Edit Profile (opens in new tab) Stone, Arthur Harold (b. 1916 d. 2000) Co-Author Distance Author ID: stone.arthur-h Published as: Stone, A. H.; Stone, Arthur H. External Links: MGP · Wikidata · dblp · IdRef Member of Collective: Descartes, Blanche Documents Indexed: 72 Publications since 1940, including 1 Book 1 Further Contribution Biographic References: 2 Publications Co-Authors: 21 Co-Authors with 26 Joint Publications 893 Co-Co-Authors all top 5 Co-Authors 46 single-authored 6 Maharam Stone, Dorothy 4 Brooks, Rowland Leonard 4 Smith, Cedric A. B. 4 Tutte, William T. 3 Erdős, Pál 2 Mauldin, Richard Daniel 2 Ross, Kenneth A. 2 van Douwen, Eric K. 1 Dellacherie, Claude 1 Edwards, Robert Edmund 1 Hewitt, Edwin 1 Higman, Graham 1 Hoffmann-Jørgensen, Jørgen 1 Jayne, John E. 1 Jones, Floyd Burton 1 Kechris, Alexander S. 1 Martin, Donald A. 1 Michael, Ernest A. 1 Rajappan, K. P. 1 Rogers, Claude Ambrose 1 Scarborough, C. T. 1 Stromberg, Karl Robert 1 Topsøe, Flemming 1 Tukey, John Wilder all top 5 Serials 6 Proceedings of the American Mathematical Society 4 Pacific Journal of Mathematics 4 Transactions of the American Mathematical Society 3 American Journal of Mathematics 3 Duke Mathematical Journal 3 Mathematika 3 Topology and its Applications 3 Bulletin of the American Mathematical Society 2 American Mathematical Monthly 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Atti del Seminario Matematico e Fisico dell’Università di Modena 2 General Topology and its Applications 2 Journal of Mathematics and Physics 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Advances in Mathematics 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Dissertationes Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Michigan Mathematical Journal 1 Portugaliae Mathematica 1 Proceedings of the London Mathematical Society. Third Series 1 Real Analysis Exchange 1 Journal of the London Mathematical Society 1 Proceedings. Akadamie van Wetenschappen Amsterdam 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II all top 5 Fields 30 General topology (54-XX) 18 Measure and integration (28-XX) 5 Combinatorics (05-XX) 4 Mathematical logic and foundations (03-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Probability theory and stochastic processes (60-XX) 1 Category theory; homological algebra (18-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 1,081 times in 1,022 Documents Cited by ▼ Year ▼ On the structure of linear graphs. Zbl 0063.01277 Erdős, Pál; Stone, A. H. 332 1946 Paracompactness and product spaces. Zbl 0032.31403 Stone, A. H. 151 1948 The dissection of rectangles into squares. Zbl 0024.16501 Brooks, R. L.; Smith, C. A. B.; Stone, A. H.; Tutte, W. T. 92 1940 Metrizability of decomposition spaces. Zbl 0071.16001 Stone, A. H. 58 1956 Generalized ”sandwich” theorems. Zbl 0061.38405 Stone, A. H.; Tukey, John W. 56 1942 Products of nearly compact spaces. Zbl 0151.30001 Scarborough, C. T.; Stone, A. H. 36 1966 Products of separable spaces. Zbl 0119.38202 Ross, K. A.; Stone, A. H. 28 1964 Analytic sets. (Developed from lectures given at the London Mathematical Society Instructional Conference on Analytic Sets, University College London, July 1978). Zbl 0451.04001 Rogers, C. A.; Jayne, J. E.; Dellacherie, Claude; Topsøe, Flemming; Hoffmann- Jørgensen, Jørgen; Martin, D. A.; Kechris, A. S.; Stone, A. H. 26 1980 Hereditarily compact spaces. Zbl 0099.17302 Stone, A. H. 25 1960 The dissection of rectangles into squares. JFM 66.0181.01 Brooks, R. L.; Smith, C. A. B.; Stone, A. H.; Tutte, W. T. 