayoub, Joseph
9 Bondarko, Mikhail Vladimirovich
9 Friedlander, Eric Mark
9 Gille, Stefan G.
9 Hasemeyer, Christian
9 Heller, Jeremiah
9 Krishna, Amalendu
8 Dugger, Daniel
8 Geisser, Thomas H.
8 Kelly, Shane
8 Voisin, Claire
7 Ananyevskiy, Alexey
7 Garkusha, Grigory
7 Hoyois, Marc
7 Ivorra, Florian
7 Kuniba, Atsuo
7 Marcolli, Matilde
7 Rosenschon, Andreas
7 Wendt, Matthias
7 Wickelgren, Kirsten G.
6 Binda, Federico
6 Hornbostel, Jens
6 Kerz, Moritz C.
6 Nguyêñ Duy Tân
6 Pelaez, Pablo
6 Saito, Shuji
6 Schmidt, Alexander
6 Spitzweck, Markus
6 Vishik, Alexander
6 Yamazaki, Takao
5 Ahrens, Benedikt
5 Bachmann, Tom
5 Barbieri Viale, Luca
5 Becher, Karim Johannes
5 Choudhury, Utsav
5 Cortiñas, Guillermo H.
5 Elgueta, Josep
5 Guletskiǐ, Vladimir
5 Huber-Klawitter, Annette
5 Kapranov, Mikhail M.
5 Merkur’ev, Aleksandr Sergeevich
5 Morel, Fabien
5 Positselski, Leonid Efimovich
5 Rülling, Kay
5 Scholbach, Jakob
5 Suslin, Andreĭ Aleksandrovich
5 Williams, Ben
4 Baez, John C.
4 Cegarra, Antonio Martínez
4 Cisinski, Denis-Charles
4 Crane, Louis
4 Crans, Sjoerd E.
4 Guillou, Bertrand J.
4 Itzykson, Claude
4 Karoubi, Max
4 Karpenko, Nikita Aleksandrovich
4 Kondo, Satoshi
4 Kříž, Igor
4 Matzri, Eliyahu
4 Okado, Masato
4 Park, Jinhyun
4 Quadrelli, Claudio
4 Quick, Gereon
4 Schlichting, Marco
4 Shabat, George B.
4 Szabo, Richard J.
4 Vezzani, Alberto
4 Vezzosi, Gabriele
4 Voineagu, Mircea Alexandru
4 Yasuda, Seidai
4 Yetter, David N.
3 Akhtar, Reza
3 Berrick, A. Jon
3 Biglari, Shahram
3 Borghesi, Simone
3 Carrasco, Pilar C.
3 Carter, J. Scott
3 Chebolu, Sunil K.
3 Colliot-Thélène, Jean-Louis
3 Coquand, Thierry
3 Doran, Brent
3 Efrat, Ido
3 Fu, Lie
...and 639 more Authors
all top 5

