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Aumann, Robert John

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Author ID: aumann.robert-john Recent zbMATH articles by "Aumann, Robert John"
Published as: Aumann, Robert J.; Aumann, R. J.; Aumann, Robert; Aumann, Robert John
Homepage: http://www.ma.huji.ac.il/~raumann/
External Links: MGP · Wikidata · dblp · GND · IdRef
Awards: Nobel Memorial Prize in Economic Sciences (2005)
Documents Indexed: 86 Publications since 1956, including 3 Books
3 Contributions as Editor · 4 Further Contributions
Biographic References: 10 Publications
Co-Authors: 22 Co-Authors with 35 Joint Publications
510 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

75 Publications have been cited 5,350 times in 4,032 Documents Cited by Year
Integrals of set-valued functions. Zbl 0163.06301
Aumann, R. J.
524
1965
A definition of subjective probability. Zbl 0114.07204
Anscombe, F. J.; Aumann, R. J.
432
1963
Markets with a continuum of traders. Zbl 0137.39003
Aumann, R. J.
324
1964
A general theory of equilibrium selection in games. With a foreword by Robert Aumann. Zbl 0693.90098
Harsanyi, John C.; Selten, Reinhard
313
1988
Agreeing to disagree. Zbl 0379.62003
Aumann, Robert J.
312
1976
Subjectivity and correlation in randomized strategies. Zbl 0297.90106
Aumann, Robert J.
276
1974
Game theoretic analysis of a bankruptcy problem from the Talmud. Zbl 0578.90100
Aumann, Robert J.; Maschler, Michael
268
1985
Values of non-atomic games. Zbl 0311.90084
Aumann, R. J.; Shapley, L. S.
245
1974
Correlated equilibrium as an expression of Bayesian rationality. Zbl 0633.90094
Aumann, Robert J.
242
1987
Cooperative games with coalition structures. Zbl 0313.90074
Aumann, R. J.; Dreze, J. H.
226
1974
Acceptable points in general cooperative \(n\)-person games. Zbl 0085.13005
Aumann, Robert J.
215
1959
Utility theory without the completeness axiom. Zbl 0121.15202
Aumann, R. J.
164
1962
Epistemic conditions for Nash equilibrium. Zbl 0841.90125
Aumann, Robert J.; Brandenburger, Adam
138
1995
Existence of competitive equilibria in markets with a continuum of traders. Zbl 0142.17201
Aumann, R. J.
130
1966
The bargaining set for cooperative games. Zbl 0132.14003
Aumann, Robert J.; Maschler, Michael
129
1964
Repeated games with incomplete information. With the collaboration of Richard E. Stearns. Zbl 0972.91501
Aumann, Robert J.; Maschler, Michael B.
91
1995
Backward induction and common knowledge of rationality. Zbl 0833.90132
Aumann, Robert J.
86
1995
The core of a cooperative game without side payments. Zbl 0099.36602
Aumann, Robert J.
82
1961
Interactive epistemology. I: Knowledge. Zbl 0961.91040
Aumann, Robert J.
73
1999
Von Neumann-Morgenstern solutions to cooperative games without side payments. Zbl 0096.14706
Aumann, R. J.; Peleg, B.
69
1960
Mixed and behavior strategies in infinite extensive games. Zbl 0173.47803
Aumann, R. J.
60
1964
Cooperation and bounded recall. Zbl 0727.90103
Aumann, Robert J.; Sorin, Sylvain
57
1989
An axiomatization of the non-transferable utility value. Zbl 0583.90110
Aumann, Robert J.
55
1985
Long cheap talk. Zbl 1154.91304
Aumann, Robert J.; Hart, Sergiu
48
2003
Values of markets with a continuum of traders. Zbl 0325.90082
Aumann, Robert J.
46
1975
A variational problem arising in economics. Zbl 0137.39201
Aumann, R. J.; Perles, M.
46
1965
Long-term competition – a game-theoretic analysis. Zbl 0841.90138
Aumann, Robert J.; Shapley, Lloyd S.
45
1994
An economic index of riskiness. Zbl 1341.91040
Aumann, Robert J.; Serrano, Roberto
43
2008
Interactive epistemology. II: Probability. Zbl 0961.91039
Aumann, Robert J.
39
1999
Measurable utility and the measurable choice theorem. Zbl 0221.90003
Aumann, Robert J.
39
1969
Bi-convexity and bi-martingales. Zbl 0607.52001
Aumann, Robert J.; Hart, Sergiu
33
1986
Survey of repeated games. Zbl 0493.90094
Aumann, Robert J.
