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Cantor, Georg

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Author ID: cantor.georg Recent zbMATH articles by "Cantor, Georg"
Published as: Cantor, G.; Cantor, Georg
External Links: MGP · Wikidata · GND · MacTutor
Documents Indexed: 60 Publications since 1868, including 15 Books
Biographic References: 79 Publications

Co-Authors

59 single-authored
1 Lampe, Emil
1 von Dyck, Walther

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 499 times in 351 Documents Cited by Year
Beitrage zur Begründung der transfiniten Mengenlehre. Art. I. JFM 26.0081.01
Cantor, G.
107
1895
Gesammelte Abhandlungen mathematischen und philosophischen Inhalts mit erläuternden Anmerkungen sowie mit Ergänzungen aus dem Briefwechsel Cantor-Dedekind. JFM 58.0043.01
Cantor, G.
56
1932
Beiträge zur Begründung der transfiniten Mengenlehre. Art. II. JFM 28.0061.08
Cantor, G.
38
1897
On infinite linear point manifolds. JFM 15.0452.03
Cantor, G.
34
1882
On the extension of a theorem from the theory of trigonometric series. JFM 04.0101.02
Cantor, G.
31
1872
On the power of perfect sets of points. JFM 16.0460.01
Cantor, G.
25
1884
Contributions to the founding of the theory of transfinite numbers. Translated by P. E. B. Jourdain. JFM 45.0132.05
Cantor, G.
23
1915
About infinite linear manifolds of points. JFM 16.0459.01
Cantor, G.
21
1883
On simple number systems. JFM 02.0085.01
Cantor, G.
17
1869
Ueber eine Eigenschaft des Inbegriffs aller reellen algebraischen Zahlen. JFM 06.0057.01
Cantor, G.
16
1873
Ueber eine elementare Frage der Mannigfaltigkeitslehre. JFM 24.0066.02
Cantor, G.
15
1892
A contribution of teaching manifolds. JFM 09.0379.01
Cantor, G.
15
1877
Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Mit erläuternden Anmerkungen sowie mit Ergänzungen aus dem Briefwechsel Cantor-Dedekind. Hrsg. v. Ernst Zermelo. Nebst einem Lebenslauf Cantors v. Adolf Fraenkel. Zbl 0004.05401
Cantor, Georg
8
1932
About infinite and linear point manifolds. JFM 12.0404.01
Cantor, G.
7
1880
On infinite linear point sets. JFM 11.0351.01
Cantor, G.
7
1879
About infinite and linear point manifolds. JFM 14.0433.01
Cantor, G.
6
1882
On infinite linear point manifolds. JFM 15.0452.02
Cantor, G.
6
1882
Constribution to the founding of the theory of transfinite numbers. Translated and provided with an introduction and notes by Philip E. B. Jourdain. Zbl 0046.05102
Cantor, Georg
5
1952
Mitteilungen zur Lehre vom Transfiniten. I. II. JFM 19.0044.02
Cantor, G.
5
1887
Foundations of a general theory of manifolds. JFM 15.0453.01
Cantor, G.
5
1883
Proof that a function given for every real value of \(x\) by a trigonometric series has only one representation in this form. JFM 02.0218.02
Cantor, G.
5
1870
Contributions to the founding of the theory of transfinite numbers. Transl. and ed. by P. E. B. Jourdain. New ed. JFM 67.0154.03
Cantor, G.
4
1941
On various theorems in the theory of point sets in an \(n\)-times extended space \(G_n\). JFM 17.0504.01
Cantor, G.
4
1885
On a theorem from the theory of continuous manifolds. JFM 11.0352.01
Cantor, G.
4
1879
On a theorem concerning trigonometric series. JFM 02.0218.01
Cantor, G.
4
1870
Two theorems from the theory of binary and quadratic forms. JFM 01.0054.01
Cantor, G.
4
1868
Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Reprint der Erstauflage Berlin 1932, ergänzt um eine Bibliographie weiterer Arbeiten des Autors. Zbl 0441.04001
Cantor, Georg
3
1980
Foundations of a general theory of manifolds. JFM 15.0453.02