Cited in 162 Serials

85 Advances in Mathematics
73 Journal of Pure and Applied Algebra
34 Journal of Algebra
32 Journal of \(K\)-Theory
31 Transactions of the American Mathematical Society
26 Compositio Mathematica
24 Mathematische Annalen
20 Documenta Mathematica
18 Mathematische Zeitschrift
18 Algebraic & Geometric Topology
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Duke Mathematical Journal
16 Inventiones Mathematicae
16 Journal of Number Theory
15 Manuscripta Mathematica
15 Journal of the Institute of Mathematics of Jussieu
14 Communications in Mathematical Physics
14 Journal of Algebraic Geometry
14 Journal of Mathematical Sciences (New York)
14 Geometry & Topology
13 Proceedings of the American Mathematical Society
13 \(K\)-Theory
12 Applied Categorical Structures
12 Selecta Mathematica. New Series
11 Journal of Homotopy and Related Structures
10 Annals of Mathematics. Second Series
9 St. Petersburg Mathematical Journal
8 Publications Mathématiques
8 Journal für die Reine und Angewandte Mathematik
8 Journal of the American Mathematical Society
7 Journal of Mathematical Physics
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Rendiconti del Seminario Matematico della Università di Padova
7 Journal of the European Mathematical Society (JEMS)
7 Forum of Mathematics, Sigma
6 Communications in Algebra
6 Annales de l’Institut Fourier
6 Bulletin of the American Mathematical Society. New Series
5 Theoretical and Mathematical Physics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Cahiers de Topologie et Géométrie Différentielle Catégoriques
5 Topology and its Applications
5 International Journal of Number Theory
5 Journal of Topology
5 Research in the Mathematical Sciences
5 Annals of \(K\)-Theory
4 Letters in Mathematical Physics
4 Bulletin of the London Mathematical Society
4 Functional Analysis and its Applications
4 Journal of Combinatorial Theory. Series A
4 Journal of the Mathematical Society of Japan
4 Nagoya Mathematical Journal
4 International Journal of Mathematics
4 Journal of Knot Theory and its Ramifications
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Discrete Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Tohoku Mathematical Journal. Second Series
3 Transformation Groups
3 Journal of High Energy Physics
3 Algebra & Number Theory
3 Japanese Journal of Mathematics. 3rd Series
2 Mathematical Notes
2 Nuclear Physics. B
2 Russian Mathematical Surveys
2 Canadian Journal of Mathematics
2 Collectanea Mathematica
2 Commentarii Mathematici Helvetici
2 Geometriae Dedicata
2 International Journal of Mathematics and Mathematical Sciences
2 Mathematische Nachrichten
2 Memoirs of the American Mathematical Society
2 Michigan Mathematical Journal
2 Pacific Journal of Mathematics
2 European Journal of Combinatorics
2 Forum Mathematicum
2 Sugaku Expositions
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 Vestnik St. Petersburg University. Mathematics
2 Journal of Algebraic Combinatorics
2 Annales Mathématiques Blaise Pascal
2 The New York Journal of Mathematics
2 Theory and Applications of Categories
2 Sbornik: Mathematics
2 Izvestiya: Mathematics
2 Lobachevskii Journal of Mathematics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Proceedings of the Steklov Institute of Mathematics
2 Logical Methods in Computer Science
2 Journal of Singularities
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Kyoto Journal of Mathematics
2 European Journal of Mathematics
2 Journal de l’École Polytechnique – Mathématiques
2 Tunisian Journal of Mathematics
1 Discrete Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Moscow University Mathematics Bulletin
...and 62 more Serials
all top 5

Cited in 40 Fields

598 Algebraic geometry (14-XX)
281 \(K\)-theory (19-XX)
209 Category theory; homological algebra (18-XX)
204 Algebraic topology (55-XX)
149 Number theory (11-XX)
78 Group theory and generalizations (20-XX)
55 Associative rings and algebras (16-XX)
53 Manifolds and cell complexes (57-XX)
48 Field theory and polynomials (12-XX)
45 Quantum theory (81-XX)
33 Commutative algebra (13-XX)
27 Several complex variables and analytic spaces (32-XX)
26 Nonassociative rings and algebras (17-XX)
24 Mathematical logic and foundations (03-XX)
22 Combinatorics (05-XX)
16 Convex and discrete geometry (52-XX)
12 Differential geometry (53-XX)
12 Global analysis, analysis on manifolds (58-XX)
12 Computer science (68-XX)
9 Functions of a complex variable (30-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 Topological groups, Lie groups (22-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
5 General and overarching topics; collections (00-XX)
5 History and biography (01-XX)
5 Partial differential equations (35-XX)
5 Functional analysis (46-XX)
5 Relativity and gravitational theory (83-XX)
4 Special functions (33-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Measure and integration (28-XX)
3 Geometry (51-XX)
3 General topology (54-XX)
2 General algebraic systems (08-XX)
2 Probability theory and stochastic processes (60-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year

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