33
1981
Endogenous formation of links between players and of coalitions: an application of the Shapley value. Zbl 0712.90098
Aumann, Robert J.; Myerson, Roger B.
27
1989
Some thoughts on the minimax principle. Zbl 0225.90062
Aumann, R. J.; Maschler, M.
27
1972
Power and taxes. Zbl 0367.90016
Aumann, Robert J.; Kurz, Mordecai
26
1977
The absent-minded driver. Zbl 0885.90001
Aumann, Robert J.; Hart, Sergiu; Perry, Motty
23
1997
A note on Gale’s example. Zbl 0285.90007
Aumann, R. J.; Peleg, B.
22
1974
Rationality and bounded rationality. Zbl 0904.90188
Aumann, Robert J.
22
1997
On the centipede game. Zbl 0911.90354
Aumann, Robert J.
21
1998
Handbook of game theory with economic applications. Vol. 1. Zbl 0874.00032
20
1992
Approximate purification of mixed strategies. Zbl 0532.90101
Aumann, R. J.; Katznelson, Y.; Radner, R.; Rosenthal, R. W.; Weiss, B.
19
1983
Utility theory without the completeness axiom. A correction. Zbl 0133.13004
Aumann, R. J.
19
1964
Borel structures for function spaces. Zbl 0101.28401
Aumann, R. J.
19
1961
Acceptable points in general cooperative \(n\)-person games. Zbl 1054.91502
Aumann, Robert J.
17
1999
Common priors: a reply to Gul. Zbl 1073.91514
Aumann, Robert J.
17
1998
Almost strictly competitive games. Zbl 0111.33405
Aumann, R. J.
17
1961
Acceptable points in games of perfect information. Zbl 0093.33004
Aumann, Robert J.
16
1960
On the non-transferable utility value: A comment on the Roth-Shafer examples. Zbl 0592.90103
Aumann, Robert J.
15
1985
Values of markets with satiation or fixed prices. Zbl 0627.90012
Aumann, Robert J.; Drèze, Jacques H.
14
1986
Power and taxes in a multi-commodity economy. Zbl 0363.90017
Aumann, R. J.; Kurz, M.
14
1977
An elementary proof that integration preserves uppersemicontinuity. Zbl 0352.28003
Aumann, Robert J.
12
1976
Asphericity of alternating knots. Zbl 0078.16403
Aumann, Robert J.
12
1956
Nash equilibria are not self-enforcing. Zbl 0709.90104
Aumann, Robert J.
10
1990
A method for computing the kernel of \(n\)-person games. Zbl 0133.43104
Aumann, R. J.; Peleg, B.; Rabinowitz, P.
10
1965
Handbook of game theory with economic applications. Vol. 2. Zbl 0899.90166
9
1994
The St. Petersburg paradox: A discussion of some recent comments. Zbl 0364.90149
Aumann, Robert J.
8
1977
The forgetful passenger. Zbl 0885.90002
Aumann, Robert J.; Hart, Sergiu; Perry, Motty
8
1997
Homotopy theory. Compiled by Robert J. Aumann. Zbl 0053.43402
Whitehead, George W.
7
1953
Handbook of game theory with economic applications. Vol. 3. Zbl 0993.90001
6
2002
The logic of backward induction. Zbl 1330.91038
Arieli, Itai; Aumann, Robert J.
4
2015
Mixed and behavior strategies in infinite extensive games. Zbl 0189.20302
Aumann, R. J.
4
1967
Some non-superadditive games, and their Shapley values, in the talmud. Zbl 1211.91026
Aumann, Robert J.
4
2010
Spaces of measurable transformations. Zbl 0099.04301
Aumann, Robert J.
3
1960
Power and public goods. Zbl 0617.90003
Aumann, R. J.; Kurz, M.; Neyman, A.
2
1987
Economic applications of the Shapley value. Zbl 0862.90056
Aumann, Robert J.
2
1994
On the rate of convergence of the core. Zbl 0428.90006
Aumann, Robert J.
2
1979
Voting for public goods. Zbl 0521.90012
Aumann, R. J.; Kurz, M.; Neyman, A.
1
1983
Epistemic conditions for Nash equilibrium. Zbl 1384.03098
Aumann, Robert J.; Brandenburger, Adam
1
2016
Markets with a continuum of traders. Zbl 0323.90008
Aumann, R. J.
1
1974
Existence of competitive equilibria in markets with a continuum of traders. Zbl 0324.90009
Aumann, R. J.
1
1974
Orderable set functions and continuity. III: Orderability and absolute continuity. Zbl 0347.28005
Aumann, Robert J.; Rothblum, Uriel G.