Cantor, G.
3
1883
On trigonometric series. JFM 03.0105.01
Cantor, G.
3
1871
Works on set theory. Transl. by F. A. Medvedev and P. S. Yushkevich. Ed. by A. N. Kolmogorov, and A. P. Yushkevich. Zbl 0591.01027
Cantor, Georg
2
1985
Sui numeri transfiniti. Estratto di una lettera a G. Vivanti. JFM 26.0082.01
Cantor, G.
2
1895
Further remark on trigonometric series. JFM 12.0184.04
Cantor, G.
2
1880
Remark on trigonometric series. JFM 12.0184.02
Cantor, G.
2
1880
Note on the addendum: Proof that a function represented by an everywhere convergent trigonometric series can be represented in only one way in this form. JFM 03.0192.01
Cantor, G.
2
1871
Collected essays of mathematical and philosophical content. With explanatory comments and with supplements from the correspondence Cantor-Dedekind. With a biography of Cantor by A. Fraenkel. Edited by Ernst Zermelo. Reprint of the 1980 edition. Zbl 1270.01007
Cantor, Georg
1
2013
Über unendliche, lineare Punktmannigfaltigkeiten. Arbeiten zur Mengenlehre aus den Jahren 1872-1884. Hrsg. und komment. von G. Asser. Zbl 0596.01036
Cantor, Georg
1
1984
Contributions to the founding of the theory of transfinite numbers. Translated, and provided with an introduction and notes, by Philip E. B. Jourdain. Zbl 0045.02103
Cantor, Georg
1
1952
Jahresbericht der Deutschen Mathematiker-Vereinigung. Erster Band. 1890-91. Herausgegeben im Auftrage des Vorstandes. JFM 24.0039.04
Cantor, G.; Dyck, W.; Lampe, E.
1
1892
On a property of a global algebraic system of real numbers. A contribution to the theory of manifolds. About trigonometric Serials Extension of a theorem from the theory on trigonometric Serials. On infinite and linear point manifolds. JFM 15.0452.01
Cantor, G.
1
1883
On a new and general condensation principle for the singularities of functions. JFM 14.0321.01
Cantor, G.
1
1881
On the theory of number-theoretic functions. JFM 12.0127.01
Cantor, G.
1
1880
Two theorems about a certain expansion of numbers in infinite products. JFM 02.0086.01
Cantor, G.
1
1869
Collected essays of mathematical and philosophical content. With explanatory comments and with supplements from the correspondence Cantor-Dedekind. With a biography of Cantor by A. Fraenkel. Edited by Ernst Zermelo. Reprint of the 1980 edition. Zbl 1270.01007
Cantor, Georg
1
2013
Works on set theory. Transl. by F. A. Medvedev and P. S. Yushkevich. Ed. by A. N. Kolmogorov, and A. P. Yushkevich. Zbl 0591.01027
Cantor, Georg
2
1985
Über unendliche, lineare Punktmannigfaltigkeiten. Arbeiten zur Mengenlehre aus den Jahren 1872-1884. Hrsg. und komment. von G. Asser. Zbl 0596.01036
Cantor, Georg
1
1984
Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Reprint der Erstauflage Berlin 1932, ergänzt um eine Bibliographie weiterer Arbeiten des Autors. Zbl 0441.04001
Cantor, Georg
3
1980
Constribution to the founding of the theory of transfinite numbers. Translated and provided with an introduction and notes by Philip E. B. Jourdain. Zbl 0046.05102
Cantor, Georg
5
1952
Contributions to the founding of the theory of transfinite numbers. Translated, and provided with an introduction and notes, by Philip E. B. Jourdain. Zbl 0045.02103
Cantor, Georg
1
1952
Contributions to the founding of the theory of transfinite numbers. Transl. and ed. by P. E. B. Jourdain. New ed. JFM 67.0154.03
Cantor, G.
4
1941
Gesammelte Abhandlungen mathematischen und philosophischen Inhalts mit erläuternden Anmerkungen sowie mit Ergänzungen aus dem Briefwechsel Cantor-Dedekind. JFM 58.0043.01
Cantor, G.
56
1932
