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Ramsey Spaces

Ramsey Spaces is a mathematical framework in combinatorial set theory that generalizes the notion of Ramsey's theorem to abstract topological spaces by characterizing spaces in which infinite-dimensional analogs of Ramsey properties hold under suitable definability conditions.

79

Publications

3K

Citations

102

Authors

79

Institutions

Publications per year

2017–2026

10

Parents

Publications

79

Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups

Alexander S. Kechris, Vladimir Pestov, Stevo Todorčević · Geometric and Functional Analysis · 2005 · 393 citations

, , +16

Combinatorics of open covers I: Ramsey theory

Marion Scheepers · Topology and its Applications · 1996 · 359 citations

, , +13

Metric cotype

Manor Mendel, Assaf Naor · Annals of Mathematics · 2008 · 130 citations · Full text

, , +10

Combinatorics of open covers (VII): Groupability

Ljubiša D. R. Kočinac, Marion Scheepers · Fundamenta Mathematicae · 2003 · 124 citations · Full text

, , +13

Nonmetrizable topological dynamics and Ramsey theory

Vitaly Bergelson, Neil Hindman · Transactions of the American Mathematical Society · 1990 · 106 citations

, , +11

1–5 of 79

Authors

102

  1. VB
    Vitaly Bergelson

    The Ohio State University, United States

    6 publications · 265 citations

    6

    h-index

  2. NH
    Neil Hindman

    Howard University, United States

    5 publications · 233 citations

    5

    h-index

  3. MS
    Marion Scheepers

    Boise State University, United States

    3 publications · 540 citations

    3

    h-index

  4. MM
    Manor Mendel

    Hebrew University of Jerusalem, Israel

    3 publications · 247 citations

    3

    h-index

  5. ST
    Stevo Todorčević

    University of Toronto, Canada

    3 publications · 433 citations

    3

    h-index

1–5 of 102

Institutions

79

  1. Hebrew University of Jerusalem

    Jerusalem, Israel

    5 h-index

    6 publications

    290 citations

  2. Charles University

    Prague, Czechia

    4 h-index

    4 publications

    98 citations

  3. Université Paris Cité

    Paris, France

    4 h-index

    4 publications

    448 citations

  4. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    4 h-index

    4 publications

    449 citations

  5. The Ohio State University

    Columbus, United States

    3 h-index

    3 publications

    125 citations

  6. Eötvös Loránd University

    Budapest, Hungary

    3 h-index

    4 publications

    103 citations

  7. University of Denver

    Denver, United States

    2 h-index

    2 publications

    36 citations

  8. TU Wien

    Vienna, Austria

    2 h-index

    1 publications

    17 citations

1–8 of 79

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 10 publications · 306 citations

    10

    h-index

  2. European Journal of Combinatorics

    5 publications · 139 citations

    5

    h-index

  3. Journal of Symbolic Logic

    4 publications · 71 citations

    5

    h-index

  4. Journal of Combinatorial Theory Series A

    4 publications · 76 citations

    4

    h-index

  5. Israel Journal of Mathematics

    4 publications · 168 citations

    4

    h-index

1–5