Concepedia

Forcing Notions

Forcing Notions is a foundational framework in set theory that distinguishes itself by providing systematic methods for extending models of Zermelo-Fraenkel set theory to satisfy specific statements, particularly through the introduction of generic sets that force the truth or falsity of propositions such as the Continuum Hypothesis.

135

Publications

4.2K

Citations

143

Authors

115

Institutions

Publications per year

2017–2026

7

Variants

Forcing Posets

Parents

Publications

135

Delay Embeddings for Forced Systems. I. Deterministic Forcing

J. Stark · Journal of Nonlinear Science · 1999 · 212 citations

, , +11

Some applications of the notions of forcing and generic sets

Solomon Feferman · Fundamenta Mathematicae · 1964 · 209 citations · Full text

, , +7

Forcing axioms and stationary sets

Boban Veličković · Advances in Mathematics · 1992 · 144 citations

, , +6

The Making Of The Drakkar Forcing Set Dfs5

Raphaël Dussin, Bernard Barnier · Zenodo (CERN European Organization for Nuclear Research) · 2018 · 91 citations · Full text

, , +4

The Mathematical Development of Set Theory from Cantor to Cohen

Akihiro Kanamori · Bulletin of Symbolic Logic · 1996 · 90 citations

, , +6

1–5 of 135

Authors

143

  1. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    23 publications · 713 citations

    16

    h-index

  2. JB
    Joan Bagaria

    Universitat de Barcelona, Spain

    6 publications · 132 citations

    6

    h-index

  3. JD
    Joel David Hamkins

    City University of New York, United States

    6 publications · 148 citations

    6

    h-index

  4. AR
    Andrzej Rosłanowski

    Hebrew University of Jerusalem, Israel

    6 publications · 130 citations

    6

    h-index

  5. MG
    Moti Gitik

    Tel Aviv University, Israel

    5 publications · 133 citations

    5

    h-index

1–5 of 143

Institutions

115

  1. Hebrew University of Jerusalem

    Jerusalem, Israel

    15 h-index

    25 publications

    858 citations

  2. Rutgers, The State University of New Jersey

    New Brunswick, United States

    10 h-index

    12 publications

    422 citations

  3. Université Paris Cité

    Paris, France

    7 h-index

    10 publications

    248 citations

  4. University of California, Berkeley

    Berkeley, United States

    7 h-index

    8 publications

    408 citations

  5. Universitat de Barcelona

    Barcelona, Spain

    7 h-index

    8 publications

    156 citations

  6. The Graduate Center, CUNY

    New York, United States

    6 h-index

    7 publications

    164 citations

  7. City University of New York

    New York, United States

    5 h-index

    7 publications

    169 citations

  8. University of Michigan

    Ann Arbor, United States

    5 h-index

    8 publications

    169 citations

1–8 of 115

Venues

  1. Journal of Symbolic Logic

    34 publications · 966 citations

    19

    h-index

  2. Annals of Pure and Applied Logic

    13 publications · 280 citations

    11

    h-index

  3. Israel Journal of Mathematics

    10 publications · 266 citations

    10

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 9 publications · 262 citations

    9

    h-index

  5. Archive for Mathematical Logic

    8 publications · 173 citations

    8

    h-index

1–5