Concepedia

Borel Determinacy

Borel Determinacy is a theorem in descriptive set theory asserting that every Borel game is determined, meaning that for every Borel subset of the Baire space, one of the two players has a winning strategy in the associated infinite two-player game of perfect information.

19

Publications

1.2K

Citations

24

Authors

17

Institutions

Publications per year

2017–2026

0

Parents

Publications

19

Finite Determinacy of Smooth Map-Germs

C. T. C. Wall · Bulletin of the London Mathematical Society · 1981 · 403 citations

, , +5

Analytic determinacy and 0<sup>#</sup>

Leo Harrington · Journal of Symbolic Logic · 1978 · 197 citations

, , +8

On the Lebesgue measurability and the axiom of determinateness

Jan Mycielski, S. Świerczkowski · Fundamenta Mathematicae · 1964 · 161 citations · Full text

, , +10

An extension of borel determinacy

Donald A. Martin · Annals of Pure and Applied Logic · 1990 · 54 citations

, , +8

A determinacy approach to Borel combinatorics

Andrew Marks · Journal of the American Mathematical Society · 2015 · 53 citations · Full text

, , +6

1–5 of 19

Authors

24

  1. ES
    Eran Shmaya

    Northwestern University, United States

    2 publications · 44 citations

    2

    h-index

  2. AL
    Alain Louveau

    Sorbonne Université, France

    2 publications · 41 citations

    2

    h-index

  3. AD
    Andrew Du Plessis

    Aarhus University, Denmark

    2 publications · 72 citations

    2

    h-index

  4. TG
    Terence Gaffney

    Northeastern University, United States

    1 publications · 21 citations

    1

    h-index

  5. LH
    Leo Harrington

    University of California, Berkeley, United States

    1 publications · 197 citations

    1

    h-index

1–5 of 24

Institutions

17

  1. Université Paris Cité

    Paris, France

    4 h-index

    7 publications

    156 citations

  2. Sorbonne Université

    Paris, France

    3 h-index

    6 publications

    130 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    3 publications

    48 citations

  4. Aarhus University

    Aarhus, Denmark

    2 h-index

    3 publications

    93 citations

  5. University of California, Santa Barbara

    Santa Barbara, United States

    1 h-index

    1 publications

    21 citations

  6. California Institute of Technology

    Pasadena, United States

    1 h-index

    1 publications

    53 citations

  7. University of Toronto

    Toronto, Canada

    1 h-index

    1 publications

    10 citations

  8. University of California, Los Angeles

    Los Angeles, United States

    1 h-index

    1 publications

    54 citations

1–8 of 17

Venues

  1. Journal of Symbolic Logic

    3 publications · 260 citations

    3

    h-index

  2. Inventiones mathematicae

    2 publications · 72 citations

    2

    h-index

  3. Letters in Mathematical Physics

    1 publications · 13 citations

    1

    h-index

  4. Theoretical Computer Science

    1 publications · 26 citations

    1

    h-index

  5. CaltechAUTHORS (California Institute of Technology)

    Repository · 1 publications · 34 citations

    1

    h-index

1–5