Concepedia

Set Equivalence

Set Equivalence is a formal construct in set theory that denotes a binary relation between two sets wherein there exists a one-to-one correspondence between their elements, establishing their equality in cardinality while preserving structural comparability within the context of quantity conservation.

70

Publications

3.7K

Citations

125

Authors

88

Institutions

Publications per year

2017–2026

5

Variants

EquinumerosityEquipotence

Parents

Publications

70

General Theory of Natural Equivalences

Samuel Eilenberg, Saunders MacLane · Transactions of the American Mathematical Society · 1945 · 569 citations · Full text

, , +8

Strongly equivalent logic programs

Vladimir Lifschitz, David Pearce, Agustín Valverde · ACM Transactions on Computational Logic · 2001 · 535 citations

, , +16

General theory of natural equivalences

Samuel Eilenberg, Saunders MacLane · Transactions of the American Mathematical Society · 1945 · 363 citations · Full text

, , +8

Equivalent Representations of Set Functions

Michel Grabisch, Jean‐Luc Marichal, Marc Roubens · Mathematics of Operations Research · 2000 · 183 citations · Full text

, , +10

Set-relations and optimality conditions in set-valued maps

María García Alonso, Luis Rodríguez-Marín · Nonlinear Analysis · 2005 · 101 citations

, , +12

1–5 of 70

Authors

125

  1. JM
    Jiří Močkoř

    University of Ostrava, Czechia

    2 publications · 28 citations

    2

    h-index

  2. JM
    Jean‐Luc Marichal

    University of Luxembourg, Luxembourg

    2 publications · 199 citations

    2

    h-index

  3. MG
    Michel Grabisch

    Université Paris 1 Panthéon-Sorbonne, France

    2 publications · 199 citations

    2

    h-index

  4. BK
    B. K. Tripathy

    Vellore Institute of Technology University, India

    2 publications · 29 citations

    2

    h-index

  5. SE
    Samuel Eilenberg

    Columbia University, United States

    2 publications · 932 citations

    2

    h-index

1–5 of 125

Institutions

88

  1. Princeton University

    Princeton, United States

    2 h-index

    2 publications

    34 citations

  2. University of Liège

    Liège, Belgium

    2 h-index

    4 publications

    398 citations

  3. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    2 h-index

    3 publications

    211 citations

  4. University of Warsaw

    Warsaw, Poland

    2 h-index

    2 publications

    36 citations

  5. Technicolor (France)

    Paris, France

    1 h-index

    1 publications

    16 citations

  6. RIKEN Center for Brain Science

    Wako, Japan

    1 h-index

    2 publications

    52 citations

  7. Tokyo Institute of Technology

    Tokyo, Japan

    1 h-index

    1 publications

    45 citations

  8. University of Florida

    Gainesville, United States

    1 h-index

    1 publications

    12 citations

1–8 of 88

Venues

  1. Theoretical Computer Science

    5 publications · 131 citations

    5

    h-index

  2. Mathematical logic quarterly

    MLQ · 3 publications · 91 citations

    3

    h-index

  3. Journal of Symbolic Logic

    2 publications · 50 citations

    2

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 2 publications · 932 citations

    2

    h-index

  5. International Journal of Game Theory

    2 publications · 49 citations

    2

    h-index

1–5