1
1977
On choosing a function at random. Zbl 0135.18704
Aumann, R. J.
1
1963
Game engineering. Zbl 1329.91026
Aumann, Robert J.
1
2008
The Shapley value. Zbl 0862.90138
Aumann, Robert J.
1
1994
Core and value for a public-goods economy: An example. Zbl 0377.90107
Aumann, R. J.; Gardner, R. J.; Rosenthal, R. W.
1
1977
Epistemic conditions for Nash equilibrium. Zbl 1384.03098
Aumann, Robert J.; Brandenburger, Adam
1
2016
The logic of backward induction. Zbl 1330.91038
Arieli, Itai; Aumann, Robert J.
4
2015
Some non-superadditive games, and their Shapley values, in the talmud. Zbl 1211.91026
Aumann, Robert J.
4
2010
An economic index of riskiness. Zbl 1341.91040
Aumann, Robert J.; Serrano, Roberto
43
2008
Game engineering. Zbl 1329.91026
Aumann, Robert J.
1
2008
Long cheap talk. Zbl 1154.91304
Aumann, Robert J.; Hart, Sergiu
48
2003
Handbook of game theory with economic applications. Vol. 3. Zbl 0993.90001
6
2002
Interactive epistemology. I: Knowledge. Zbl 0961.91040
Aumann, Robert J.
73
1999
Interactive epistemology. II: Probability. Zbl 0961.91039
Aumann, Robert J.
39
1999
Acceptable points in general cooperative \(n\)-person games. Zbl 1054.91502
Aumann, Robert J.
17
1999
On the centipede game. Zbl 0911.90354
Aumann, Robert J.
21
1998
Common priors: a reply to Gul. Zbl 1073.91514
Aumann, Robert J.
17
1998
The absent-minded driver. Zbl 0885.90001
Aumann, Robert J.; Hart, Sergiu; Perry, Motty
23
1997
Rationality and bounded rationality. Zbl 0904.90188
Aumann, Robert J.
22
1997
The forgetful passenger. Zbl 0885.90002
Aumann, Robert J.; Hart, Sergiu; Perry, Motty
8
1997
Epistemic conditions for Nash equilibrium. Zbl 0841.90125
Aumann, Robert J.; Brandenburger, Adam
138
1995
Repeated games with incomplete information. With the collaboration of Richard E. Stearns. Zbl 0972.91501
Aumann, Robert J.; Maschler, Michael B.
91
1995
Backward induction and common knowledge of rationality. Zbl 0833.90132
Aumann, Robert J.
86
1995
Long-term competition – a game-theoretic analysis. Zbl 0841.90138
Aumann, Robert J.; Shapley, Lloyd S.
45
1994
Handbook of game theory with economic applications. Vol. 2. Zbl 0899.90166
9
1994
Economic applications of the Shapley value. Zbl 0862.90056
Aumann, Robert J.
2
1994
The Shapley value. Zbl 0862.90138
Aumann, Robert J.
1
1994
Handbook of game theory with economic applications. Vol. 1. Zbl 0874.00032
20
1992
Nash equilibria are not self-enforcing. Zbl 0709.90104
Aumann, Robert J.
10
1990
Cooperation and bounded recall. Zbl 0727.90103
Aumann, Robert J.; Sorin, Sylvain
57
1989
Endogenous formation of links between players and of coalitions: an application of the Shapley value. Zbl 0712.90098
Aumann, Robert J.; Myerson, Roger B.
27
1989
A general theory of equilibrium selection in games. With a foreword by Robert Aumann. Zbl 0693.90098
Harsanyi, John C.; Selten, Reinhard
313
1988
Correlated equilibrium as an expression of Bayesian rationality. Zbl 0633.90094
Aumann, Robert J.
242
1987
Power and public goods. Zbl 0617.90003
Aumann, R. J.; Kurz, M.; Neyman, A.
2
1987
Bi-convexity and bi-martingales. Zbl 0607.52001
Aumann, Robert J.; Hart, Sergiu
33
1986
Values of markets with satiation or fixed prices. Zbl 0627.90012
Aumann, Robert J.; Drèze, Jacques H.
14
1986
Game theoretic analysis of a bankruptcy problem from the Talmud. Zbl 0578.90100
Aumann, Robert J.; Maschler, Michael
268
1985
An axiomatization of the non-transferable utility value. Zbl 0583.90110
Aumann, Robert J.
55
1985
On the non-transferable utility value: A comment on the Roth-Shafer examples. Zbl 0592.90103
Aumann, Robert J.
