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Aumann, Robert John

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: 87 Publications since 1956, including 4 Books
3 Contributions as Editor · 5 Further Contributions
Biographic References: 11 Publications
Co-Authors: 22 Co-Authors with 36 Joint Publications
556 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

78 Publications have been cited 6,181 times in 4,926 Documents Cited by Year
Integrals of set-valued functions. Zbl 0163.06301
Aumann, R. J.
594
1965
A definition of subjective probability. Zbl 0114.07204
Anscombe, F. J.; Aumann, R. J.
523
1963
A general theory of equilibrium selection in games. With a foreword by Robert Aumann. Zbl 0693.90098
Harsanyi, John C.; Selten, Reinhard
416
1988
Agreeing to disagree. Zbl 0379.62003
Aumann, Robert J.
378
1976
Markets with a continuum of traders. Zbl 0137.39003
Aumann, R. J.
355
1964
Subjectivity and correlation in randomized strategies. Zbl 0297.90106
Aumann, Robert J.
331
1974
Game theoretic analysis of a bankruptcy problem from the Talmud. Zbl 0578.90100
Aumann, Robert J.; Maschler, Michael
325
1985
Correlated equilibrium as an expression of Bayesian rationality. Zbl 0633.90094
Aumann, Robert J.
295
1987
Values of non-atomic games. Zbl 0311.90084
Aumann, R. J.; Shapley, L. S.
286
1974
Cooperative games with coalition structures. Zbl 0313.90074
Aumann, R. J.; Dreze, J. H.
267
1974
Acceptable points in general cooperative \(n\)-person games. Zbl 0085.13005
Aumann, Robert J.
262
1959
Repeated games with incomplete information. With the collaboration of Richard E. Stearns. Zbl 0972.91501
Aumann, Robert J.; Maschler, Michael B.
217
1995
Utility theory without the completeness axiom. Zbl 0121.15202
Aumann, R. J.
193
1962
Epistemic conditions for Nash equilibrium. Zbl 0841.90125
Aumann, Robert J.; Brandenburger, Adam
163
1995
The bargaining set for cooperative games. Zbl 0132.14003
Aumann, Robert J.; Maschler, Michael
149
1964
Existence of competitive equilibria in markets with a continuum of traders. Zbl 0142.17201
Aumann, R. J.
140
1966
The core of a cooperative game without side payments. Zbl 0099.36602
Aumann, Robert J.
110
1961
Backward induction and common knowledge of rationality. Zbl 0833.90132
Aumann, Robert J.
100
1995
Interactive epistemology. I: Knowledge. Zbl 0961.91040
Aumann, Robert J.
89
1999
Von Neumann-Morgenstern solutions to cooperative games without side payments. Zbl 0096.14706
Aumann, R. J.; Peleg, B.
80
1960
Long cheap talk. Zbl 1154.91304
Aumann, Robert J.; Hart, Sergiu
73
2003
Survey of repeated games. Zbl 0493.90094
Aumann, Robert J.
72
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.
71
1989
Mixed and behavior strategies in infinite extensive games. Zbl 0173.47803
Aumann, R. J.
71
1964
Cooperation and bounded recall. Zbl 0727.90103
Aumann, Robert J.; Sorin, Sylvain
61
1989
An axiomatization of the non-transferable utility value. Zbl 0583.90110
Aumann, Robert J.
58
1985
Long-term competition – a game-theoretic analysis. Zbl 0841.90138
Aumann, Robert J.; Shapley, Lloyd S.
54
1994
An economic index of riskiness. Zbl 1341.91040
Aumann, Robert J.; Serrano, Roberto
53
2008
A variational problem arising in economics. Zbl 0137.39201
Aumann, R. J.; Perles, M.
52
1965
Measurable utility and the measurable choice theorem. Zbl 0221.90003
Aumann, Robert J.
51
1969
Values of markets with a continuum of traders. Zbl 0325.90082
Aumann, Robert J.
50
1975
Interactive epistemology. II: Probability. Zbl 0961.91039
Aumann, Robert J.
45
1999
Bi-convexity and bi-martingales. Zbl 0607.52001
Aumann, Robert J.; Hart, Sergiu
43
1986
Handbook of game theory with economic applications. Vol. 1. Zbl 0874.00032
39
1992
Rationality and bounded rationality. Zbl 0904.90188
Aumann, Robert J.
