Concepedia

Cardinal Inequalities

Cardinal Inequalities is a mathematical framework within set theory that establishes provable relationships between cardinal numbers, particularly in the context of exponentiation and cofinality, distinguishing itself by addressing constraints and bounds in the arithmetic of infinite cardinals under the axioms of Zermelo-Fraenkel set theory with the Axiom of Choice.

62

Publications

2.7K

Citations

75

Authors

53

Institutions

Publications per year

2017–2026

7

Parents

Publications

62

The higher infinite: large cardinals in set theory from their beginnings

Choice Reviews Online · 1996 · 324 citations

, , +15

A Theoretical Treatment of Indices of Absolute Inequality

Charles Blackorby, David Donaldson · International Economic Review · 1980 · 255 citations

, , +4

On Inequality Comparisons

Gary S. Fields, John C. H. Fei · Econometrica · 1978 · 201 citations · Full text

, , +15

Measurable cardinals and analytic games

Donald Matrin · Fundamenta Mathematicae · 1970 · 172 citations · Full text

, , +10

On the singular cardinals problem I

Menachem Magidor · Israel Journal of Mathematics · 1977 · 135 citations

, , +9

1–5 of 62

Authors

75

  1. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    5 publications · 109 citations

    5

    h-index

  2. AB
    Angelo Bella

    National Physical Laboratory, United Kingdom

    3 publications · 74 citations

    3

    h-index

  3. MM
    Menachem Magidor

    Hebrew University of Jerusalem, Israel

    2 publications · 202 citations

    2

    h-index

  4. JG
    John Ginsburg

    University of Manitoba, Canada

    2 publications · 81 citations

    2

    h-index

  5. MG
    Moti Gitik

    Tel Aviv University, Israel

    1 publications · 54 citations

    1

    h-index

1–5 of 75

Institutions

53

  1. Rutgers, The State University of New Jersey

    New Brunswick, United States

    3 h-index

    3 publications

    77 citations

  2. Hebrew University of Jerusalem

    Jerusalem, Israel

    3 h-index

    3 publications

    77 citations

  3. Stanford University

    Stanford, United States

    1 h-index

    1 publications

    21 citations

  4. Mathematical Institute of the Slovak Academy of Sciences

    Bratislava, Slovakia

    1 h-index

    1 publications

    40 citations

  5. Youngstown State University

    Youngstown, United States

    1 h-index

    1 publications

    14 citations

  6. Albert Einstein College of Medicine

    Bronx, United States

    1 h-index

    1 publications

    19 citations

  7. Institute of Mathematics and Informatics

    Sofia, Bulgaria

    1 h-index

    1 publications

    19 citations

  8. University of Florida

    Gainesville, United States

    1 h-index

    1 publications

    14 citations

1–8 of 53

Venues

  1. Proceedings of the American Mathematical Society

    PROC · 4 publications · 59 citations

    4

    h-index

  2. Canadian Mathematical Bulletin

    CMB · 4 publications · 117 citations

    4

    h-index

  3. Annals of Pure and Applied Logic

    4 publications · 98 citations

    4

    h-index

  4. Topology and its Applications

    3 publications · 38 citations

    3

    h-index

  5. Fuzzy Sets and Systems

    2 publications · 50 citations

    2

    h-index

1–5