Topic · Advanced Topology and Set Theory
Most cited papers in Advanced Topology and Set Theory
What are the most cited papers in Advanced Topology and Set Theory?
The most cited paper in Advanced Topology and Set Theory is "Groups of polynomial growth and expanding maps (with an appendix by Jacques Tits)" (Michael Gromov, 1981), with 1,846 citations. Next come "An Introduction to Harmonic Analysis." (1,713) and "Measures on the Closed Subspaces of a Hilbert Space" (1,020).
Showing 50 of 100 papers. Every paper with more than 278 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Groups of polynomial growth and expanding maps (with an appendix by Jacques Tits) Michael Gromov · Publications mathématiques de l IHÉS | 7 Dec 1981 | 1,846 |
| 2 | An Introduction to Harmonic Analysis. Guido Weiss, Yitzhak Katznelson · American Mathematical Monthly | Apr 1970 | 1,713 |
| 3 | Measures on the Closed Subspaces of a Hilbert Space Andrew M. Gleason | 1975 | 1,020 |
| 4 | A Decomposition Theorem for Partially Ordered Sets R. P. Dilworth · Birkhäuser Boston eBooks | 2009 | 1,009 |
| 5 | Convergence of convex sets and of solutions of variational inequalities Umberto Mosco · Advances in Mathematics | Oct 1969 | 988 |
| 6 | PROBABILITY MEASURES IN A METRIC SPACE K. R. Parthasarathy · Elsevier eBooks | 1967 | 950 |
| 7 | Basic Properties of Strong Mixing Conditions. A Survey and Some Open Questions Richard C. Bradley · Probability Surveys | 2005 | 922 |
| 8 | The Equivalence of Two Extremum Problems J. Kiefer, Jacob Wolfowitz · Canadian Journal of Mathematics | 1960 | 893 |
| 9 | Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions Harry Furstenberg · Journal d Analyse Mathématique | Dec 1977 | 886 |
| 10 | On the density of families of sets N. Sauer · Journal of Combinatorial Theory Series A | Jul 1972 | 870 |
| 11 | Scalar Implicatures in Complex Sentences Uli Sauerland · Linguistics and Philosophy | 9 Apr 2004 | 786 |
| 12 | Distance and de Sitter conjectures on the Swampland Hirosi Ooguri, Eran Palti, Gary Shiu et al. · Physics Letters B | 15 Nov 2018 | 761 |
| 13 | Induced representations of C∗-algebras Marc A. Rieffel · Advances in Mathematics | Jun 1974 | 746 |
| 14 | A new proof of Szemerédi's theorem W. T. Gowers · Geometric and Functional Analysis | 15 Aug 2001 | 728 |
| 15 | The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems Jérôme Bolte, Aris Daniilidis, Adrian S. Lewis · SIAM Journal on Optimization | 2007 | 718 |
| 16 | Semianalytic and subanalytic sets Edward Bierstone, Pierre D. Milman · Publications mathématiques de l IHÉS | 7 Jan 1988 | 702 |
| 17 | Topological methods in cardinal utility theory Gérard Debreu, Gérard Debreu, Werner Hildenbrand · Mathematical Economics | 2 Dec 2008 | 632 |
| 18 | Mean Field Games and Applications Olivier Guéant, Jean‐Michel Lasry, Pierre Louis Lions · Lecture notes in mathematics | 5 Oct 2010 | 618 |
| 19 | Epistemic Democracy: Generalizing the Condorcet Jury Theorem Christian List, Robert E. Goodin · Journal of Political Philosophy | Sep 2001 | 606 |
| 20 | Convergent sequences of dense graphs I: Subgraph frequencies, metric properties and testing Christian Borgs, Jennifer Chayes, L. Lovász et al. · Advances in Mathematics | 9 Sep 2008 | 604 |
| 21 | Geometric categories and o-minimal structures Lou van den Dries, Chris Miller · Duke Mathematical Journal | Aug 1996 | 592 |
| 22 | A shorter model theory Wilfrid Hodges | 1997 | 586 |
| 23 | Volume growth and entropy Yosef Yomdin · Israel Journal of Mathematics | Oct 1987 | 530 |
