Concepedia

Stationary Reflection Principles

Stationary Reflection Principles is a reflection principle in set theory asserting that every stationary subset of a regular uncountable cardinal reflects to some ordinal below it, thereby distinguishing itself from weaker reflection principles by requiring stationarity preservation in the reflection process.

20

Publications

721

Citations

24

Authors

21

Institutions

Publications per year

2017–2026

2

Parents

Publications

20

SQUARES, SCALES AND STATIONARY REFLECTION

James Cummings, Matthew Foreman, Menachem Magidor · Journal of Mathematical Logic · 2001 · 202 citations

, , +16

Hysteresis effect in stationary reflection of shock waves

Sergey Gimelshein, Alfred E. Beylich · Physics of Fluids · 1995 · 107 citations

, , +12

Reflecting stationary sets and successors of singular cardinals

Saharon Shelah · Archive for Mathematical Logic · 1991 · 100 citations

, , +11

Separating stationary reflection principles

Paul Larson · Journal of Symbolic Logic · 2000 · 39 citations

, , +6

Projective Stationary Sets and a Strong Reflection Principle

Feng Qi, Thomas Jech · Journal of the London Mathematical Society · 1998 · 31 citations

, , +13

1–5 of 20

Authors

24

  1. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    3 publications · 137 citations

    3

    h-index

  2. MM
    Menachem Magidor

    Hebrew University of Jerusalem, Israel

    2 publications · 214 citations

    2

    h-index

  3. JC
    James Cummings

    Carnegie Mellon University, United States

    2 publications · 214 citations

    2

    h-index

  4. AR
    Assaf Rinot

    Bar-Ilan University, Israel

    2 publications · 29 citations

    2

    h-index

  5. SC
    Sean Cox

    University of California, Riverside, United States

    2 publications · 31 citations

    2

    h-index

1–5 of 24

Institutions

21

  1. Hebrew University of Jerusalem

    Jerusalem, Israel

    3 h-index

    3 publications

    314 citations

  2. Pennsylvania State University

    State College, United States

    2 h-index

    2 publications

    45 citations

  3. Nagoya University

    Nagoya, Japan

    2 h-index

    3 publications

    68 citations

  4. Carnegie Mellon University

    Pittsburgh, United States

    2 h-index

    2 publications

    214 citations

  5. University of California, Irvine

    Irvine, United States

    2 h-index

    2 publications

    221 citations

  6. Institució Catalana de Recerca i Estudis Avançats

    Barcelona, Spain

    1 h-index

    1 publications

    14 citations

  7. Tel Aviv University

    Tel Aviv, Israel

    1 h-index

    2 publications

    34 citations

  8. University of Illinois Chicago

    Chicago, United States

    1 h-index

    1 publications

    12 citations

1–8 of 21

Venues

  1. Journal of Symbolic Logic

    4 publications · 72 citations

    4

    h-index

  2. Annals of Pure and Applied Logic

    2 publications · 35 citations

    2

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 2 publications · 31 citations

    2

    h-index

  4. ArXiv.org

    Repository · 1 publications · 20 citations

    1

    h-index

  5. Mathematical logic quarterly

    MLQ · 1 publications · 29 citations

    1

    h-index

1–5