Advanced Topology and Set Theory
Advanced Topology and Set Theory is a research topic within Geometry and Topology. Science Explorer counts 20k research works in it since 1950. 10.1% of them reached the world's top 10% most cited for their field and year.
This cluster of papers covers topics in model theory, topological dynamics, and their applications to homogeneous structures, o-minimal structures, large cardinals, and forcing axioms. It explores the interactions between abstract elementary classes, definable sets, and automorphism groups, with connections to Ramsey theory and the structure of compact groups.
- Model Theory
- Topological Dynamics
- Homogeneous Structures
- O-Minimal Structures
- Large Cardinals
- Forcing Axioms
- Abstract Elementary Classes
- Definable Sets
- Automorphism Groups
- Ramsey Theory
- Research works
- 20k fractional, since 1950
- In the world top 10%
- 2k per year above
- Top-10% rate
- 10.1% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- -4% the tick is no change
Which countries lead Advanced Topology and Set Theory research?
By volume, the United States and China publish the most (359 and 203 works in 2022–2025).
By volume, 2022–2025
- 1 United States 359 works
- 2 China 203 works
- 3 Russia 119 works
- 4 France 90 works
- 5 India 89 works
- 6 Poland 89 works
- 7 United Kingdom 83 works
- 8 Germany 78 works
- 9 Japan 66 works
- 10 Italy 64 works
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Advanced Topology and Set Theory research?
By volume in 2022–2025, Lomonosov Moscow State University publishes the most Advanced Topology and Set Theory research, followed by Universidad Nacional Autónoma de México and Hebrew University of Jerusalem.
By volume, 2022–2025
- 1 Lomonosov Moscow State UniversityRussia 24 works
- 2 Universidad Nacional Autónoma de MéxicoMexico 20 works
- 3 Hebrew University of JerusalemIsrael 16 works
- 4 University of ViennaAustria 16 works
- 5 Institute of MathematicsPoland 15 works
- 6 Charles UniversityCzechia 15 works
- 7 Alfréd Rényi Institute of MathematicsHungary 14 works
- 8 University of California, BerkeleyUnited States 14 works
- 9 TU WienAustria 14 works
- 10 Centre National de la Recherche ScientifiqueFrance 14 works
Who are the leading researchers in Advanced Topology and Set Theory?
The most-cited researchers publishing on Advanced Topology and Set Theory include Terence Tao.
- 1 Terence Tao United States 3.1k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Advanced Topology and Set Theory research done?
The largest centres of Advanced Topology and Set Theory research in 2022–2025 are Moscow (Russia), Paris (France), Mexico City (Mexico) and Prague (Czechia). Among places with at least 20 works in it, it is an unusually large share of all research in Prague.
Largest cities, 2022–2025
Where it is the local speciality
- PragueCZ · 35.2 works8.6×
Location quotient: how much more of its research is in Advanced Topology and Set Theory than the world average.
Where is the best place to study Advanced Topology and Set Theory?
Among universities, judged by research, Lomonosov Moscow State University, TU Wien and Universidad Autónoma Metropolitana score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | Lomonosov Moscow State UniversityRussia | 78.5 | 11.8% | 14.5× | 24 | +38.1% |
| 2 | TU WienAustria | 65.2 | 5.3% | 22.8× | 14 | +267.4% |
| 3 | Universidad Autónoma MetropolitanaMexico | 62.5 | 13.0% | 25.0× | 10 | +58.7% |
| 4 | Charles UniversityCzechia | 62.2 | 9.6% | 16.9× | 15 | +4.6% |
| 5 | ETH ZurichSwitzerland | 59.2 | 8.5% | 7.7× | 10 | +209.7% |
| 6 | Hebrew University of JerusalemIsrael | 57.2 | 6.5% | 20.8× | 16 | +14.4% |
| 7 | University of California, BerkeleyUnited States | 52.7 | 7.1% | 8.5× | 14 | +62.0% |
| 8 | University of DelhiIndia | 50.7 | 7.2% | 10.6× | 10 | +61.5% |
| 9 | Universidad Nacional Autónoma de MéxicoMexico | 48.4 | 1.1% | 10.8× | 20 | +7.0% |
| 10 | University of ViennaAustria | 48.3 | 1.6% | 17.1× | 16 | +14.2% |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Advanced Topology and Set Theory research growing?
Output in 2018–2022 was 4% lower than in 2013–2017, peaking in 2023. The fastest-growing topics are Advanced Topology and Set Theory.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.