Concepedia

Sard's Theorem

Sard's Theorem is a fundamental result in differential topology stating that the set of critical values of a smooth map between smooth manifolds has Lebesgue measure zero in the target manifold.

53

Publications

4K

Citations

62

Authors

60

Institutions

Publications per year

2017–2026

3

Variants

Morse-sard TheoremSard Theorem

Parents

Publications

53

Topology from the Differentiable Viewpoint.

Edgar H. Brown, John Milnor · American Mathematical Monthly · 1967 · 1.5K citations

, , +14

An Infinite Dimensional Version of Sard's Theorem

Stephen T. Smale · American Journal of Mathematics · 1965 · 542 citations

, , +5

Clarke Subgradients of Stratifiable Functions

Jérôme Bolte, Aris Daniilidis, Adrian S. Lewis et al. · SIAM Journal on Optimization · 2007 · 374 citations

, , +10

The Behavior of a Function on Its Critical Set

Anthony P. Morse · Annals of Mathematics · 1939 · 139 citations

, , +5

Semialgebraic Sard Theorem for Generalized Critical Values

Krzysztof Kurdyka, Patrice Orro, S. Simon · Journal of Differential Geometry · 2000 · 128 citations · Full text

, , +5

1–5 of 53

Authors

62

  1. LR
    Ludovic Rifford

    Université Côte d'Azur, France

    5 publications · 184 citations

    5

    h-index

  2. AD
    A. D. Ioffe

    Technion – Israel Institute of Technology, Israel

    4 publications · 78 citations

    4

    h-index

  3. AN
    Alec Norton

    The University of Texas at Austin, United States

    3 publications · 98 citations

    3

    h-index

  4. AS
    Adrian S. Lewis

    Cornell University, United States

    3 publications · 445 citations

    3

    h-index

  5. MV
    Mikhail V. Korobkov

    Sobolev Institute of Mathematics, Russia

    3 publications · 67 citations

    3

    h-index

1–5 of 62

Institutions

60

  1. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    13 publications

    400 citations

  2. Universitat Autònoma de Barcelona

    Cerdanyola del Vallès, Spain

    4 h-index

    5 publications

    813 citations

  3. Technion – Israel Institute of Technology

    Haifa, Israel

    3 h-index

    3 publications

    67 citations

  4. Laboratoire Jean-Alexandre Dieudonné

    Nice, France

    3 h-index

    4 publications

    121 citations

  5. Sorbonne Université

    Paris, France

    3 h-index

    3 publications

    448 citations

  6. Cornell University

    Ithaca, United States

    3 h-index

    3 publications

    87 citations

  7. Université Côte d'Azur

    Nice, France

    3 h-index

    3 publications

    117 citations

  8. Institute of Mathematics

    Warsaw, Poland

    2 h-index

    3 publications

    115 citations

1–8 of 60

Venues

  1. Proceedings of the American Mathematical Society

    PROC · 5 publications · 129 citations

    5

    h-index

  2. Indiana University Mathematics Journal

    IUMJ · 3 publications · 68 citations

    3

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 3 publications · 100 citations

    3

    h-index

  4. American Mathematical Monthly

    3 publications · 1.5K citations

    3

    h-index

  5. 2

    h-index

1–5