Gesammelte Abhandlungen mathematischen und philosophischen Inhalts. Mit erläuternden Anmerkungen sowie mit Ergänzungen aus dem Briefwechsel Cantor-Dedekind. Hrsg. v. Ernst Zermelo. Nebst einem Lebenslauf Cantors v. Adolf Fraenkel. Zbl 0004.05401
Cantor, Georg
8
1932
Contributions to the founding of the theory of transfinite numbers. Translated by P. E. B. Jourdain. JFM 45.0132.05
Cantor, G.
23
1915
Beiträge zur Begründung der transfiniten Mengenlehre. Art. II. JFM 28.0061.08
Cantor, G.
38
1897
Beitrage zur Begründung der transfiniten Mengenlehre. Art. I. JFM 26.0081.01
Cantor, G.
107
1895
Sui numeri transfiniti. Estratto di una lettera a G. Vivanti. JFM 26.0082.01
Cantor, G.
2
1895
Ueber eine elementare Frage der Mannigfaltigkeitslehre. JFM 24.0066.02
Cantor, G.
15
1892
Jahresbericht der Deutschen Mathematiker-Vereinigung. Erster Band. 1890-91. Herausgegeben im Auftrage des Vorstandes. JFM 24.0039.04
Cantor, G.; Dyck, W.; Lampe, E.
1
1892
Mitteilungen zur Lehre vom Transfiniten. I. II. JFM 19.0044.02
Cantor, G.
5
1887
On various theorems in the theory of point sets in an \(n\)-times extended space \(G_n\). JFM 17.0504.01
Cantor, G.
4
1885
On the power of perfect sets of points. JFM 16.0460.01
Cantor, G.
25
1884
About infinite linear manifolds of points. JFM 16.0459.01
Cantor, G.
21
1883
Foundations of a general theory of manifolds. JFM 15.0453.01
Cantor, G.
5
1883
Foundations of a general theory of manifolds. JFM 15.0453.02
Cantor, G.
3
1883
On a property of a global algebraic system of real numbers. A contribution to the theory of manifolds. About trigonometric Serials Extension of a theorem from the theory on trigonometric Serials. On infinite and linear point manifolds. JFM 15.0452.01
Cantor, G.
1
1883
On infinite linear point manifolds. JFM 15.0452.03
Cantor, G.
34
1882
About infinite and linear point manifolds. JFM 14.0433.01
Cantor, G.
6
1882
On infinite linear point manifolds. JFM 15.0452.02
Cantor, G.
6
1882
On a new and general condensation principle for the singularities of functions. JFM 14.0321.01
Cantor, G.
1
1881
About infinite and linear point manifolds. JFM 12.0404.01
Cantor, G.
7
1880
Further remark on trigonometric series. JFM 12.0184.04
Cantor, G.
2
1880
Remark on trigonometric series. JFM 12.0184.02
Cantor, G.
2
1880
On the theory of number-theoretic functions. JFM 12.0127.01
Cantor, G.
1
1880
On infinite linear point sets. JFM 11.0351.01
Cantor, G.
7
1879
On a theorem from the theory of continuous manifolds. JFM 11.0352.01
Cantor, G.
4
1879
A contribution of teaching manifolds. JFM 09.0379.01
Cantor, G.
15
1877
Ueber eine Eigenschaft des Inbegriffs aller reellen algebraischen Zahlen. JFM 06.0057.01
Cantor, G.
16
1873
On the extension of a theorem from the theory of trigonometric series. JFM 04.0101.02
Cantor, G.
31
1872
On trigonometric series. JFM 03.0105.01
Cantor, G.
3
1871
Note on the addendum: Proof that a function represented by an everywhere convergent trigonometric series can be represented in only one way in this form. JFM 03.0192.01
Cantor, G.
2
1871
Proof that a function given for every real value of \(x\) by a trigonometric series has only one representation in this form. JFM 02.0218.02
Cantor, G.
5
1870
On a theorem concerning trigonometric series. JFM 02.0218.01
Cantor, G.
4
1870
On simple number systems. JFM 02.0085.01
Cantor, G.
17
1869
Two theorems about a certain expansion of numbers in infinite products. JFM 02.0086.01
Cantor, G.
1
1869
Two theorems from the theory of binary and quadratic forms. JFM 01.0054.01
Cantor, G.
4
1868
all top 5