30
1997
Nash equilibria are not self-enforcing. Zbl 0709.90104
Aumann, Robert J.
30
1990
Borel structures for function spaces. Zbl 0101.28401
Aumann, R. J.
29
1961
Some thoughts on the minimax principle. Zbl 0225.90062
Aumann, R. J.; Maschler, M.
29
1972
Power and taxes. Zbl 0367.90016
Aumann, Robert J.; Kurz, Mordecai
28
1977
The absent-minded driver. Zbl 0885.90001
Aumann, Robert J.; Hart, Sergiu; Perry, Motty
27
1997
On the centipede game. Zbl 0911.90354
Aumann, Robert J.
26
1998
Handbook of game theory with economic applications. Vol. 3. Zbl 0993.90001
26
2002
A note on Gale’s example. Zbl 0285.90007
Aumann, R. J.; Peleg, B.
26
1974
Acceptable points in games of perfect information. Zbl 0093.33004
Aumann, Robert J.
22
1960
On the non-transferable utility value: A comment on the Roth-Shafer examples. Zbl 0592.90103
Aumann, Robert J.
21
1985
Common priors: a reply to Gul. Zbl 1073.91514
Aumann, Robert J.
20
1998
Approximate purification of mixed strategies. Zbl 0532.90101
Aumann, R. J.; Katznelson, Y.; Radner, R.; Rosenthal, R. W.; Weiss, B.
20
1983
Utility theory without the completeness axiom. A correction. Zbl 0133.13004
Aumann, R. J.
20
1964
Almost strictly competitive games. Zbl 0111.33405
Aumann, R. J.
18
1961
Acceptable points in general cooperative \(n\)-person games. Zbl 1054.91502
Aumann, Robert J.
17
1999
Power and taxes in a multi-commodity economy. Zbl 0363.90017
Aumann, R. J.; Kurz, M.
15
1977
Values of markets with satiation or fixed prices. Zbl 0627.90012
Aumann, Robert J.; Drèze, Jacques H.
15
1986
Asphericity of alternating knots. Zbl 0078.16403
Aumann, Robert J.
14
1956
An elementary proof that integration preserves uppersemicontinuity. Zbl 0352.28003
Aumann, Robert J.
13
1976
Handbook of game theory with economic applications. Vol. 2. Zbl 0899.90166
12
1994
A method for computing the kernel of \(n\)-person games. Zbl 0133.43104
Aumann, R. J.; Peleg, B.; Rabinowitz, P.
10
1965
The forgetful passenger. Zbl 0885.90002
Aumann, Robert J.; Hart, Sergiu; Perry, Motty
9
1997
The St. Petersburg paradox: A discussion of some recent comments. Zbl 0364.90149
Aumann, Robert J.
9
1977
The logic of backward induction. Zbl 1330.91038
Arieli, Itai; Aumann, Robert J.
8
2015
Homotopy theory. Compiled by Robert J. Aumann. Zbl 0053.43402
Whitehead, George W.
7
1953
Mixed and behavior strategies in infinite extensive games. Zbl 0189.20302
Aumann, R. J.
6
1967
Some non-superadditive games, and their Shapley values, in the talmud. Zbl 1211.91026
Aumann, Robert J.
5
2010
Economic applications of the Shapley value. Zbl 0862.90056
Aumann, Robert J.
3
1994
On the rate of convergence of the core. Zbl 0428.90006
Aumann, Robert J.
3
1979
Power and public goods. Zbl 0617.90003
Aumann, R. J.; Kurz, M.; Neyman, A.
3
1987
Spaces of measurable transformations. Zbl 0099.04301
Aumann, Robert J.
3
1960
Voting for public goods. Zbl 0521.90012
Aumann, R. J.; Kurz, M.; Neyman, A.
2
1983
Game engineering. Zbl 1329.91026
Aumann, Robert J.
2
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
Working with Mike. Zbl 1152.01312
Aumann, Robert J.
1
2008
The Shapley value. Zbl 0717.90104
Aumann, Robert
1
1990
Existence of competitive equilibria in markets with a continuum of traders. Zbl 0324.90009
Aumann, R. J.
1
1974
Markets with a continuum of traders. Zbl 0323.90008
Aumann, R. J.
