Concepedia

Higher Homotopy Groups

Higher Homotopy Groups is a sequence of algebraic invariants in algebraic topology, generalizing the fundamental group by classifying homotopy classes of continuous maps from higher-dimensional spheres into a topological space, thereby capturing higher-dimensional hole structures that the fundamental group alone cannot detect.

117

Publications

3.8K

Citations

149

Authors

130

Institutions

Publications per year

2017–2026

19

Parents

Publications

117

Genetics of Homotopy Theory and the Adams Conjecture

Dennis Sullivan · Annals of Mathematics · 1974 · 295 citations

, , +7

Higher derived brackets and homotopy algebras

Theodore Voronov · Journal of Pure and Applied Algebra · 2005 · 292 citations · Full text

, , +11

Some title containing the words "homotopy" and "symplectic", e.g. this one

Pavol Ševera · ArXiv.org · 2001 · 125 citations · Full text

, , +17

Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements

Alexandru Dimca, Ştefan Papadima · Annals of Mathematics · 2003 · 118 citations · Full text

, , +13

Higher-dimensional crossed modules and the homotopy groups of (n+1)-ads

Graham Ellis, Richard Steiner · Journal of Pure and Applied Algebra · 1987 · 100 citations

, , +12

1–5 of 117

Authors

149

  1. DB
    David Blanc

    University of Haifa, Israel

    5 publications · 97 citations

    5

    h-index

  2. JW
    Jie Wu

    National University of Singapore, Singapore

    4 publications · 74 citations

    4

    h-index

  3. JM
    James M. Turner

    Pennsylvania State University, United States

    3 publications · 47 citations

    3

    h-index

  4. RB
    Ronald Brown

    Bangor University, United Kingdom

    3 publications · 46 citations

    3

    h-index

  5. MJ
    Mark Johnson

    University of Greater Manchester, United Kingdom

    3 publications · 47 citations

    3

    h-index

1–5 of 149

Institutions

130

  1. University of Chicago

    Chicago, United States

    7 h-index

    7 publications

    176 citations

  2. National University of Singapore

    Singapore, Singapore

    5 h-index

    5 publications

    90 citations

  3. University of Haifa

    Haifa, Israel

    4 h-index

    4 publications

    57 citations

  4. University of Oregon

    Eugene, United States

    4 h-index

    4 publications

    76 citations

  5. Calvin University

    Grand Rapids, United States

    3 h-index

    3 publications

    47 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    3 publications

    149 citations

  7. University of Göttingen

    Göttingen, Germany

    3 h-index

    3 publications

    71 citations

  8. University of Duisburg-Essen

    Essen, Germany

    3 h-index

    4 publications

    179 citations

1–8 of 130

Venues

  1. arXiv (Cornell University)

    Repository · 7 publications · 210 citations

    7

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 7 publications · 177 citations

    7

    h-index

  3. Topology

    6 publications · 227 citations

    6

    h-index

  4. Advances in Mathematics

    5 publications · 134 citations

    5

    h-index

  5. Annals of Mathematics

    5 publications · 544 citations

    5

    h-index

1–5