Concepedia

Cardinal Collapse

Cardinal Collapse is a theoretical framework in set theory that characterizes the phenomenon whereby distinct cardinal numbers become equinumerous in a forcing extension, thereby collapsing the cardinal hierarchy.

7

Publications

170

Citations

6

Authors

7

Institutions

Publications per year

2017–2026

0

Parents

Publications

7

Not collapsing cardinals ≤κ in (<κ)-support iterations

Saharon Shelah · Israel Journal of Mathematics · 2003 · 40 citations

, , +4

Left Separated Spaces With Point-Countable Bases

William G. Fleissner · Transactions of the American Mathematical Society · 1986 · 33 citations · Full text

, , +10

Collapse and convergence in class theory

Malcolm Waters · Theory and Society · 1991 · 29 citations

, , +6

Successor of singulars: Combinatorics and not collapsing cardinals ≤gk in (<gk)-support iterations

Saharon Shelah · Israel Journal of Mathematics · 2003 · 23 citations

, , +8

Left separated spaces with point-countable bases

William G. Fleissner · Transactions of the American Mathematical Society · 1986 · 23 citations · Full text

, , +10

1–5 of 7

Authors

6

  1. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    3 publications · 74 citations

    3

    h-index

  2. WG
    William G. Fleissner

    McGill University, Canada

    2 publications · 56 citations

    2

    h-index

  3. MW
    Malcolm Waters

    University of Tasmania, Australia

    1 publications · 29 citations

    1

    h-index

  4. PM
    Pierre Matet

    Centre National de la Recherche Scientifique, France

    1 publications · 11 citations

    1

    h-index

  5. FD
    Franklin D. Tall

    University of Toronto, Canada

    1 publications · 11 citations

    1

    h-index

1–5 of 6

Institutions

7

  1. Rutgers, The State University of New Jersey

    New Brunswick, United States

    3 h-index

    3 publications

    74 citations

  2. Hebrew University of Jerusalem

    Jerusalem, Israel

    3 h-index

    3 publications

    74 citations

  3. University of Wisconsin–Madison

    Madison, United States

    2 h-index

    2 publications

    63 citations

  4. Laboratoire de Mathématiques d'Orsay

    Orsay, France

    1 h-index

    1 publications

    11 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    1 h-index

    1 publications

    11 citations

  6. University of Nebraska at Omaha

    Omaha, United States

    1 h-index

    1 publications

    11 citations

  7. University of Tasmania

    Hobart, Australia

    1 h-index

    1 publications

    29 citations

1–7 of 7

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 4 publications · 78 citations

    4

    h-index

  2. Israel Journal of Mathematics

    2 publications · 63 citations

    2

    h-index

  3. Theory and Society

    1 publications · 29 citations

    1

    h-index

1–3