15
1985
Approximate purification of mixed strategies. Zbl 0532.90101
Aumann, R. J.; Katznelson, Y.; Radner, R.; Rosenthal, R. W.; Weiss, B.
19
1983
Voting for public goods. Zbl 0521.90012
Aumann, R. J.; Kurz, M.; Neyman, A.
1
1983
Survey of repeated games. Zbl 0493.90094
Aumann, Robert J.
33
1981
On the rate of convergence of the core. Zbl 0428.90006
Aumann, Robert J.
2
1979
Power and taxes. Zbl 0367.90016
Aumann, Robert J.; Kurz, Mordecai
26
1977
Power and taxes in a multi-commodity economy. Zbl 0363.90017
Aumann, R. J.; Kurz, M.
14
1977
The St. Petersburg paradox: A discussion of some recent comments. Zbl 0364.90149
Aumann, Robert J.
8
1977
Orderable set functions and continuity. III: Orderability and absolute continuity. Zbl 0347.28005
Aumann, Robert J.; Rothblum, Uriel G.
1
1977
Core and value for a public-goods economy: An example. Zbl 0377.90107
Aumann, R. J.; Gardner, R. J.; Rosenthal, R. W.
1
1977
Agreeing to disagree. Zbl 0379.62003
Aumann, Robert J.
312
1976
An elementary proof that integration preserves uppersemicontinuity. Zbl 0352.28003
Aumann, Robert J.
12
1976
Values of markets with a continuum of traders. Zbl 0325.90082
Aumann, Robert J.
46
1975
Subjectivity and correlation in randomized strategies. Zbl 0297.90106
Aumann, Robert J.
276
1974
Values of non-atomic games. Zbl 0311.90084
Aumann, R. J.; Shapley, L. S.
245
1974
Cooperative games with coalition structures. Zbl 0313.90074
Aumann, R. J.; Dreze, J. H.
226
1974
A note on Gale’s example. Zbl 0285.90007
Aumann, R. J.; Peleg, B.
22
1974
Markets with a continuum of traders. Zbl 0323.90008
Aumann, R. J.
1
1974
Existence of competitive equilibria in markets with a continuum of traders. Zbl 0324.90009
Aumann, R. J.
1
1974
Some thoughts on the minimax principle. Zbl 0225.90062
Aumann, R. J.; Maschler, M.
27
1972
Measurable utility and the measurable choice theorem. Zbl 0221.90003
Aumann, Robert J.
39
1969
Mixed and behavior strategies in infinite extensive games. Zbl 0189.20302
Aumann, R. J.
4
1967
Existence of competitive equilibria in markets with a continuum of traders. Zbl 0142.17201
Aumann, R. J.
130
1966
Integrals of set-valued functions. Zbl 0163.06301
Aumann, R. J.
524
1965
A variational problem arising in economics. Zbl 0137.39201
Aumann, R. J.; Perles, M.
46
1965
A method for computing the kernel of \(n\)-person games. Zbl 0133.43104
Aumann, R. J.; Peleg, B.; Rabinowitz, P.
10
1965
Markets with a continuum of traders. Zbl 0137.39003
Aumann, R. J.
324
1964
The bargaining set for cooperative games. Zbl 0132.14003
Aumann, Robert J.; Maschler, Michael
129
1964
Mixed and behavior strategies in infinite extensive games. Zbl 0173.47803
Aumann, R. J.
60
1964
Utility theory without the completeness axiom. A correction. Zbl 0133.13004
Aumann, R. J.
19
1964
A definition of subjective probability. Zbl 0114.07204
Anscombe, F. J.; Aumann, R. J.
432
1963
On choosing a function at random. Zbl 0135.18704
Aumann, R. J.
1
1963
Utility theory without the completeness axiom. Zbl 0121.15202
Aumann, R. J.
164
1962
The core of a cooperative game without side payments. Zbl 0099.36602
Aumann, Robert J.
82
1961
Borel structures for function spaces. Zbl 0101.28401
Aumann, R. J.
19
1961
Almost strictly competitive games. Zbl 0111.33405
Aumann, R. J.
17
1961
Von Neumann-Morgenstern solutions to cooperative games without side payments. Zbl 0096.14706
Aumann, R. J.; Peleg, B.
69
1960
Acceptable points in games of perfect information. Zbl 0093.33004
Aumann, Robert J.
16
1960
Spaces of measurable transformations. Zbl 0099.04301
Aumann, Robert J.
3
1960
Acceptable points in general cooperative \(n\)-person games. Zbl 0085.13005
Aumann, Robert J.
215
1959
Asphericity of alternating knots. Zbl 0078.16403
Aumann, Robert J.