| 24 | Spaces with an abstract convolution of measures Robert I. Jewett · Advances in Mathematics | Oct 1975 | 505 |
| 25 | 2‐metrische Räume und ihre topologische Struktur Siegfried Gähler · Mathematische Nachrichten | 1963 | 499 |
| 26 | Generalized Metric Spaces Gary F. Gruenhage · Elsevier eBooks | 1984 | 490 |
| 27 | Connected components of the moduli spaces of Abelian differentials with prescribed singularities Maxim L'vovich Kontsevich, Anton Zorich · Inventiones mathematicae | Sep 2003 | 489 |
| 28 | Nonconventional ergodic averages and nilmanifolds Bernard Host, Bryna Kra · Annals of Mathematics | 2005 | 485 |
| 29 | The Integers and Topology Eric K. van Douwen · Elsevier eBooks | 1984 | 477 |
| 30 | Nonlocal minimal surfaces Luis A. Caffarelli, Jean -Michel Roquejoffre, Ovidiu Savin · Communications on Pure and Applied Mathematics | 23 Apr 2010 | 464 |
| 31 | Regularity and positional games Alfred W. Hales, Robert I. Jewett · Transactions of the American Mathematical Society | 1963 | 462 |
| 32 | Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces Brian R. Hunt, TIMOTHY D. SAUER, James A. Yorke · Bulletin of the American Mathematical Society | 1992 | 443 |
| 33 | A partition calculus in set theory Péter L. Erdős, R. Rado · Bulletin of the American Mathematical Society | 1956 | 439 |
| 34 | Factoring weakly compact operators William J. Davis, T. Figiel, William B. Johnson et al. · Journal of Functional Analysis | Nov 1974 | 436 |
| 35 | Small Ramsey Numbers Stanisław Radziszowski · The Electronic Journal of Combinatorics | 22 Aug 2011 | 432 |
| 36 | Linear orders and MA + ¬wKH Zoran Spasojević · Fundamenta Mathematicae | 1995 | 432 |
| 37 | A proof of Thurston's topological characterization of rational functions Adrien Douady, John Hamal Hubbard · Acta Mathematica | 1993 | 423 |
| 38 | Combinatorial Cardinal Characteristics of the Continuum Andreas R. Blass | 9 Dec 2009 | 418 |
| 39 | Lineare 2‐normierte Räume Siegfried Gähler · Mathematische Nachrichten | 1964 | 418 |
| 40 | On p-values for smooth components of an extended generalized additive model Simon N. Wood · Biometrika | 19 Oct 2012 | 414 |
| 41 | Existence of maximal elements and equilibria in linear topological spaces Nicholas C. Yannelis, N.D. Prabhakar · Journal of Mathematical Economics | Dec 1983 | 412 |
| 42 | Topological Vector Spaces Taqdir Husain | 1965 | 411 |
| 43 | On the closedness of the sum of two closed operators Giovanni Dore, Alberto Venni · Mathematische Zeitschrift | Jun 1987 | 399 |
| 44 | Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups Alexander S. Kechris, Vladimir Pestov, Stevo B. Todorčević · Geometric and Functional Analysis | Feb 2005 | 393 |
| 45 | The intrinsic normal cone K. Behrend, B. Fantechi · Inventiones mathematicae | 19 Mar 1997 | 389 |
| 46 | A Property of 4-Chromatic Graphs and some Remarks on Critical Graphs Gabriel Andrew Dirac · Journal of the London Mathematical Society | 1952 | 387 |
| 47 | Model theory for metric structures Itaï Ben Yaacov, Alexander Berenstein, C. Ward Henson et al. · Cambridge University Press eBooks | 22 May 2008 | 386 |
| 48 | Flows on Homogeneous Spaces and Diophantine Approximation on Manifolds Dmitry Kleinbock, G. A. Margulis · Annals of Mathematics | Jul 1998 | 384 |
| 49 | Toward useful type-free theories. I Solomon Feferman · Journal of Symbolic Logic | Mar 1984 | 383 |
| 50 | Clarke Subgradients of Stratifiable Functions Jérôme Bolte, Aris Daniilidis, Adrian S. Lewis et al. · SIAM Journal on Optimization | 2007 | 382 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.