Concepedia

Singular Cardinal Hypothesis

The Singular Cardinal Hypothesis is a set-theoretic principle asserting that for every singular cardinal κ, the power of κ equals κ⁺, thereby specifying the behavior of cardinal exponentiation at singular cardinals under the assumption of the generalized continuum hypothesis.

40

Publications

1.5K

Citations

29

Authors

34

Institutions

Publications per year

2017–2026

2

Variants

Sch

Parents

Publications

40

SQUARES, SCALES AND STATIONARY REFLECTION

James Cummings, Matthew Foreman, Menachem Magidor · Journal of Mathematical Logic · 2001 · 202 citations

, , +16

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

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

, , +13

On the singular cardinals problem I

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

, , +9

All uncountable cardinals can be singular

Moti Gitik · Israel Journal of Mathematics · 1980 · 76 citations

, , +5

The negation of the singular cardinal hypothesis from o(K)=K++

Moti Gitik · Annals of Pure and Applied Logic · 1989 · 75 citations

, , +7

1–5 of 40

Authors

29

  1. MM
    Menachem Magidor

    Hebrew University of Jerusalem, Israel

    9 publications · 572 citations

    9

    h-index

  2. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    8 publications · 326 citations

    8

    h-index

  3. MG
    Moti Gitik

    Tel Aviv University, Israel

    7 publications · 313 citations

    7

    h-index

  4. JC
    James Cummings

    Carnegie Mellon University, United States

    5 publications · 281 citations

    5

    h-index

  5. MF
    Matthew Foreman

    University of California, Irvine, United States

    3 publications · 237 citations

    3

    h-index

1–5 of 29

Institutions

34

  1. Hebrew University of Jerusalem

    Jerusalem, Israel

    12 h-index

    17 publications

    774 citations

  2. Tel Aviv University

    Tel Aviv, Israel

    7 h-index

    7 publications

    260 citations

  3. Carnegie Mellon University

    Pittsburgh, United States

    7 h-index

    7 publications

    316 citations

  4. Rutgers, The State University of New Jersey

    New Brunswick, United States

    5 h-index

    5 publications

    64 citations

  5. University of California, Irvine

    Irvine, United States

    4 h-index

    4 publications

    254 citations

  6. University of Helsinki

    Helsinki, Finland

    2 h-index

    2 publications

    47 citations

  7. University of Vienna

    Vienna, Austria

    2 h-index

    2 publications

    34 citations

  8. University of Florida

    Gainesville, United States

    2 h-index

    2 publications

    60 citations

1–8 of 34

Venues

  1. Journal of Symbolic Logic

    8 publications · 179 citations

    8

    h-index

  2. Annals of Pure and Applied Logic

    8 publications · 264 citations

    8

    h-index

  3. Israel Journal of Mathematics

    4 publications · 389 citations

    4

    h-index

  4. Journal of Mathematical Logic

    4 publications · 283 citations

    4

    h-index

  5. Archive for Mathematical Logic

    3 publications · 94 citations

    3

    h-index

1–5