Concepedia

Covering Maps

Covering Maps is a continuous surjective map between topological spaces such that every point in the target space has an open neighborhood evenly covered by the map, meaning its preimage is a disjoint union of open sets each mapped homeomorphically onto the neighborhood.

108

Publications

2.9K

Citations

145

Authors

105

Institutions

Publications per year

2017–2026

10

Variants

Covering Map

Parents

Publications

108

A note on closed maps and compact sets

E. Michael · Israel Journal of Mathematics · 1964 · 156 citations

, , +10

Covering properties of fuzzy topological spaces

C.K Wong · Journal of Mathematical Analysis and Applications · 1973 · 99 citations

, , +10

Inverse limit sequences with covering maps

Michael C. McCord · Transactions of the American Mathematical Society · 1965 · 96 citations

, , +6

Locally covering maps in metric spaces and coincidence points

A. V. Arutyunov, B. D. Gel’man, Valeri Obukhovskiĭ · Journal of Fixed Point Theory and Applications · 2009 · 95 citations

, , +5

Covering groups of non-connected topological groups revisited

Ronald Brown, Osman Mucuk · Mathematical Proceedings of the Cambridge Philosophical Society · 1994 · 78 citations

, , +14

1–5 of 108

Authors

145

  1. AV
    A. V. Arutyunov

    Peoples' Friendship University of Russia, Russia

    5 publications · 219 citations

    5

    h-index

  2. ES
    E. S. Zhukovskiy

    Tambov State University, Russia

    3 publications · 43 citations

    3

    h-index

  3. NB
    N. Brodskiy

    University of Tennessee at Knoxville, United States

    3 publications · 71 citations

    3

    h-index

  4. AL
    Allan L. Edmonds

    Indiana University Bloomington, United States

    3 publications · 87 citations

    3

    h-index

  5. BL
    Brendon LaBuz

    University of Tennessee at Knoxville, United States

    3 publications · 71 citations

    3

    h-index

1–5 of 145

Institutions

105

  1. Peoples' Friendship University of Russia

    Moscow, Russia

    5 h-index

    5 publications

    198 citations

  2. University of Tennessee at Knoxville

    Knoxville, United States

    5 h-index

    11 publications

    340 citations

  3. Institute of Mathematics

    Warsaw, Poland

    3 h-index

    3 publications

    62 citations

  4. Lomonosov Moscow State University

    Moscow, Russia

    3 h-index

    3 publications

    50 citations

  5. Tambov State University

    Tambov, Russia

    3 h-index

    3 publications

    43 citations

  6. University of Maryland, College Park

    College Park, United States

    2 h-index

    2 publications

    102 citations

  7. Russian Academy of Sciences

    Moscow, Russia

    2 h-index

    2 publications

    36 citations

  8. All Russian Institute for Scientific and Technical Information

    Moscow, Russia

    2 h-index

    2 publications

    36 citations

1–8 of 105

Venues

  1. Topology and its Applications

    11 publications · 252 citations

    11

    h-index

  2. Pacific Journal of Mathematics

    5 publications · 158 citations

    5

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 4 publications · 199 citations

    4

    h-index

  4. 3

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 3 publications · 51 citations

    3

    h-index

1–5