Concepedia

Nagata Dimension

Nagata Dimension is a topological dimension invariant defined as the supremum of the orders of all families of open sets in a metric space that are uniformly bounded and have the property that each point belongs to at most \( n+1 \) members of the family, distinguishing it from classical covering dimensions by incorporating uniform local finiteness with respect to a given base.

13

Publications

312

Citations

23

Authors

17

Institutions

Publications per year

2017–2026

2

Parents

Publications

13

A Hurewicz theorem for the Assouad-Nagata dimension

N. Brodskiy, Jerzy Dydak, Michael Levin et al. · Journal of the London Mathematical Society · 2008 · 66 citations · Full text

, , +9

Prüfer ∗-multiplication domains, Nagata rings, and Kronecker function rings

Gyu Whan Chang · Journal of Algebra · 2007 · 36 citations

, , +11

On asymptotic Assouad–Nagata dimension

Alexander Dranishnikov, Justin S. Smith · Topology and its Applications · 2006 · 33 citations

, , +3

Nagata dimension, quasisymmetric embeddings, and Lipschitz extensions

Urs Lang, Thilo Schlichenmaier · ArXiv.org · 2004 · 31 citations · Full text

, , +16

Graded integral domains and Nagata rings

David F. Anderson, Gyu Whan Chang · Journal of Algebra · 2013 · 26 citations

, , +9

1–5 of 13

Authors

23

  1. NB
    N. Brodskiy

    University of Tennessee at Knoxville, United States

    3 publications · 98 citations

    3

    h-index

  2. JD
    Jerzy Dydak

    University of Tennessee at Knoxville, United States

    3 publications · 98 citations

    3

    h-index

  3. UL
    Urs Lang

    ETH Zurich, Switzerland

    3 publications · 55 citations

    3

    h-index

  4. AM
    Atish Mitra

    University of Tennessee at Knoxville, United States

    2 publications · 85 citations

    2

    h-index

  5. GW
    Gyu Whan Chang

    Incheon National University, South Korea

    2 publications · 62 citations

    2

    h-index

1–5 of 23

Institutions

17

  1. University of Tennessee at Knoxville

    Knoxville, United States

    4 h-index

    9 publications

    307 citations

  2. Incheon National University

    Incheon, South Korea

    2 h-index

    2 publications

    62 citations

  3. Université de Bordeaux

    Bordeaux, France

    1 h-index

    1 publications

    19 citations

  4. University of Florida

    Gainesville, United States

    1 h-index

    2 publications

    66 citations

  5. Konkuk University

    Seoul, South Korea

    1 h-index

    1 publications

    11 citations

  6. ETH Zurich

    Zurich, Switzerland

    1 h-index

    2 publications

    22 citations

  7. Board of the Swiss Federal Institutes of Technology

    Zurich, Switzerland

    1 h-index

    1 publications

    13 citations

  8. OsloMet – Oslo Metropolitan University

    Oslo, Norway

    1 h-index

    1 publications

    11 citations

1–8 of 17

Venues

  1. Journal of Algebra

    2 publications · 62 citations

    2

    h-index

  2. ArXiv.org

    Repository · 2 publications · 46 citations

    2

    h-index

  3. Bulletin of the American Mathematical Society

    1 publications · 22 citations

    1

    h-index

  4. Journal of the London Mathematical Society

    1 publications · 66 citations

    1

    h-index

  5. Topology and its Applications

    1 publications · 33 citations

    1

    h-index

1–5