Concepedia

Countable Choice

Countable Choice is an axiom in set theory, belonging to the class of choice principles, that asserts the existence of a choice function for every countable collection of nonempty sets, thereby distinguishing itself from stronger forms of the Axiom of Choice by restricting applicability to countable domains.

61

Publications

2.8K

Citations

72

Authors

64

Institutions

Publications per year

2017–2026

3

Variants

Ac_omegaAxiom Of Countable Choice

Parents

Publications

61

A Model of Set-Theory in Which Every Set of Reals is Lebesgue Measurable

Robert M Solovay · Annals of Mathematics · 1970 · 880 citations

, , +7

Choice functions over a finite set: A summary

Hervé Moulin · Social Choice and Welfare · 1985 · 188 citations

, , +11

The Tychonoff product theorem implies the axiom of choice

Jay Kelley · Fundamenta Mathematicae · 1950 · 116 citations · Full text

, , +6

On the computational content of the axiom of choice

Stefano Berardi, Marc Bezem, Thierry Coquand · Journal of Symbolic Logic · 1998 · 102 citations

, , +12

On effectively computable realizations of choice functions

Alain A. Lewis · Mathematical Social Sciences · 1985 · 99 citations

, , +11

1–5 of 61

Authors

72

  1. PS
    Peter Schuster

    Ludwig-Maximilians-Universität München, Germany

    6 publications · 98 citations

    6

    h-index

  2. FR
    Fred Richman

    New Mexico State University, United States

    4 publications · 113 citations

    4

    h-index

  3. KK
    Kyriakos Keremedis

    University of the Aegean, Greece

    4 publications · 66 citations

    4

    h-index

  4. ET
    Eleftherios Tachtsis

    University of the Aegean, Greece

    3 publications · 54 citations

    3

    h-index

  5. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    3 publications · 67 citations

    3

    h-index

1–5 of 72

Institutions

64

  1. Ludwig-Maximilians-Universität München

    Munich, Germany

    5 h-index

    5 publications

    86 citations

  2. University of the Aegean

    Mytilene, Greece

    4 h-index

    7 publications

    120 citations

  3. Hebrew University of Jerusalem

    Jerusalem, Israel

    3 h-index

    3 publications

    69 citations

  4. Swansea University

    Swansea, United Kingdom

    3 h-index

    3 publications

    139 citations

  5. Florida Atlantic University

    Boca Raton, United States

    3 h-index

    3 publications

    90 citations

  6. University of Colorado Colorado Springs

    Colorado Springs, United States

    2 h-index

    2 publications

    56 citations

  7. Purdue University West Lafayette

    West Lafayette, United States

    2 h-index

    3 publications

    31 citations

  8. Center for Discrete Mathematics and Theoretical Computer Science

    Piscataway, United States

    2 h-index

    2 publications

    56 citations

1–8 of 64

Venues

  1. Mathematical logic quarterly

    MLQ · 10 publications · 152 citations

    10

    h-index

  2. Fundamenta Mathematicae

    8 publications · 378 citations

    8

    h-index

  3. Journal of Symbolic Logic

    7 publications · 207 citations

    7

    h-index

  4. Social Choice and Welfare

    2 publications · 198 citations

    2

    h-index

  5. Annals of Mathematical Logic

    2 publications · 25 citations

    2

    h-index

1–5