Concepedia

Simple Homotopy Type

Simple Homotopy Type is a homotopy invariant of topological spaces, specifically a refinement of homotopy type that classifies CW complexes up to a sequence of elementary expansions and collapses, thereby distinguishing spaces by the combinatorial structure of their cell attachments.

38

Publications

1.2K

Citations

51

Authors

31

Institutions

Publications per year

2017–2026

1

Parents

Publications

38

Infinite simple homotopy types

L. C. Siebenmann · Indagationes Mathematicae (Proceedings) · 1970 · 133 citations

, , +9

Some New Four-Manifolds

Sylvain E. Cappell, Julius L. Shaneson · Annals of Mathematics · 1976 · 105 citations

, , +10

The Homeomorphism Group of a Compact Hilbert Cube Manifold is an ANR

Steve Ferry · Annals of Mathematics · 1977 · 89 citations

, , +11

Higher Simple Homotopy Theory

Allen Hatcher · Annals of Mathematics · 1975 · 87 citations

, , +8

Homotopy conditions which detect simple homotopy equivalences

Thomas Chapman · Pacific Journal of Mathematics · 1979 · 49 citations · Full text

, , +10

1–5 of 38

Authors

51

  1. MS
    Makoto Sakuma

    The University of Osaka, Japan

    2 publications · 54 citations

    2

    h-index

  2. DL
    Donghi Lee

    Pusan National University, South Korea

    2 publications · 54 citations

    2

    h-index

  3. TC
    Thomas Chapman

    University of California, Los Angeles, United States

    2 publications · 75 citations

    2

    h-index

  4. TA
    T. A. Chapman

    University of Kentucky, United States

    2 publications · 39 citations

    2

    h-index

  5. SF
    Steve Ferry

    Rutgers, The State University of New Jersey, United States

    2 publications · 130 citations

    2

    h-index

1–5 of 51

Institutions

31

  1. Institute for Advanced Study

    Princeton, United States

    3 h-index

    3 publications

    99 citations

  2. University of Kentucky

    Lexington, United States

    2 h-index

    2 publications

    62 citations

  3. Pusan National University

    Busan, South Korea

    2 h-index

    2 publications

    54 citations

  4. University of Oregon

    Eugene, United States

    2 h-index

    3 publications

    118 citations

  5. Institute of Science and Technology Austria

    Klosterneuburg, Austria

    2 h-index

    3 publications

    62 citations

  6. Hiroshima University

    Hiroshima, Japan

    2 h-index

    2 publications

    54 citations

  7. Pohang University of Science and Technology

    Pohang, South Korea

    1 h-index

    1 publications

    35 citations

  8. East China Normal University

    Shanghai, China

    1 h-index

    1 publications

    38 citations

1–8 of 31

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 3 publications · 94 citations

    3

    h-index

  2. Annals of Mathematics

    3 publications · 281 citations

    3

    h-index

  3. Commentarii Mathematici Helvetici

    CMH · 3 publications · 69 citations

    3

    h-index

  4. General Topology and its Applications

    2 publications · 41 citations

    2

    h-index

  5. Pacific Journal of Mathematics

    2 publications · 75 citations

    2

    h-index

1–5