Cited by 396 Authors

7 Candeal, Juan Carlos
7 Induráin, Esteban
6 Fernández-Sánchez, Juan
6 Kanamori, Akihiro
6 Mance, Bill
6 Moore, Gregory H.
5 Diaz Carrillo, Manuel
4 Airey, Dylan
4 Ash, J. Marshall
4 Ferreirós, José
4 Nambiar, K. K.
4 Narens, Louis Edward
3 Burke, Maxim R.
3 De Amo, Enrique
3 Ebbinghaus, Heinz-Dieter
3 Gevorkyan, Gegham G.
3 Grattan-Guinness, Ivor
3 Johnson, Dale M.
3 Lew, John S.
3 Morales, Luis B.
3 Paradís, Jaume
3 Sergeev, Yaroslav Dmitrievich
3 Tetunashvili, Shakro
3 Viader, Pelegrí
2 Błaszczyk, Piotr
2 Blavatskyy, Pavlo R.
2 Bodenhofer, Ulrich
2 Bosi, Gianni
2 Brown, Ezra
2 Cameron, Peter Jephson
2 Campión, María Jesús
2 Candeal-Haro, Juan Carlos
2 Cassina, Ugo
2 Crossley, John Newsome
2 Dauben, Joseph Warren
2 Deiser, Oliver
2 Droste, Manfred
2 El Naschie, Mohamed Saladin
2 Fishburn, Peter Clingerman
2 Franchella, Miriam
2 Frolkina, Olga D.
2 Garciadiego, Alejandro R.
2 Gutiérrez García, Javier
2 Gutiérrez, José Manuel
2 Induráin-Eraso, Esteban
2 Jonsson, Peter A.
2 Kanovei, Vladimir G.
2 Katz, Karin Usadi
2 Katz, Mikhail G.
2 Kleene, Stephen Cole
2 Kuske, Dietrich
2 Laugwitz, Detlef
2 Luce, Robert Duncan
2 Peckhaus, Volker
2 Rosenberg, Arnold Leonard
2 Sagan, Hans
2 Sanchis, Manuel
2 Schirn, Matthias
2 Serbenyuk, Symon
2 Shapiro, Stewart
2 Sieg, Wilfried
2 Stalford, Harold L.
2 Ternullo, Claudio
2 van Mill, Jan
2 Veldman, Wim
1 Akman, Varol
1 Alcantud, José Carlos Rodríguez
1 Aleskerov, Fuad T.
1 Alling, Norman Larrabee
1 Andrikopoulos, Athanasios
1 Angelelli, Ignacio
1 Arboleda, Luis Carlos
1 Arkhangel’skiĭ, Aleksandr Vladimirovich
1 Arredondo R., Juan Héctor
1 Asadzadeh, Mohammad Sina
1 Ashraf, Samina
1 Avigad, Jeremy
1 Baiocchi, Claudio
1 Balser, Ludwig
1 Banaschewski, Bernhard
1 Barabino, Benedetto
1 Bartholdi, Laurent
1 Bedürftig, Thomas
1 Beg, Ismat
1 Běhounek, Libor
1 Beja, Avraham
1 Belmonte Requena, Mónica
1 Bhaskar, Tenali Gnana
1 Bibiloni, Lluís
1 Błaszczyk, Aleksander
1 Boboc, Nicu
1 Bodirsky, Manuel
1 Böhme, Harald
1 Börger, Reinhard
1 Bory Reyes, Juan
1 Bourizk, Ismaïl
1 Brezinski, Claude
1 Brlek, Srečko
1 Brümmer, Guillaume C. L.
1 Burgin, Mark
...and 296 more Authors
all top 5