1
1974
Epistemic conditions for Nash equilibrium. Zbl 1384.03098
Aumann, Robert J.; Brandenburger, Adam
1
2016
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
Random measure preserving transformations. Zbl 0214.15603
Aumann, R. J.
1
1967
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.
8
2015
Some non-superadditive games, and their Shapley values, in the talmud. Zbl 1211.91026
Aumann, Robert J.
5
2010
An economic index of riskiness. Zbl 1341.91040
Aumann, Robert J.; Serrano, Roberto
53
2008
Game engineering. Zbl 1329.91026
Aumann, Robert J.
2
2008
Working with Mike. Zbl 1152.01312
Aumann, Robert J.
1
2008
Long cheap talk. Zbl 1154.91304
Aumann, Robert J.; Hart, Sergiu
73
2003
Handbook of game theory with economic applications. Vol. 3. Zbl 0993.90001
26
2002
Interactive epistemology. I: Knowledge. Zbl 0961.91040
Aumann, Robert J.
89
1999
Interactive epistemology. II: Probability. Zbl 0961.91039
Aumann, Robert J.
45
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.
26
1998
Common priors: a reply to Gul. Zbl 1073.91514
Aumann, Robert J.
20
1998
Rationality and bounded rationality. Zbl 0904.90188
Aumann, Robert J.
30
1997
The absent-minded driver. Zbl 0885.90001
Aumann, Robert J.; Hart, Sergiu; Perry, Motty
27
1997
The forgetful passenger. Zbl 0885.90002
Aumann, Robert J.; Hart, Sergiu; Perry, Motty
9
1997
Repeated games with incomplete information. With the collaboration of Richard E. Stearns. Zbl 0972.91501
Aumann, Robert J.; Maschler, Michael B.
217
1995
Epistemic conditions for Nash equilibrium. Zbl 0841.90125
Aumann, Robert J.; Brandenburger, Adam
163
1995
Backward induction and common knowledge of rationality. Zbl 0833.90132
Aumann, Robert J.
100
1995
Long-term competition – a game-theoretic analysis. Zbl 0841.90138
Aumann, Robert J.; Shapley, Lloyd S.
54
1994
Handbook of game theory with economic applications. Vol. 2. Zbl 0899.90166
12
1994
Economic applications of the Shapley value. Zbl 0862.90056
Aumann, Robert J.
3
1994
The Shapley value. Zbl 0862.90138
Aumann, Robert J.
1
1994
Handbook of game theory with economic applications. Vol. 1. Zbl 0874.00032
39
1992
Nash equilibria are not self-enforcing. Zbl 0709.90104
Aumann, Robert J.
30
1990
The Shapley value. Zbl 0717.90104
Aumann, Robert
1
1990
Endogenous formation of links between players and of coalitions: an application of the Shapley value. Zbl 0712.90098
Aumann, Robert J.; Myerson, Roger B.
71
1989
Cooperation and bounded recall. Zbl 0727.90103
Aumann, Robert J.; Sorin, Sylvain
61
1989
A general theory of equilibrium selection in games. With a foreword by Robert Aumann. Zbl 0693.90098
Harsanyi, John C.; Selten, Reinhard
416
1988
Correlated equilibrium as an expression of Bayesian rationality. Zbl 0633.90094
Aumann, Robert J.
295
1987
Power and public goods. Zbl 0617.90003
Aumann, R. J.; Kurz, M.; Neyman, A.
3
1987
Bi-convexity and bi-martingales. Zbl 0607.52001
Aumann, Robert J.; Hart, Sergiu
43
1986
Values of markets with satiation or fixed prices. Zbl 0627.90012
Aumann, Robert J.; Drèze, Jacques H.
15
1986
Game theoretic analysis of a bankruptcy problem from the Talmud. Zbl 0578.90100
Aumann, Robert J.; Maschler, Michael
325
1985
An axiomatization of the non-transferable utility value. Zbl 0583.90110
Aumann, Robert J.
58
1985
On the non-transferable utility value: A comment on the Roth-Shafer examples. Zbl 0592.90103
Aumann, Robert J.
21
1985
Approximate purification of mixed strategies. Zbl 0532.90101
Aumann, R. J.; Katznelson, Y.; Radner, R.; Rosenthal, R. W.; Weiss, B.
