Concepedia

Free Set Theorems

Free Set Theorems is a theorem-level result in combinatorial set theory that characterizes conditions under which a function-defined dependency relation admits a free set—a subset on which the function values lie outside the subset—thereby generalizing canonical Ramsey-type partition results.

43

Publications

1.7K

Citations

54

Authors

49

Institutions

Publications per year

2017–2026

1

Parents

Publications

43

Free-Sets: A Condensed Representation of Boolean Data for the Approximation of Frequency Queries

Jean‐François Boulicaut, Artur Bykowski, Christophe Rigotti · Data Mining and Knowledge Discovery · 2003 · 253 citations

, , +13

On Certain Sets of Elements in a Free Group

J. H. C. Whitehead · Proceedings of the London Mathematical Society · 1936 · 170 citations

, , +5

A compactness theorem for singular cardinals, free algebras, Whitehead problem and tranversals

Saharon Shelah · Israel Journal of Mathematics · 1975 · 168 citations

, , +13

Sum-free sets in abelian groups

Ben Green, Imre Z. Ruzsa · Israel Journal of Mathematics · 2005 · 135 citations

, , +7

Limited subsets of a free monoid

Imre Simon · 1978 · 124 citations

, , +8

1–5 of 43

Authors

54

  1. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    4 publications · 238 citations

    4

    h-index

  2. TS
    Tomasz Schoen

    Adam Mickiewicz University in Poznań, Poland

    3 publications · 67 citations

    3

    h-index

  3. VF
    Vsevolod F. Lev

    University of Haifa, Israel

    3 publications · 81 citations

    3

    h-index

  4. TŁ
    Tomasz Łuczak

    Adam Mickiewicz University in Poznań, Poland

    2 publications · 57 citations

    2

    h-index

  5. OS
    Otmar Spinas

    ETH Zurich, Switzerland

    2 publications · 25 citations

    2

    h-index

1–5 of 54

Institutions

49

  1. Hebrew University of Jerusalem

    Jerusalem, Israel

    5 h-index

    5 publications

    282 citations

  2. Christian-Albrechts-Universität zu Kiel

    Kiel, Germany

    3 h-index

    3 publications

    67 citations

  3. Adam Mickiewicz University in Poznań

    Poznan, Poland

    3 h-index

    5 publications

    124 citations

  4. University of Haifa

    Haifa, Israel

    2 h-index

    2 publications

    37 citations

  5. ETH Zurich

    Zurich, Switzerland

    2 h-index

    3 publications

    37 citations

  6. Oranim Academic College of Education

    Haifa, Israel

    2 h-index

    2 publications

    37 citations

  7. Sorbonne Université

    Paris, France

    2 h-index

    2 publications

    48 citations

  8. École Polytechnique

    Palaiseau, France

    1 h-index

    1 publications

    31 citations

1–8 of 49

Venues

  1. Israel Journal of Mathematics

    8 publications · 465 citations

    8

    h-index

  2. Journal of Symbolic Logic

    4 publications · 89 citations

    4

    h-index

  3. Journal of Pure and Applied Algebra

    3 publications · 62 citations

    3

    h-index

  4. The Electronic Journal of Combinatorics

    2 publications · 60 citations

    2

    h-index

  5. Journal of Combinatorial Theory Series A

    2 publications · 47 citations

    2

    h-index

1–5