Concepedia

Lifting Criterion

The Lifting Criterion is a theorem in algebraic topology that specifies the necessary and sufficient conditions for a continuous map from a path-connected and locally path-connected space into the base space of a covering space to lift to a map into the total space, in terms of the induced homomorphism on fundamental groups.

76

Publications

3.4K

Citations

135

Authors

73

Institutions

Publications per year

2017–2026

6

Variants

Lifting Theorem

Parents

Publications

76

Lifting of Quantum Linear Spaces and Pointed Hopf Algebras of Orderp3

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

, , +12

The Completely Positive Lifting Problem for C ∗ -algebras

Man-Duen Choi, Edward G. Effros · Annals of Mathematics · 1976 · 315 citations

, , +9

Analytic quotients: theory of liftings for quotients over analytic ideals on the integers

Ilijas Farah · Memoirs of the American Mathematical Society · 2000 · 249 citations

, , +6

On a quotient norm and the Sz.-Nagy-Foiaş lifting theorem

Stephen Parrott · Journal of Functional Analysis · 1978 · 214 citations

, , +3

Maximum Acceptable Weight of Lift

Stover H. Snook, CH Irvine · American Industrial Hygiene Association Journal · 1967 · 143 citations

, , +13

1–5 of 76

Authors

135

  1. MS
    Michael Shulman

    University of San Diego, United States

    2 publications · 106 citations

    2

    h-index

  2. AI
    A. Ionescu Tulcea

    Northwestern University, United States

    2 publications · 76 citations

    2

    h-index

  3. DH
    Don Hadwin

    University of New Hampshire, United States

    2 publications · 35 citations

    2

    h-index

  4. SM
    Shin-ichiro Mizumoto

    Tokyo Institute of Technology, Japan

    2 publications · 30 citations

    2

    h-index

  5. EG
    Edward G. Effros

    University of California, Los Angeles, United States

    2 publications · 429 citations

    2

    h-index

1–5 of 135

Institutions

73

  1. Ebara (Japan)

    Tokyo, Japan

    2 h-index

    4 publications

    122 citations

  2. Colgate University

    Hamilton, United States

    2 h-index

    2 publications

    64 citations

  3. University of Pennsylvania

    Philadelphia, United States

    2 h-index

    2 publications

    63 citations

  4. Heidelberg University

    Heidelberg, Germany

    2 h-index

    2 publications

    30 citations

  5. University of Parma

    Parma, Italy

    2 h-index

    2 publications

    64 citations

  6. Romanian Academy

    Bucharest, Romania

    2 h-index

    3 publications

    70 citations

  7. University of Bucharest

    Bucharest, Romania

    2 h-index

    4 publications

    84 citations

  8. University of New Hampshire

    Durham, United States

    2 h-index

    2 publications

    35 citations

1–8 of 73

Venues

  1. Pacific Journal of Mathematics

    8 publications · 346 citations

    8

    h-index

  2. arXiv (Cornell University)

    Repository · 4 publications · 164 citations

    4

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 4 publications · 132 citations

    4

    h-index

  4. Journal of Functional Analysis

    4 publications · 257 citations

    4

    h-index

  5. Mathematische Annalen

    3 publications · 69 citations

    3

    h-index

1–5