Concepedia

Künneth Theorem

The Künneth Theorem is a fundamental result in homology theory that establishes an isomorphism between the homology of a product space and the direct sum of tensor products of the homologies of the individual spaces, thereby providing a method to compute the homology of product spaces in terms of the homologies of their factors.

37

Publications

2K

Citations

52

Authors

38

Institutions

Publications per year

2017–2026

8

Variants

Künneth Formula

Parents

Publications

37

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

On a class of type II<sub>1</sub>factors with Betti numbers invariants

Sorin Popa · Annals of Mathematics · 2006 · 379 citations · Full text

, , +15

Topological methods for<i>C</i><sup>∗</sup>-algebras. II. Geometry resolutions and the Künneth formula

Claude Schochet · Pacific Journal of Mathematics · 1982 · 119 citations · Full text

, , +11

Motivic cell structures

Daniel Dugger, Daniel C. Isaksen · Algebraic & Geometric Topology · 2005 · 101 citations · Full text

, , +11

Vector bundles and the Künneth formula

Michael Atiyah · Topology · 1962 · 85 citations

, , +11

1–5 of 37

Authors

52

  1. CS
    Claude Schochet

    Wayne State University, United States

    2 publications · 590 citations

    2

    h-index

  2. HO
    Hervé Oyono‐Oyono

    Université Clermont Auvergne, France

    1 publications · 30 citations

    1

    h-index

  3. AM
    Akhil Mathew

    University of Chicago, United States

    1 publications · 14 citations

    1

    h-index

  4. GW
    G. Washnitzer

    Princeton University, United States

    1 publications · 32 citations

    1

    h-index

  5. BT
    Burt Totaro

    University of Cambridge, United Kingdom

    1 publications · 45 citations

    1

    h-index

1–5 of 52

Institutions

38

  1. University of California, Los Angeles

    Los Angeles, United States

    3 h-index

    3 publications

    543 citations

  2. Bielefeld University

    Bielefeld, Germany

    2 h-index

    2 publications

    50 citations

  3. University of Cambridge

    Cambridge, United Kingdom

    2 h-index

    2 publications

    52 citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    2 h-index

    2 publications

    87 citations

  5. Max Planck Institute for Mathematics

    Bonn, Germany

    2 h-index

    2 publications

    102 citations

  6. Wayne State University

    Detroit, United States

    2 h-index

    2 publications

    220 citations

  7. Texas A&M University

    College Station, United States

    1 h-index

    1 publications

    30 citations

  8. University of Duisburg-Essen

    Essen, Germany

    1 h-index

    2 publications

    34 citations

1–8 of 38

Venues

  1. arXiv (Cornell University)

    Repository · 3 publications · 40 citations

    3

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 3 publications · 50 citations

    3

    h-index

  3. Homology Homotopy and Applications

    HHA · 2 publications · 67 citations

    2

    h-index

  4. Algebraic & Geometric Topology

    AGT · 2 publications · 137 citations

    2

    h-index

  5. Duke Mathematical Journal

    DMJ · 2 publications · 539 citations

    2

    h-index

1–5