Concepedia

Model Categories

Model category is a category equipped with three distinguished classes of morphisms—weak equivalences, fibrations, and cofibrations—that satisfy a set of axioms enabling the systematic study of homotopy theory in a general categorical setting.

567

Publications

27.2K

Citations

623

Authors

356

Institutions

Publications per year

2017–2026

87

Variants

Model Category

Parents

Publications

567

Virasoro algebras and coset space models

P. Goodard, Adrian Kent, D. Olive · Physics Letters B · 1985 · 796 citations

, , +14

Algebras and Modules in Monoidal Model Categories

Stefan Schwede, Brooke Shipley · Proceedings of the London Mathematical Society · 2000 · 510 citations · Full text

, , +11

Model Categories of Diagram Spectra

Michael A. Mandell, J. P. May, Stefan Schwede et al. · Proceedings of the London Mathematical Society · 2001 · 465 citations

, , +15

DG quotients of DG categories

Vladimir Drinfeld · Journal of Algebra · 2003 · 430 citations

, , +9

Homotopical algebraic geometry. II. Geometric stacks and applications

Bertrand Toën, Gabriele Vezzosi · Memoirs of the American Mathematical Society · 2008 · 417 citations · Full text

, , +14

1–5 of 567

Authors

623

  1. BS
    Brooke Shipley

    University of Illinois Chicago, United States

    14 publications · 2K citations

    12

    h-index

  2. SS
    Stefan Schwede

    Bielefeld University, Germany

    12 publications · 1.9K citations

    11

    h-index

  3. IM
    Ieke Moerdijk

    Utrecht University, Netherlands

    9 publications · 844 citations

    9

    h-index

  4. CB
    Clark Barwick

    Massachusetts Institute of Technology, United States

    8 publications · 325 citations

    8

    h-index

  5. JE
    Julia E. Bergner

    University of California, Riverside, United States

    7 publications · 385 citations

    7

    h-index

1–5 of 623

Institutions

356

  1. Max Planck Institute for Mathematics

    Bonn, Germany

    12 h-index

    15 publications

    1K citations

  2. University of Chicago

    Chicago, United States

    11 h-index

    14 publications

    2.9K citations

  3. Western University

    London, Canada

    11 h-index

    16 publications

    960 citations

  4. University of Cambridge

    Cambridge, United Kingdom

    11 h-index

    15 publications

    2.2K citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    15 publications

    481 citations

  6. University of Notre Dame

    Notre Dame, United States

    10 h-index

    12 publications

    904 citations

  7. Bielefeld University

    Bielefeld, Germany

    10 h-index

    13 publications

    1.5K citations

  8. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    9 h-index

    10 publications

    298 citations

1–8 of 356

Venues

  1. arXiv (Cornell University)

    Repository · 60 publications · 1.7K citations

    25

    h-index

  2. Journal of Pure and Applied Algebra

    44 publications · 2.5K citations

    20

    h-index

  3. Advances in Mathematics

    20 publications · 1.4K citations

    18

    h-index

  4. Algebraic & Geometric Topology

    AGT · 22 publications · 904 citations

    16

    h-index

  5. Homology Homotopy and Applications

    HHA · 28 publications · 888 citations

    16

    h-index

1–5