Concepedia

Aronszajn Trees

Aronszajn Trees is a type of uncountable tree of height ω₁ with no uncountable branches and no uncountable levels, distinguished by satisfying the tree property while avoiding the existence of an uncountable well-ordered subset.

20

Publications

1K

Citations

20

Authors

20

Institutions

Publications per year

2017–2026

1

Variants

Aronszajn Tree

Parents

Publications

20

Partitioning pairs of countable ordinals

Stevo Todorčević · Acta Mathematica · 1987 · 247 citations · Full text

, , +13

Aronszajn trees and the independence of the transfer property

William Mitchell · Annals of Mathematical Logic · 1972 · 232 citations

, , +2

Higher Souslin trees and the generalized continuum hypothesis

John Gregory · Journal of Symbolic Logic · 1976 · 99 citations

, , +12

Higher Souslin trees and the generalized continuum hypothesis

John Gregory · Journal of Symbolic Logic · 1976 · 66 citations

, , +12

Aronszajn trees on ℵ2 and ℵ3

Uri Abraham · Annals of Pure and Applied Logic · 1983 · 65 citations

, , +3

1–5 of 20

Authors

20

  1. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    2 publications · 31 citations

    2

    h-index

  2. ST
    Stevo Todorčević

    University of Toronto, Canada

    2 publications · 260 citations

    2

    h-index

  3. JK
    John Krueger

    University of California, Berkeley, United States

    2 publications · 30 citations

    2

    h-index

  4. JG
    John Gregory

    University College London, United Kingdom

    2 publications · 165 citations

    2

    h-index

  5. WJ
    William J. Mitchell

    University of Florida, United States

    1 publications · 16 citations

    1

    h-index

1–5 of 20

Institutions

20

  1. University of California, Berkeley

    Berkeley, United States

    3 h-index

    3 publications

    277 citations

  2. University at Buffalo, State University of New York

    Buffalo, United States

    2 h-index

    2 publications

    165 citations

  3. University of California, Irvine

    Irvine, United States

    2 h-index

    2 publications

    22 citations

  4. University of Vienna

    Vienna, Austria

    2 h-index

    2 publications

    27 citations

  5. Notre Dame of Dadiangas University

    General Santos, Philippines

    1 h-index

    1 publications

    10 citations

  6. The University of Texas at Austin

    Austin, United States

    1 h-index

    1 publications

    27 citations

  7. University of Notre Dame

    Notre Dame, United States

    1 h-index

    1 publications

    16 citations

  8. Institute for Advanced Study

    Berlin, Germany

    1 h-index

    1 publications

    247 citations

1–8 of 20

Venues

  1. Journal of Symbolic Logic

    4 publications · 204 citations

    4

    h-index

  2. Notre Dame Journal of Formal Logic

    2 publications · 26 citations

    2

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 2 publications · 35 citations

    2

    h-index

  4. Mathematical logic quarterly

    MLQ · 2 publications · 29 citations

    2

    h-index

  5. Bulletin of the London Mathematical Society

    1 publications · 42 citations

    1

    h-index

1–5