Concepedia

Uniformization Theorems

Uniformization Theorems is a foundational principle in descriptive set theory and determinacy axioms that asserts, for a given class of definable sets of reals, that every binary relation in that class admits a uniformizing function which selects exactly one element from each non-empty section while preserving the definability properties of the original relation.

219

Publications

11.3K

Citations

301

Authors

177

Institutions

Publications per year

2017–2026

27

Parents

Publications

219

Three dimensional manifolds, Kleinian groups and hyperbolic geometry

William P. Thurston · Bulletin of the American Mathematical Society · 1982 · 1.4K citations · Full text

, , +15

The Yamabe problem

John M. Lee, Thomas H. Parker · Bulletin of the American Mathematical Society · 1987 · 1.2K citations · Full text

, , +17

On uniformity within NC1

David A. Mix Barrington, Neil Immerman, Howard Straubing · Journal of Computer and System Sciences · 1990 · 485 citations

, , +2

The uniformization theorem for compact Kähler manifolds of nonnegative holomorphic bisectional curvature

Ngaiming Mok · Journal of Differential Geometry · 1988 · 261 citations · Full text

, , +11

Analytic quotients: theory of liftings for quotients over analytic ideals on the integers

Ilijas Farah · Memoirs of the American Mathematical Society · 2000 · 249 citations

, , +6

1–5 of 219

Authors

301

  1. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    6 publications · 192 citations

    6

    h-index

  2. FK
    Franz‐Viktor Kuhlmann

    University of Saskatchewan, Canada

    5 publications · 139 citations

    5

    h-index

  3. FL
    Feng Luo

    Rutgers, The State University of New Jersey, United States

    4 publications · 232 citations

    4

    h-index

  4. TW
    Tianqi Wu

    Courant Institute of Mathematical Sciences, United States

    4 publications · 232 citations

    4

    h-index

  5. JI
    John Isbell

    University at Buffalo, State University of New York, United States

    4 publications · 184 citations

    4

    h-index

1–5 of 301

Institutions

177

  1. Rutgers, The State University of New Jersey

    New Brunswick, United States

    8 h-index

    10 publications

    536 citations

  2. Hebrew University of Jerusalem

    Jerusalem, Israel

    6 h-index

    8 publications

    231 citations

  3. Stony Brook University

    Stony Brook, United States

    4 h-index

    6 publications

    282 citations

  4. University of Wisconsin–Madison

    Madison, United States

    4 h-index

    8 publications

    463 citations

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

    Le Chesnay-Rocquencourt, France

    4 h-index

    7 publications

    127 citations

  6. Northwestern University

    Evanston, United States

    4 h-index

    4 publications

    99 citations

  7. Courant Institute of Mathematical Sciences

    New York, United States

    3 h-index

    3 publications

    200 citations

  8. University of Oxford

    Oxford, United Kingdom

    3 h-index

    3 publications

    83 citations

1–8 of 177

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 15 publications · 441 citations

    13

    h-index

  2. Journal of Symbolic Logic

    15 publications · 369 citations

    12

    h-index

  3. Journal of Differential Geometry

    9 publications · 862 citations

    9

    h-index

  4. Bulletin of the American Mathematical Society

    9 publications · 3.2K citations

    9

    h-index

  5. Annals of Mathematics

    7 publications · 690 citations

    7

    h-index

1–5