Concepedia

Cardinal Exponentiation

Cardinal Exponentiation is a fundamental operation in cardinal arithmetic that belongs to the class of binary operations on cardinal numbers, distinguished by its definition as the cardinality of the set of all functions from one set to another, specifically \( \kappa^\lambda = |{}^{\lambda}\kappa| \) for cardinals \( \kappa \) and \( \lambda \).

7

Publications

313

Citations

9

Authors

11

Institutions

Publications per year

2017–2026

0

Parents

Publications

7

Inequalities for Cardinal Powers

Fred Galvin, A. Hajnal · Annals of Mathematics · 1975 · 84 citations

, , +7

Wadge hierarchy and Veblen hierarchy Part I: Borel sets of finite rank

J Duparc · Journal of Symbolic Logic · 2001 · 72 citations

, , +14

Cardinal arithmetic for skeptics

Saharon Shelah · Bulletin of the American Mathematical Society · 1992 · 58 citations · Full text

, , +13

A note on cardinal exponentiation

Saharon Shelah · Journal of Symbolic Logic · 1980 · 29 citations

, , +11

Diagonal Prikry extensions

James Cummings, Matthew Foreman · Journal of Symbolic Logic · 2010 · 25 citations · Full text

, , +14

1–5 of 7

Authors

9

  1. DD
    Dwight Duffus

    Emory University, United States

    2 publications · 45 citations

    2

    h-index

  2. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    2 publications · 87 citations

    2

    h-index

  3. IR
    Ivan Rival

    University of Calgary, Canada

    2 publications · 45 citations

    2

    h-index

  4. AH
    A. Hajnal

    Pennsylvania State University, United States

    1 publications · 84 citations

    1

    h-index

  5. JC
    James Cummings

    Carnegie Mellon University, United States

    1 publications · 25 citations

    1

    h-index

1–5 of 9

Institutions

11

  1. University of Calgary

    Calgary, Canada

    2 h-index

    4 publications

    90 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    1 h-index

    1 publications

    72 citations

  3. University of California, Berkeley

    Berkeley, United States

    1 h-index

    1 publications

    29 citations

  4. Hebrew University of Jerusalem

    Jerusalem, Israel

    1 h-index

    1 publications

    29 citations

  5. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    1 h-index

    1 publications

    72 citations

  6. Carnegie Mellon University

    Pittsburgh, United States

    1 h-index

    1 publications

    25 citations

  7. University of California System

    Oakland, United States

    1 h-index

    1 publications

    25 citations

  8. University of California, Irvine

    Irvine, United States

    1 h-index

    1 publications

    25 citations

1–8 of 11

Venues

  1. Journal of Symbolic Logic

    3 publications · 126 citations

    3

    h-index

  2. Canadian Journal of Mathematics

    2 publications · 45 citations

    2

    h-index

  3. Annals of Mathematics

    1 publications · 84 citations

    1

    h-index

  4. Bulletin of the American Mathematical Society

    1 publications · 58 citations

    1

    h-index

1–4