20
1983
Voting for public goods. Zbl 0521.90012
Aumann, R. J.; Kurz, M.; Neyman, A.
2
1983
Survey of repeated games. Zbl 0493.90094
Aumann, Robert J.
72
1981
On the rate of convergence of the core. Zbl 0428.90006
Aumann, Robert J.
3
1979
Power and taxes. Zbl 0367.90016
Aumann, Robert J.; Kurz, Mordecai
28
1977
Power and taxes in a multi-commodity economy. Zbl 0363.90017
Aumann, R. J.; Kurz, M.
15
1977
The St. Petersburg paradox: A discussion of some recent comments. Zbl 0364.90149
Aumann, Robert J.
9
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
Orderable set functions and continuity. III: Orderability and absolute continuity. Zbl 0347.28005
Aumann, Robert J.; Rothblum, Uriel G.
1
1977
Agreeing to disagree. Zbl 0379.62003
Aumann, Robert J.
378
1976
An elementary proof that integration preserves uppersemicontinuity. Zbl 0352.28003
Aumann, Robert J.
13
1976
Values of markets with a continuum of traders. Zbl 0325.90082
Aumann, Robert J.
50
1975
Subjectivity and correlation in randomized strategies. Zbl 0297.90106
Aumann, Robert J.
331
1974
Values of non-atomic games. Zbl 0311.90084
Aumann, R. J.; Shapley, L. S.
286
1974
Cooperative games with coalition structures. Zbl 0313.90074
Aumann, R. J.; Dreze, J. H.
267
1974
A note on Gale’s example. Zbl 0285.90007
Aumann, R. J.; Peleg, B.
26
1974
Existence of competitive equilibria in markets with a continuum of traders. Zbl 0324.90009
Aumann, R. J.
1
1974
Markets with a continuum of traders. Zbl 0323.90008
Aumann, R. J.
1
1974
Some thoughts on the minimax principle. Zbl 0225.90062
Aumann, R. J.; Maschler, M.
29
1972
Measurable utility and the measurable choice theorem. Zbl 0221.90003
Aumann, Robert J.
51
1969
Mixed and behavior strategies in infinite extensive games. Zbl 0189.20302
Aumann, R. J.
6
1967
Random measure preserving transformations. Zbl 0214.15603
Aumann, R. J.
1
1967
Existence of competitive equilibria in markets with a continuum of traders. Zbl 0142.17201
Aumann, R. J.
140
1966
Integrals of set-valued functions. Zbl 0163.06301
Aumann, R. J.
594
1965
A variational problem arising in economics. Zbl 0137.39201
Aumann, R. J.; Perles, M.
52
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.
355
1964
The bargaining set for cooperative games. Zbl 0132.14003
Aumann, Robert J.; Maschler, Michael
149
1964
Mixed and behavior strategies in infinite extensive games. Zbl 0173.47803
Aumann, R. J.
71
1964
Utility theory without the completeness axiom. A correction. Zbl 0133.13004
Aumann, R. J.
20
1964
A definition of subjective probability. Zbl 0114.07204
Anscombe, F. J.; Aumann, R. J.
523
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.
193
1962
The core of a cooperative game without side payments. Zbl 0099.36602
Aumann, Robert J.
110
1961
Borel structures for function spaces. Zbl 0101.28401
Aumann, R. J.
29
1961
Almost strictly competitive games. Zbl 0111.33405
Aumann, R. J.
18
1961
Von Neumann-Morgenstern solutions to cooperative games without side payments. Zbl 0096.14706
Aumann, R. J.; Peleg, B.
80
1960
Acceptable points in games of perfect information. Zbl 0093.33004
Aumann, Robert J.
22
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.
262
1959
Asphericity of alternating knots. Zbl 0078.16403
Aumann, Robert J.
14
1956
Homotopy theory. Compiled by Robert J. Aumann. Zbl 0053.43402
Whitehead, George W.
7
1953
all top 5

Cited by 4,420 Authors

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25 Yannelis, Nicholas Constantine
24 Khan, Mohammed Ali
24 Marinacci, Massimo
24 Samet, Dov
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21 Forges, Françoise
21 Gil, María Angeles
21 Neyman, Abraham
21 Peleg, Bezalel
21 Perea, Andrés
20 Papageorgiou, Nikolaos S.
19 Einy, Ezra
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16 Gilboa, Itzhak
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15 Casajus, André
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14 Grabisch, Michel
14 Kaneko, Mamoru
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14 Moulin, Hervé C.