24 1940 Non-separable Borel sets. Zbl 0111.35201 Stone, A. H. 20 1962 Kernel constructions and Borel sets. Zbl 0114.38604 Stone, A. H. 19 1963 Some remarks on almost periodic transformations. Zbl 0063.01276 Erdős, Pál; Stone, A. H. 18 1945 On \(\sigma\)-discreteness and Borel isomorphism. Zbl 0117.40103 Stone, A. H. 17 1963 Absolute \(F_ \sigma\) spaces. Zbl 0108.35601 Stone, A. H. 16 1962 Incidence relations in unicoherent spaces. Zbl 0034.39703 Stone, A. H. 16 1949 On the sum of two Borel sets. Zbl 0192.40304 Erdős, Pál; Stone, A. H. 12 1970 On inverse systems with trivial limits. Zbl 0055.02503 Higman, Graham; Stone, A. H. 12 1954 Sequences of coverings. Zbl 0114.14004 Stone, A. H. 11 1960 On supersonic flow past a slightly yawing cone. Zbl 0040.41002 Stone, A. H. 11 1948 Non-separable Borel sets. II. Zbl 0245.54039 Stone, A. H. 10 1972 Inverse limits of compact spaces. Zbl 0435.54008 Stone, A. H. 8 1979 Quotients of the space of irrationals. Zbl 0172.24704 Michael, Ernest; Stone, A. H. 8 1969 A note on paracompactness and normality of mapping spaces. Zbl 0118.18203 Stone, A. H. 7 1963 On partitioning ordered sets into cofinal subsets. Zbl 0164.33203 Stone, A. H. 7 1968 Metrisability of unions of spaces. Zbl 0090.38705 Stone, A. H. 7 1959 Universal spaces for some metrizable uniformities. Zbl 0096.37402 Stone, A. H. 7 1960 Borel and analytic metric spaces. Zbl 0199.25804 Stone, A. H. 5 1970 Absolutely FG spaces. Zbl 0511.54009 Stone, A. H. 4 1980 Expressing measurable functions by one-one ones. Zbl 0568.28004 Maharam, Dorothy; Stone, A. H. 4 1982 Non-separable Borel sets. Zbl 0105.16502 Stone, A. H. 4 1962 Realizing isomorphisms of category algebra. Zbl 0391.54026 Maharam, Dorothy; Stone, A. H. 3 1978 Countable locally connected Urysohn spaces. Zbl 0219.54015 Jones, F. Burton; Stone, A. H. 3 1971 Incidence relations in multicoherent spaces. I. Zbl 0034.39801 Stone, A. H. 3 1949 One-to-one functions and a problem on subfields. Zbl 0439.28004 Maharam, Dorothy; Stone, A. H. 2 1980 Closed tilings of Euclidean spaces. Zbl 0618.52009 Stone, A. H. 2 1985 The topology of close approximation. Zbl 0715.54007 van Douwen, Eric K.; Stone, A. H. 2 1990 Determinants and current flows in electric networks. Zbl 0800.94315 Brooks, R. L.; Smith, C. A. B.; Stone, A. H.; Tutte, W. T. 2 1992 Incidence relations in multicoherent spaces. II. Zbl 0040.25401 Stone, A. H. 2 1950 On supersonic flow past a slightly yawing cone. II. Zbl 0049.41901 Stone, A. H. 2 1952 Cardinals of closed sets. Zbl 0091.05302 Stone, A. H. 2 1959 Unions of locally compact spaces. Zbl 0271.54025 Stone, A. H. 1 1971 Some problems of measurability. Zbl 0288.28006 Stone, A. H. 1 1974 Topology and measure theory. Zbl 0341.28006 Stone, A. H. 1 1976 Disconnectible spaces. Zbl 0212.55301 Stone, A. H. 1 1969 Realization of maps. Zbl 0491.28009 Mauldin, R. Daniel; Stone, A. H. 1 1982 Some combinatorial problems in general topology. Zbl 0246.54046 Stone, A. H. 1 1970 On coverings of two-dimensional spaces. Zbl 0050.17802 Stone, A. H. 1 1953 Determinants and current flows in electric networks. Zbl 0800.94315 Brooks, R. L.; Smith, C. A. B.; Stone, A. H.; Tutte, W. T. 2 1992 The topology of close approximation. Zbl 0715.54007 van Douwen, Eric K.; Stone, A. H. 2 1990 Closed tilings of Euclidean spaces. Zbl 0618.52009 Stone, A. H. 2 1985 Expressing measurable functions by one-one ones. Zbl 0568.28004 Maharam, Dorothy; Stone, A. H. 4 1982 Realization of maps. Zbl 0491.28009 Mauldin, R. Daniel; Stone, A. H. 1 1982 