12
1956
Homotopy theory. Compiled by Robert J. Aumann. Zbl 0053.43402
Whitehead, George W.
7
1953
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Cited by 3,564 Authors

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24 Marinacci, Massimo
23 Tijs, Stef H.
22 Thomson, William
22 Yannelis, Nicholas Constantine
21 Gil, María Angeles
21 Peleg, Bezalel
21 Samet, Dov
20 Aumann, Robert John
19 Khan, Mohammed Ali
19 Papageorgiou, Nikolaos S.
18 Einy, Ezra
18 Li, Shoumei
18 Perea, Andrés
18 Wooders, Myrna Holtz
17 López-Díaz, Miguel
17 Moreno-Ternero, Juan D.
17 Wakker, Peter Paul
16 Forges, Françoise
16 Hart, Sergiu
16 Maccheroni, Fabio
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15 Gilboa, Itzhak
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14 LaValle, Irving H.
13 Herings, P. Jean-Jacques
13 Kaneko, Mamoru
13 Mas-Colell, Andreu
13 Moulin, Hervé C.
13 Serrano, Roberto
13 Solan, Eilon
13 Tsakas, Elias
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12 Casajus, André
12 Grabisch, Michel
12 Moreno-García, Emma
12 Ramos-Guajardo, Ana Belén
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12 Weber, Shlomo
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9 Balder, Erik J.
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9 Chambers, Christopher P.
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9 Hougaard, Jens Leth
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Cited in 366 Serials

410 Games and Economic Behavior
400 Journal of Economic Theory
353 Journal of Mathematical Economics
255 International Journal of Game Theory
188 Mathematical Social Sciences
154 Theory and Decision
152 Economic Theory
122 Fuzzy Sets and Systems
93 Journal of Mathematical Analysis and Applications
81 European Journal of Operational Research
81 International Game Theory Review
73 Social Choice and Welfare
70 Economics Letters
44 Annals of Operations Research
41 Games
40 Synthese
36 Journal of Optimization Theory and Applications
29 Information Sciences
29 Journal of Mathematical Psychology
29 Top
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28 International Journal of Approximate Reasoning
26 Dynamic Games and Applications
22 Journal of Risk and Uncertainty
21 Applied Mathematics and Computation
21 Operations Research Letters
21 Mathematical Methods of Operations Research
20 Studia Logica
18 Israel Journal of Mathematics
18 Journal of Economic Dynamics & Control
18 Mathematical Programming. Series A. Series B
17 Insurance Mathematics & Economics
15 Journal of Philosophical Logic
15 Review of Economic Design
15 Journal of Dynamics and Games
14 Theoretical Computer Science
14 Transactions of the American Mathematical Society
13 Discrete Applied Mathematics
12 Journal of Econometrics
12 Mathematics of Operations Research
12 Optimization
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10 SIAM Journal on Control and Optimization
10 Information and Computation
10 Automation and Remote Control
10 CEJOR. Central European Journal of Operations Research
10 Set-Valued and Variational Analysis
9 Journal of Multivariate Analysis
9 Stochastic Analysis and Applications
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9 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
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8 Matematicheskaya Teoriya Igr i eë Prilozheniya
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7 Journal of Differential Equations
7 The Journal of Mathematical Sociology
7 Finance and Stochastics
7 Journal of Combinatorial Optimization
7 Decisions in Economics and Finance
7 Nonlinear Oscillations
6 Computers & Mathematics with Applications
6 Mathematical Notes
6 The Annals of Probability
6 Journal of Soviet Mathematics
6 Proceedings of the American Mathematical Society
6 Siberian Mathematical Journal
6 Trabajos de Estadistica y de Investigacion Operativa
6 Journal of Mathematical Sciences (New York)
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Cited in 50 Fields

3,239 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
260 Operations research, mathematical programming (90-XX)
257 Mathematical logic and foundations (03-XX)
254 Measure and integration (28-XX)
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183 Computer science (68-XX)
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76 Systems theory; control (93-XX)
75 Real functions (26-XX)
68 Functional analysis (46-XX)
60 Ordinary differential equations (34-XX)
57 General topology (54-XX)
38 Operator theory (47-XX)
32 Convex and discrete geometry (52-XX)
31 Numerical analysis (65-XX)
25 Combinatorics (05-XX)
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19 History and biography (01-XX)
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5 Linear and multilinear algebra; matrix theory (15-XX)
4 Category theory; homological algebra (18-XX)
4 Geophysics (86-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Group theory and generalizations (20-XX)
2 Functions of a complex variable (30-XX)
2 Integral transforms, operational calculus (44-XX)
2 Algebraic topology (55-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

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