Concepedia

Transfinite Sequences

Transfinite Sequences is a mathematical construct in set theory that generalizes the notion of sequences to well-ordered index sets extending beyond the natural numbers, specifically indexed by ordinal numbers to capture transfinitely long progressions of elements.

33

Publications

1.7K

Citations

37

Authors

26

Institutions

Publications per year

2017–2026

3

Parents

Publications

33

The Ordinal Numbers

Grzegorz Bancerek · 1990 · 365 citations

, , +8

A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on

G. M. Kelly · Bulletin of the Australian Mathematical Society · 1980 · 206 citations · Full text

, , +13

On the restricted ordinal theorem

R. L. Goodstein · Journal of Symbolic Logic · 1944 · 197 citations

, , +11

On well-quasi-ordering transfinite sequences

C. St. J. A. Nash‐Williams · Mathematical Proceedings of the Cambridge Philosophical Society · 1965 · 134 citations

, , +8

Pseudo-jump operators. II: Transfinite iterations, hierarchies and minimal covers

Carl G. Jockusch, Richard A. Shore · Journal of Symbolic Logic · 1984 · 92 citations

, , +14

1–5 of 33

Authors

37

  1. GB
    Grzegorz Bancerek

    Bialystok University of Technology, Poland

    3 publications · 451 citations

    3

    h-index

  2. JL
    J. Lambek

    McGill University, Canada

    2 publications · 40 citations

    2

    h-index

  3. CS
    C. St. J. A. Nash‐Williams

    University of Aberdeen, United Kingdom

    2 publications · 222 citations

    2

    h-index

  4. AM
    Alberto Marcone

    University of Udine, Italy

    2 publications · 65 citations

    2

    h-index

  5. JW
    J. Wojciechowski

    West Virginia University, United States

    2 publications · 69 citations

    2

    h-index

1–5 of 37

Institutions

26

  1. Universitat de Barcelona

    Barcelona, Spain

    3 h-index

    3 publications

    43 citations

  2. Pennsylvania State University

    State College, United States

    2 h-index

    2 publications

    65 citations

  3. Collegio Carlo Alberto

    Moncalieri, Italy

    2 h-index

    2 publications

    65 citations

  4. University of Aberdeen

    Aberdeen, United Kingdom

    2 h-index

    2 publications

    222 citations

  5. Cornell University

    Ithaca, United States

    1 h-index

    2 publications

    184 citations

  6. University of North Carolina at Charlotte

    Charlotte, United States

    1 h-index

    1 publications

    12 citations

  7. McGill University

    Montreal, Canada

    1 h-index

    1 publications

    28 citations

  8. University of Auckland

    Auckland, New Zealand

    1 h-index

    1 publications

    14 citations

1–8 of 26

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 4 publications · 97 citations

    4

    h-index

  2. American Mathematical Monthly

    2 publications · 40 citations

    2

    h-index

  3. Journal of Symbolic Logic

    2 publications · 289 citations

    2

    h-index

  4. 2

    h-index

  5. Fundamenta Informaticae

    2 publications · 69 citations

    2

    h-index

1–5