Concepedia

Fiberwise Quotients

Fiberwise Quotients is a quotient construction in topology that identifies points within each fiber of a given map while preserving the base space structure, thereby forming a new topological space by collapsing fibers according to an equivalence relation defined over a continuous surjection.

17

Publications

516

Citations

23

Authors

16

Institutions

Publications per year

2017–2026

1

Parents

Publications

17

A Compactification over \overline{𝑀_{𝑔}} of the Universal Moduli Space of Slope-Semistable Vector Bundles

Rahul Pandharipande · Journal of the American Mathematical Society · 1996 · 88 citations · Full text

, , +15

On Tangent Bundles of Fibre Spaces and Quotient Spaces

Robert H. Szczarba · American Journal of Mathematics · 1964 · 64 citations

, , +10

Euclidean quotients of finite metric spaces

Manor Mendel, Assaf Naor · Advances in Mathematics · 2004 · 60 citations · Full text

, , +12

Bi-quotient maps, countably bi-sequential spaces and related topics

Roy C. Olson · General Topology and its Applications · 1974 · 49 citations

, , +12

Quotient compact images of metric spaces, and related matters

Yasuhito Ikeda, C. Liu, Yoshio Tanaka · Topology and its Applications · 2002 · 48 citations

, , +13

1–5 of 17

Authors

23

  1. RC
    Roy C. Olson

    University of Washington, United States

    1 publications · 49 citations

    1

    h-index

  2. CL
    C. Liu

    Tokyo Gakugei University, Japan

    1 publications · 48 citations

    1

    h-index

  3. RH
    Robert H. Szczarba

    Yale University, United States

    1 publications · 64 citations

    1

    h-index

  4. AB
    Armand Borel

    Institute for Advanced Study, United States

    1 publications · 23 citations

    1

    h-index

  5. FL
    Frank L. Capobianco

    1 publications · 11 citations

    1

    h-index

1–5 of 23

Institutions

16

  1. Rikkyo University

    Tokyo, Japan

    1 h-index

    1 publications

    13 citations

  2. University of Chicago

    Chicago, United States

    1 h-index

    1 publications

    88 citations

  3. University of Washington Applied Physics Laboratory

    Seattle, United States

    1 h-index

    1 publications

    49 citations

  4. Universidad de Valladolid

    Valladolid, Spain

    1 h-index

    1 publications

    18 citations

  5. Chennai Mathematical Institute

    Chennai, India

    1 h-index

    1 publications

    27 citations

  6. University of Georgia

    Athens, United States

    1 h-index

    1 publications

    12 citations

  7. Microsoft (United States)

    Redmond, United States

    1 h-index

    1 publications

    60 citations

  8. Tokyo Gakugei University

    Tokyo, Japan

    1 h-index

    2 publications

    96 citations

1–8 of 16

Venues

  1. Topology and its Applications

    2 publications · 75 citations

    2

    h-index

  2. Foundations of Computational Mathematics

    1 publications · 14 citations

    1

    h-index

  3. Journal of Algebra

    1 publications · 13 citations

    1

    h-index

  4. Journal of the American Mathematical Society

    JAMS · 1 publications · 88 citations

    1

    h-index

  5. Educational Studies in Mathematics

    1 publications · 12 citations

    1

    h-index

1–5