Analytic sets. (Developed from lectures given at the London Mathematical Society Instructional Conference on Analytic Sets, University College London, July 1978). Zbl 0451.04001 Rogers, C. A.; Jayne, J. E.; Dellacherie, Claude; Topsøe, Flemming; Hoffmann- Jørgensen, Jørgen; Martin, D. A.; Kechris, A. S.; Stone, A. H. 26 1980 Absolutely FG spaces. Zbl 0511.54009 Stone, A. H. 4 1980 One-to-one functions and a problem on subfields. Zbl 0439.28004 Maharam, Dorothy; Stone, A. H. 2 1980 Inverse limits of compact spaces. Zbl 0435.54008 Stone, A. H. 8 1979 Realizing isomorphisms of category algebra. Zbl 0391.54026 Maharam, Dorothy; Stone, A. H. 3 1978 Topology and measure theory. Zbl 0341.28006 Stone, A. H. 1 1976 Some problems of measurability. Zbl 0288.28006 Stone, A. H. 1 1974 Non-separable Borel sets. II. Zbl 0245.54039 Stone, A. H. 10 1972 Countable locally connected Urysohn spaces. Zbl 0219.54015 Jones, F. Burton; Stone, A. H. 3 1971 Unions of locally compact spaces. Zbl 0271.54025 Stone, A. H. 1 1971 On the sum of two Borel sets. Zbl 0192.40304 Erdős, Pál; Stone, A. H. 12 1970 Borel and analytic metric spaces. Zbl 0199.25804 Stone, A. H. 5 1970 Some combinatorial problems in general topology. Zbl 0246.54046 Stone, A. H. 1 1970 Quotients of the space of irrationals. Zbl 0172.24704 Michael, Ernest; Stone, A. H. 8 1969 Disconnectible spaces. Zbl 0212.55301 Stone, A. H. 1 1969 On partitioning ordered sets into cofinal subsets. Zbl 0164.33203 Stone, A. H. 7 1968 Products of nearly compact spaces. Zbl 0151.30001 Scarborough, C. T.; Stone, A. H. 36 1966 Products of separable spaces. Zbl 0119.38202 Ross, K. A.; Stone, A. H. 28 1964 Kernel constructions and Borel sets. Zbl 0114.38604 Stone, A. H. 19 1963 On \(\sigma\)-discreteness and Borel isomorphism. Zbl 0117.40103 Stone, A. H. 17 1963 A note on paracompactness and normality of mapping spaces. Zbl 0118.18203 Stone, A. H. 7 1963 Non-separable Borel sets. Zbl 0111.35201 Stone, A. H. 20 1962 Absolute \(F_ \sigma\) spaces. Zbl 0108.35601 Stone, A. H. 16 1962 Non-separable Borel sets. Zbl 0105.16502 Stone, A. H. 4 1962 Hereditarily compact spaces. Zbl 0099.17302 Stone, A. H. 25 1960 Sequences of coverings. Zbl 0114.14004 Stone, A. H. 11 1960 Universal spaces for some metrizable uniformities. Zbl 0096.37402 Stone, A. H. 7 1960 Metrisability of unions of spaces. Zbl 0090.38705 Stone, A. H. 7 1959 Cardinals of closed sets. Zbl 0091.05302 Stone, A. H. 2 1959 Metrizability of decomposition spaces. Zbl 0071.16001 Stone, A. H. 58 1956 On inverse systems with trivial limits. Zbl 0055.02503 Higman, Graham; Stone, A. H. 12 1954 On coverings of two-dimensional spaces. Zbl 0050.17802 Stone, A. H. 1 1953 On supersonic flow past a slightly yawing cone. II. Zbl 0049.41901 Stone, A. H. 2 1952 Incidence relations in multicoherent spaces. II. Zbl 0040.25401 Stone, A. H. 2 1950 Incidence relations in unicoherent spaces. Zbl 0034.39703 Stone, A. H. 16 1949 Incidence relations in multicoherent spaces. I. Zbl 0034.39801 Stone, A. H. 3 1949 Paracompactness and product spaces. Zbl 0032.31403 Stone, A. H. 151 1948 On supersonic flow past a slightly yawing cone. Zbl 0040.41002 Stone, A. H. 11 1948 On the structure of linear graphs. Zbl 0063.01277 Erdős, Pál; Stone, A. H. 332 1946 Some remarks on almost periodic transformations. Zbl 0063.01276 Erdős, Pál; Stone, A. H. 18 1945 Generalized ”sandwich” theorems. Zbl 0061.38405 Stone, A. H.; Tukey, John W. 56 1942 The dissection of rectangles into squares. Zbl 0024.16501 Brooks, R. L.; Smith, C. A. B.; Stone, A. H.; Tutte, W. T. 