Concepedia

Borel Hierarchy

The Borel Hierarchy is a stratification of the power set of a Polish space into increasingly complex Borel sets, indexed by countable ordinals, in which each level is defined by iterating operations of complementation and countable union starting from open sets.

52

Publications

1.8K

Citations

59

Authors

48

Institutions

Publications per year

2017–2026

3

Parents

Publications

52

Borel structure in groups and their duals

George W. Mackey · Transactions of the American Mathematical Society · 1957 · 345 citations · Full text

, , +5

Borel Structure in Groups and Their Duals

George W. Mackey · Transactions of the American Mathematical Society · 1957 · 115 citations

, , +5

Borel structures for function spaces

Robert J. Aumann · Illinois Journal of Mathematics · 1961 · 87 citations · Full text

, , +11

Borel equivalence relations and classifications of countable models

Greg Hjorth, Alexander S. Kechris · Annals of Pure and Applied Logic · 1996 · 80 citations

, , +4

Wadge hierarchy and Veblen hierarchy Part I: Borel sets of finite rank

J Duparc · Journal of Symbolic Logic · 2001 · 72 citations

, , +14

1–5 of 52

Authors

59

  1. AW
    Arnold W. Miller

    University of Wisconsin–Madison, United States

    4 publications · 95 citations

    4

    h-index

  2. JD
    J Duparc

    Université Paris Cité, France

    4 publications · 127 citations

    4

    h-index

  3. AS
    Alexander S. Kechris

    California Institute of Technology, United States

    3 publications · 187 citations

    3

    h-index

  4. AH
    A. H. Stone

    University of Rochester, United States

    3 publications · 67 citations

    3

    h-index

  5. GH
    Greg Hjorth

    University of California, Los Angeles, United States

    3 publications · 158 citations

    3

    h-index

1–5 of 59

Institutions

48

  1. Université Paris Cité

    Paris, France

    5 h-index

    7 publications

    248 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    7 publications

    248 citations

  3. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    4 h-index

    6 publications

    222 citations

  4. California Institute of Technology

    Pasadena, United States

    4 h-index

    5 publications

    298 citations

  5. Institute of Informatics of the Slovak Academy of Sciences

    Bratislava, Slovakia

    3 h-index

    3 publications

    45 citations

  6. University of Wisconsin–Madison

    Madison, United States

    3 h-index

    6 publications

    220 citations

  7. University of California System

    Oakland, United States

    2 h-index

    2 publications

    78 citations

  8. Fundación Ciencias Exactas y Naturales

    Buenos Aires, Argentina

    2 h-index

    3 publications

    42 citations

1–8 of 48

Venues

  1. Journal of Symbolic Logic

    8 publications · 230 citations

    8

    h-index

  2. Theoretical Computer Science

    5 publications · 151 citations

    5

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 4 publications · 502 citations

    4

    h-index

  4. Annals of Pure and Applied Logic

    4 publications · 147 citations

    4

    h-index

  5. Bulletin of Symbolic Logic

    3 publications · 121 citations

    3

    h-index

1–5