14 Renault, Jérôme
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Cited in 419 Serials

478 Games and Economic Behavior
452 Journal of Economic Theory
387 Journal of Mathematical Economics
283 International Journal of Game Theory
198 Mathematical Social Sciences
180 Economic Theory
173 Theory and Decision
135 Fuzzy Sets and Systems
96 Journal of Mathematical Analysis and Applications
92 European Journal of Operational Research
92 International Game Theory Review
79 Economics Letters
78 Social Choice and Welfare
64 Annals of Operations Research
60 Theoretical Economics
58 Econometrica
52 Games
48 Synthese
39 Dynamic Games and Applications
37 Journal of Optimization Theory and Applications
35 Information Sciences
35 International Journal of Approximate Reasoning
33 Artificial Intelligence
33 Journal of Mathematical Psychology
32 Operations Research Letters
31 Top
25 Mathematical Programming. Series A. Series B
25 The B. E. Journal of Theoretical Economics
24 Applied Mathematics and Computation
23 Mathematics of Operations Research
23 Journal of Economic Dynamics & Control
23 Mathematical Methods of Operations Research
22 Journal of Risk and Uncertainty
22 Review of Economic Design
21 Studia Logica
20 Israel Journal of Mathematics
19 Discrete Applied Mathematics
19 SIAM Journal on Control and Optimization
19 Journal of Dynamics and Games
18 International Economic Review
17 Insurance Mathematics & Economics
17 Automation and Remote Control
16 Theoretical Computer Science
15 Journal of Philosophical Logic
14 Transactions of the American Mathematical Society
14 Optimization
14 Set-Valued and Variational Analysis
13 Journal of Econometrics
13 Cybernetics and Systems Analysis
13 International Journal of Economic Theory
12 Information and Computation
12 Matematicheskaya Teoriya Igr i eë Prilozheniya
11 Automatica
11 Kybernetika
11 Operations Research
11 Journal of Systems Science and Complexity
10 Stochastic Analysis and Applications
10 Journal of Logic, Language and Information
10 Theory of Computing Systems
10 CEJOR. Central European Journal of Operations Research
9 Journal of Multivariate Analysis
9 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
9 Decisions in Economics and Finance
8 Computers & Mathematics with Applications
8 Mathematical Notes
8 Statistics & Probability Letters
8 Journal of Economics
8 Finance and Stochastics
8 Soft Computing
8 Journal of Combinatorial Optimization
8 Mathematics and Financial Economics
7 Journal of Differential Equations
7 The Journal of Mathematical Sociology
7 The Annals of Applied Probability
7 Journal of Mathematical Sciences (New York)
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6 The Annals of Probability
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6 Journal of Computational and Applied Mathematics
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6 Proceedings of the American Mathematical Society
6 Siberian Mathematical Journal
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Cited in 52 Fields

3,995 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
326 Operations research, mathematical programming (90-XX)
287 Mathematical logic and foundations (03-XX)
277 Measure and integration (28-XX)
249 Computer science (68-XX)
236 Probability theory and stochastic processes (60-XX)
186 Statistics (62-XX)
149 Calculus of variations and optimal control; optimization (49-XX)
94 Systems theory; control (93-XX)
90 Real functions (26-XX)
73 Functional analysis (46-XX)
71 Ordinary differential equations (34-XX)
60 General topology (54-XX)
44 Operator theory (47-XX)
38 Convex and discrete geometry (52-XX)
34 Combinatorics (05-XX)
33 Numerical analysis (65-XX)
33 Quantum theory (81-XX)
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29 Information and communication theory, circuits (94-XX)
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27 Biology and other natural sciences (92-XX)
23 General and overarching topics; collections (00-XX)
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6 Linear and multilinear algebra; matrix theory (15-XX)
5 Category theory; homological algebra (18-XX)
4 Geophysics (86-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Integral transforms, operational calculus (44-XX)
3 Algebraic topology (55-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Functions of a complex variable (30-XX)
2 Geometry (51-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-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 Differential geometry (53-XX)
1 Mathematics education (97-XX)

Citations by Year

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