Cited in 132 Serials

27 Historia Mathematica
19 Archive for History of Exact Sciences
12 History and Philosophy of Logic
11 The Bulletin of Symbolic Logic
10 Journal of Mathematical Psychology
10 Synthese
7 Fuzzy Sets and Systems
7 The Journal of Symbolic Logic
7 Proceedings of the American Mathematical Society
7 Mathematical Social Sciences
7 The Review of Symbolic Logic
5 Mathematische Semesterberichte
5 Journal of Number Theory
5 Mathematische Zeitschrift
5 Topology and its Applications
5 Annals of Pure and Applied Logic
5 Foundations of Science
4 Computers & Mathematics with Applications
4 Journal of Mathematical Analysis and Applications
4 Chaos, Solitons and Fractals
4 Czechoslovak Mathematical Journal
4 Journal of Mathematical Economics
4 Mathematische Annalen
4 Theory and Decision
4 Acta Mathematica Hungarica
4 Expositiones Mathematicae
4 Indagationes Mathematicae. New Series
3 Applied Mathematics and Computation
3 Journal of Philosophical Logic
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Studia Logica
3 Transactions of the American Mathematical Society
2 American Mathematical Monthly
2 Artificial Intelligence
2 The Mathematical Intelligencer
2 Advances in Mathematics
2 Archiv der Mathematik
2 Information Sciences
2 Journal of Combinatorial Theory. Series A
2 Journal of Optimization Theory and Applications
2 Mathematical Systems Theory
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Order
2 Journal of Automated Reasoning
2 Mathematical and Computer Modelling
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Bulletin of the American Mathematical Society. New Series
2 Cybernetics and Systems Analysis
2 Fractals
2 Integers
2 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
2 Bulletin of the American Mathematical Society
2 Annales Scientifiques de l’École Normale Supérieure. Troisième Série
2 Rendiconti del Circolo Matematico di Palermo
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Fractal Geometry
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Annals of Science
1 Bulletin of the Australian Mathematical Society
1 Centaurus
1 Discrete Mathematics
1 Educational Studies in Mathematics
1 International Journal of Mathematical Education in Science and Technology
1 International Journal of Theoretical Physics
1 Information Processing Letters
1 Journal of the Franklin Institute
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Acta Mathematica
1 Demonstratio Mathematica
1 Journal of Economic Theory
1 Journal of the Korean Mathematical Society
1 Journal of Soviet Mathematics
1 Mathematica Slovaca
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Notre Dame Journal of Formal Logic
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Semigroup Forum
1 Bulletin of the Section of Logic
1 Advances in Applied Mathematics
1 Applied Numerical Mathematics
1 Optimization
1 Journal of the American Mathematical Society
1 Journal of Scientific Computing
1 International Journal of Foundations of Computer Science
1 Artificial Intelligence Review
1 Aequationes Mathematicae
1 Elemente der Mathematik
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Tatra Mountains Mathematical Publications
1 The Journal of Analysis
1 Applied Categorical Structures
1 Journal de Théorie des Nombres de Bordeaux
1 St. Petersburg Mathematical Journal
1 Georgian Mathematical Journal
1 Top
...and 32 more Serials
all top 5

Cited in 49 Fields

143 Mathematical logic and foundations (03-XX)
99 History and biography (01-XX)
38 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
35 Number theory (11-XX)
34 Real functions (26-XX)
31 General topology (54-XX)
30 General and overarching topics; collections (00-XX)
27 Order, lattices, ordered algebraic structures (06-XX)
23 Computer science (68-XX)
20 Measure and integration (28-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
8 Combinatorics (05-XX)
8 Functions of a complex variable (30-XX)
7 Category theory; homological algebra (18-XX)
7 Group theory and generalizations (20-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Approximations and expansions (41-XX)
6 Numerical analysis (65-XX)
5 General algebraic systems (08-XX)
5 Geometry (51-XX)
4 Probability theory and stochastic processes (60-XX)
4 Quantum theory (81-XX)
4 Relativity and gravitational theory (83-XX)
4 Operations research, mathematical programming (90-XX)
3 Algebraic geometry (14-XX)
3 Topological groups, Lie groups (22-XX)
3 Functional analysis (46-XX)
3 Algebraic topology (55-XX)
3 Manifolds and cell complexes (57-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Statistics (62-XX)
2 Field theory and polynomials (12-XX)
2 Sequences, series, summability (40-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Mechanics of deformable solids (74-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Biology and other natural sciences (92-XX)
1 Commutative algebra (13-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Fluid mechanics (76-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

Citations by Year

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