Concepedia

Covering Dimension

Covering Dimension is a topological invariant that belongs to the class of dimension functions, differentiating itself by quantifying the minimum order of open covers required to cover a space such that every point lies in at most one element of the cover.

83

Publications

2.9K

Citations

100

Authors

73

Institutions

Publications per year

2017–2026

6

Variants

Lebesgue Covering Dimension

Parents

Publications

83

Bounds on the von Neumann dimension of $L\sp 2$-cohomology and the Gauss-Bonnet theorem for open manifolds

Jeff Cheeger, Mikhael Gromov · Journal of Differential Geometry · 1985 · 225 citations · Full text

, , +9

Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials

Alex Eskin, Andreĭ Okounkov · Inventiones mathematicae · 2001 · 202 citations · Full text

, , +12

COVERING DIMENSION AND QUASIDIAGONALITY

Eberhard Kirchberg, Wilhelm Winter · International Journal of Mathematics · 2004 · 166 citations

, , +7

A cohomological definition of dimension for locally compact Hausdorff spaces

Haskell Cohen · Duke Mathematical Journal · 1954 · 90 citations

, , +11

Covering dimension for nuclear C∗-algebras

Wilhelm Winter · Journal of Functional Analysis · 2003 · 79 citations

, , +7

1–5 of 83

Authors

100

  1. WW
    Wilhelm Winter

    University of Münster, Germany

    6 publications · 380 citations

    6

    h-index

  2. KM
    Kiiti Morita

    University of Education, Winneba, Ghana

    3 publications · 126 citations

    3

    h-index

  3. AM
    A.C. Megaritis

    University of Patras, Greece

    2 publications · 32 citations

    2

    h-index

  4. JN
    Jun-iti Nagata

    University of Pittsburgh, United States

    2 publications · 55 citations

    2

    h-index

  5. WT
    William T. Trotter

    University of South Carolina, United States

    2 publications · 66 citations

    2

    h-index

1–5 of 100

Institutions

73

  1. University of Münster

    Münster, Germany

    6 h-index

    7 publications

    549 citations

  2. University of Louisville

    Louisville, United States

    3 h-index

    5 publications

    66 citations

  3. University of Patras

    Pátrai, Greece

    3 h-index

    4 publications

    64 citations

  4. University of California, Berkeley

    Berkeley, United States

    2 h-index

    2 publications

    248 citations

  5. Georgia Institute of Technology

    Atlanta, United States

    2 h-index

    3 publications

    103 citations

  6. South China University of Technology

    Guangzhou, China

    2 h-index

    4 publications

    82 citations

  7. Tel Aviv University

    Tel Aviv, Israel

    2 h-index

    2 publications

    58 citations

  8. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    2 publications

    80 citations

1–8 of 73

Venues

  1. Pacific Journal of Mathematics

    6 publications · 157 citations

    6

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 5 publications · 103 citations

    5

    h-index

  3. Topology and its Applications

    4 publications · 75 citations

    4

    h-index

  4. Duke Mathematical Journal

    DMJ · 3 publications · 156 citations

    3

    h-index

  5. 2

    h-index

1–5