Concepedia

Nerve Theorems

Nerve Theorems is a fundamental result in topological combinatorics that establishes conditions under which the homotopy type of a union of topological spaces is preserved in the nerve complex of a covering.

33

Publications

1.4K

Citations

38

Authors

39

Institutions

Publications per year

2017–2026

5

Variants

Nerve Theorem

Parents

Publications

33

Triangulating Topological Spaces

Herbert Edelsbrunner, Nimish R. Shah · International Journal of Computational Geometry & Applications · 1997 · 148 citations

, , +12

Dendroidal sets and simplicial operads

Denis-Charles Cisinski, Ieke Moerdijk · Journal of Topology · 2013 · 107 citations · Full text

, , +15

Triangulating topological spaces

Herbert Edelsbrunner, Nimish R. Shah · 1994 · 95 citations

, , +12

Strong Homotopy Types, Nerves and Collapses

Jonathan Ariel Barmak, Elías Gabriel Minian · Discrete & Computational Geometry · 2011 · 95 citations · Full text

, , +7

d-Collapsing and nerves of families of convex sets

Gerd Wegner · Archiv der Mathematik · 1975 · 91 citations

, , +9

1–5 of 33

Authors

38

  1. AM
    Antonio M. Cegarra

    Universidad de Granada, Spain

    2 publications · 57 citations

    2

    h-index

  2. NR
    Nimish R. Shah

    University of Illinois Urbana-Champaign, United States

    2 publications · 243 citations

    2

    h-index

  3. JA
    Jonathan Ariel Barmak

    Universidad de Buenos Aires, Argentina

    2 publications · 105 citations

    2

    h-index

  4. MB
    Manuel Bullejos

    Universidad de Granada, Spain

    2 publications · 34 citations

    2

    h-index

  5. HE
    Herbert Edelsbrunner

    University of Illinois Urbana-Champaign, United States

    2 publications · 243 citations

    2

    h-index

1–5 of 38

Institutions

39

  1. Universidad de Granada

    Granada, Spain

    4 h-index

    9 publications

    280 citations

  2. Universidad de Buenos Aires

    Buenos Aires, Argentina

    2 h-index

    4 publications

    210 citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    2 h-index

    2 publications

    243 citations

  4. Mentor Technologies

    Tulsa, United States

    2 h-index

    2 publications

    243 citations

  5. Graz University of Technology

    Graz, Austria

    1 h-index

    1 publications

    21 citations

  6. Centre Inria de l'Université de Lorraine

    Villers-lès-Nancy, France

    1 h-index

    1 publications

    14 citations

  7. Laboratoire de Géologie de l’École Normale Supérieure

    Paris, France

    1 h-index

    1 publications

    14 citations

  8. Head Office of Geodesy and Cartography

    Warsaw, Poland

    1 h-index

    1 publications

    17 citations

1–8 of 39

Venues

  1. ArXiv.org

    Repository · 2 publications · 48 citations

    2

    h-index

  2. Memoirs of the American Mathematical Society

    2 publications · 68 citations

    2

    h-index

  3. Journal of Topology

    2 publications · 121 citations

    2

    h-index

  4. Algebraic & Geometric Topology

    AGT · 2 publications · 52 citations

    2

    h-index

  5. arXiv (Cornell University)

    Repository · 2 publications · 26 citations

    2

    h-index

1–5