92 1940 The dissection of rectangles into squares. JFM 66.0181.01 Brooks, R. L.; Smith, C. A. B.; Stone, A. H.; Tutte, W. T. 24 1940 all cited Publications top 5 cited Publications all top 5 Cited by 1,183 Authors 17 Ostaszewski, Adam J. 15 Erdős, Pál 14 Peng, Yuejian 13 Stone, Arthur Harold 12 Rodl, Vojtech 11 Bingham, Nicholas Hugh 11 Sudakov, Benny 10 Balogh, József 10 Hansell, Roger W. 10 Schacht, Mathias 9 Győri, Ervin 9 Künzi, Hans-Peter A. 9 Pikhurko, Oleg 8 Furedi, Zoltan 8 Pol, Roman 8 Simonovits, Miklós 7 Alon, Noga 7 Böttcher, Julia 7 Gerbner, Dániel 7 Karasev, Roman N. 7 Li, Yusheng 7 Morita, Kiiti 7 Sós, Vera Turán 6 Anstee, Richard P. 6 Ge, Gennian 6 Hanai, Sitiro 6 Ishii, Tadashi 6 Janzer, Oliver 6 Jayne, John E. 6 Jiang, Tao 6 Kąkol, Jerzy 6 Liu, Hong 6 Reiher, Christian 6 Rogers, Claude Ambrose 6 Shi, Yongtang 6 Zhu, Xiutao 5 Bukh, Boris 5 Choban, Mitrofan Mihailovich 5 Ferrara, Michael J. 5 Frankl, Péter 5 Guth, Lawrence David 5 Junnila, Heikki J. K. 5 Keevash, Peter 5 Lan, Yongxin 5 Łuczak, Tomasz 5 Michael, Ernest A. 5 Mubayi, Dhruv 5 Nagami, Keiô 5 Piguet, Diana 5 Sali, Attila 5 Samotij, Wojciech 5 Stephenson, Robert M. jun. 5 Szemerédi, Endre 5 Talbot, John 5 Taraz, Anusch 5 Treglown, Andrew 5 Tutte, William T. 4 Boroński, Jan P. 4 Chaber, Jozef 4 Chen, Yaojun 4 Conlon, David 4 Falgas-Ravry, Victor 4 Felsner, Stefan 4 Geelen, Jim 4 Hager, Anthony W. 4 Iseki, Kiyoshi 4 Kohayakawa, Yoshiharu 4 Koumoullis, George 4 Li, Yan 4 Lu, Linyuan 4 Ma, Jie 4 Maharam Stone, Dorothy 4 Martin, Ryan R. 4 Medvedev, Sergey V. 4 Methuku, Abhishek 4 Nagata, Jun-iti 4 Noble, Norman Lee 4 Nyikos, Peter J. 4 Ostrovsky, Alexey Vladimirovich 4 Pach, János 4 Palmer, Cory T. 4 Polcyn, Joanna 4 Raggi, Miguel 4 Schnider, Patrick 4 Tait, Michael 4 Tomon, István 4 Tuza, Zsolt 4 Watson, William Stephen 4 Xu, Zixiang 4 Zhang, Tao 3 Alster, Kazimierz 3 Arkhangel’skiĭ, Aleksandr Vladimirovich 3 Bergman, George M. 3 Bollobás, Béla 3 Boros, Endre 3 Caro, Yair 3 Chang, An 3 Dawson, Robert James MacGregor 3 Desai, Dheer Noal Sunil 3 Di Concilio, Anna ...and 1,083 more Authors all top 5 Cited in 223 Serials 122 Topology and its Applications 69 Proceedings of the American Mathematical Society 52 Discrete Mathematics 50 Journal of Combinatorial Theory. Series B 45 Transactions of the American Mathematical Society 37 Proceedings of the Japan Academy 27 European Journal of Combinatorics 27 The Electronic Journal of Combinatorics 26 Israel Journal of Mathematics 25 Combinatorics, Probability and Computing 24 Graphs and Combinatorics 22 Combinatorica 21 SIAM Journal on Discrete Mathematics 18 Journal of Graph Theory 17 Journal of Combinatorial Theory. Series A 13 Discrete & Computational Geometry 12 Journal of Mathematical Analysis and Applications 10 Discrete Applied Mathematics 9 Advances in Mathematics 9 Mathematische Annalen 8 Mathematika 7 Archiv der Mathematik 7 European Journal of Operational Research 6 Bulletin of the London Mathematical Society 6 Acta Mathematica Hungarica 6 Random Structures & Algorithms 6 Linear Algebra and its Applications 5 Bulletin of the Australian Mathematical Society 5 Mathematical Notes 5 Compositio Mathematica 5 Czechoslovak Mathematical Journal 5 Computational Geometry 5 Bulletin of the American Mathematical Society 4 Arkiv för Matematik 4 Acta Mathematica 4 Applied Mathematics and Computation 4 Tôhoku Mathematical Journal. Second Series 4 Advances in Applied Mathematics 3 Acta Mathematica Academiae Scientiarum Hungaricae 