Concepedia

Universal Coefficient Theorem

The Universal Coefficient Theorem is a foundational result in algebraic topology that establishes a precise relationship between the homology or cohomology groups of a chain complex with coefficients in an abelian group and the corresponding groups with arbitrary coefficients, via exact sequences involving Ext and Tor functors.

43

Publications

2.4K

Citations

48

Authors

35

Institutions

Publications per year

2017–2026

3

Variants

Uct

Parents

Publications

43

The Künneth theorem and the universal coefficient theorem for Kasparov’s generalized K-functor

Jonathan Rosenberg, Claude Schochet · Duke Mathematical Journal · 1987 · 471 citations

, , +15

Seeing a c-theorem with holography

Robert C. Myers, Aninda Sinha · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology · 2010 · 422 citations · Full text

, , +14

A classification theorem for nuclear purely infinite simple $C^*$-algebras

N. Christopher Phillips · Documenta Mathematica · 2000 · 386 citations · Full text

, , +7

Classification of simple C*-algebras of tracial topological rank zero

Huaxin Lin · Duke Mathematical Journal · 2004 · 138 citations · Full text

, , +6

Purely infinite $C^*$-algebras arising from dynamical systems

Claire Anantharaman-Delaroche · Bulletin de la Société mathématique de France · 1997 · 124 citations · Full text

, , +5

1–5 of 43

Authors

48

  1. HL
    Huaxin Lin

    East China Normal University, China

    8 publications · 288 citations

    8

    h-index

  2. MD
    Marius Dădărlat

    Purdue University West Lafayette, United States

    2 publications · 149 citations

    2

    h-index

  3. NC
    N. Christopher Phillips

    University of Oregon, United States

    2 publications · 403 citations

    2

    h-index

  4. IM
    I. M. James

    Mathematical Institute of the Slovak Academy of Sciences, Slovakia

    1 publications · 10 citations

    1

    h-index

  5. JS
    Jack Spielberg

    Arizona State University, United States

    1 publications · 11 citations

    1

    h-index

1–5 of 48

Institutions

35

  1. University of Oregon

    Eugene, United States

    6 h-index

    6 publications

    589 citations

  2. East China Normal University

    Shanghai, China

    6 h-index

    6 publications

    146 citations

  3. Syracuse University

    Syracuse, United States

    2 h-index

    2 publications

    42 citations

  4. Indiana University Bloomington

    Bloomington, United States

    1 h-index

    1 publications

    10 citations

  5. Wesleyan University

    Middletown, United States

    1 h-index

    1 publications

    10 citations

  6. Meiji University

    Tokyo, Japan

    1 h-index

    1 publications

    44 citations

  7. University of Freiburg

    Freiburg im Breisgau, Germany

    1 h-index

    1 publications

    16 citations

  8. Statistical Service

    Nicosia, Cyprus

    1 h-index

    1 publications

    11 citations

1–8 of 35

Venues

  1. arXiv (Cornell University)

    Repository · 3 publications · 41 citations

    3

    h-index

  2. Duke Mathematical Journal

    DMJ · 3 publications · 728 citations

    3

    h-index

  3. Canadian Journal of Mathematics

    3 publications · 99 citations

    3

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 2 publications · 47 citations

    2

    h-index

  5. Canadian Mathematical Bulletin

    CMB · 2 publications · 28 citations

    2

    h-index

1–5