Concepedia

Homotopy Lifting

Homotopy Lifting is a fundamental property in algebraic topology that asserts, for a given covering map, the unique existence of a lift of a homotopy in the base space to the total space, provided an initial lift of the starting point is specified.

161

Publications

5.6K

Citations

238

Authors

137

Institutions

Publications per year

2017–2026

16

Variants

Homotopy Lifting Property

Parents

Publications

161

Lifting of Quantum Linear Spaces and Pointed Hopf Algebras of Orderp3

Nicolás Andruskiewitsch, Henriette Schneider · Journal of Algebra · 1998 · 332 citations

, , +12

A homotopic deformation along p of a Leray-Schauder degree result and existence for (¦u′¦p − 2u′)′ + ƒ(t, u) = 0, u(0) = u(T) = 0, p > 1

Manuel del Pino, Manuel Elgueta, Raúl Manásevich · Journal of Differential Equations · 1989 · 257 citations

, , +7

Homotopical algebraic geometry I: topos theory

Bertrand Toën, Gabriele Vezzosi · Advances in Mathematics · 2004 · 221 citations · Full text

, , +13

A generalization of the homology and homotopy suspension

Tudor Ganea · Commentarii Mathematici Helvetici · 1964 · 161 citations

, , +9

Liftings and Weak Liftings of Modules

Maurice Auslander, Songqing Ding · Journal of Algebra · 1993 · 150 citations

, , +5

1–5 of 161

Authors

238

  1. AJ
    Andrew J. Sommese

    University of Notre Dame, United States

    4 publications · 260 citations

    4

    h-index

  2. JV
    Jan Verschelde

    University of Illinois Chicago, United States

    4 publications · 152 citations

    4

    h-index

  3. TB
    T. B. Rushing

    University of Zagreb, Croatia

    2 publications · 30 citations

    2

    h-index

  4. MP
    Mark Powell

    Pohang University of Science and Technology, South Korea

    2 publications · 69 citations

    2

    h-index

  5. GA
    Guy Allaud

    University at Albany, State University of New York, United States

    2 publications · 43 citations

    2

    h-index

1–5 of 238

Institutions

137

  1. University of Notre Dame

    Notre Dame, United States

    6 h-index

    7 publications

    459 citations

  2. Max Planck Institute for Mathematics

    Bonn, Germany

    4 h-index

    4 publications

    95 citations

  3. Universidade de São Paulo

    São Paulo, Brazil

    3 h-index

    5 publications

    95 citations

  4. University of Illinois Chicago

    Chicago, United States

    3 h-index

    5 publications

    167 citations

  5. University of Chicago

    Chicago, United States

    3 h-index

    3 publications

    52 citations

  6. The Ohio State University

    Columbus, United States

    2 h-index

    2 publications

    32 citations

  7. Rice University

    Houston, United States

    2 h-index

    2 publications

    32 citations

  8. Seattle University

    Seattle, United States

    2 h-index

    2 publications

    185 citations

1–8 of 137

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 13 publications · 324 citations

    11

    h-index

  2. Pacific Journal of Mathematics

    7 publications · 346 citations

    7

    h-index

  3. Advances in Mathematics

    6 publications · 364 citations

    6

    h-index

  4. Topology

    5 publications · 203 citations

    5

    h-index

  5. Journal of Pure and Applied Algebra

    5 publications · 101 citations

    5

    h-index

1–5