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Periodica Mathematica Hungarica 3 Mathematics of Computation 3 The Annals of Probability 3 Glasgow Mathematical Journal 3 Journal of Functional Analysis 3 Journal of the London Mathematical Society. Second Series 3 Journal of Mathematical Economics 3 Mathematische Zeitschrift 3 Quaestiones Mathematicae 3 Order 3 Algorithmica 3 Applied Mathematics Letters 3 Aequationes Mathematicae 3 Indagationes Mathematicae. New Series 3 Journal of Mathematical Sciences (New York) 2 Acta Mechanica 2 American Mathematical Monthly 2 Journal of Fluid Mechanics 2 Rocky Mountain Journal of Mathematics 2 Studia Mathematica 2 Chaos, Solitons and Fractals 2 Annales de l’Institut Fourier 2 Fuzzy Sets and Systems 2 Geometriae Dedicata 2 Illinois Journal of Mathematics 2 Publications Mathématiques 2 Inventiones Mathematicae 2 Journal of Algebra 2 Journal of Optimization Theory and Applications 2 Journal of Pure and Applied Algebra 2 Manuscripta Mathematica 2 Proceedings of the Japan Academy. Series A 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 SIAM Journal on Computing 2 Theoretical Computer Science 2 Theory and Decision 2 Ergodic Theory and Dynamical Systems 2 Journal of the American Mathematical Society 2 Science in China. Series A 2 Bulletin of the American Mathematical Society. New Series 2 Archive for Mathematical Logic 2 The Australasian Journal of Combinatorics 2 Applied Mathematics. Series B (English Edition) 2 Topology Proceedings 2 Filomat 2 Annals of Mathematics. Second Series 2 Journal of the Australian Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Computational Methods and Function Theory 2 Central European Journal of Mathematics 2 Optimization Letters 2 Applied General Topology 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Forum of Mathematics, Sigma 2 European Journal of Mathematics 2 SIAM Journal on Applied Algebra and Geometry 1 Archiv für Mathematische Logik und Grundlagenforschung 1 Archive for Rational Mechanics and Analysis 1 Communications in Algebra 1 Computers and Fluids ...and 123 more Serials all top 5 Cited in 53 Fields 415 Combinatorics (05-XX) 328 General topology (54-XX) 68 Convex and discrete geometry (52-XX) 49 Mathematical logic and foundations (03-XX) 45 Measure and integration (28-XX) 36 Computer science (68-XX) 32 Functional analysis (46-XX) 28 Real functions (26-XX) 26 Dynamical systems and ergodic theory (37-XX) 24 Manifolds and cell complexes (57-XX) 24 Probability theory and stochastic processes (60-XX) 20 Algebraic topology (55-XX) 20 Operations research, mathematical programming (90-XX) 18 Topological groups, Lie groups (22-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Category theory; homological algebra (18-XX) 12 Number theory (11-XX) 12 Geometry (51-XX) 11 Group theory and generalizations (20-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Differential geometry (53-XX) 9 History and biography (01-XX) 9 Information and communication theory, circuits (94-XX) 8 Algebraic geometry (14-XX) 8 Partial differential equations (35-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Functions of a complex variable (30-XX) 7 Difference and functional equations (39-XX) 6 Associative rings and algebras (16-XX) 6 Numerical analysis (65-XX) 6 Fluid mechanics (76-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Statistics (62-XX) 4 General and overarching topics; collections (00-XX) 4 Potential theory (31-XX) 4 Abstract harmonic analysis (43-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.