Concepedia

Topological Embedding Obstructions

Topological Embedding Obstructions is a theoretical construct in topological combinatorics that identifies necessary conditions, often expressed as algebraic or combinatorial invariants, whose failure prevents the existence of a continuous injective mapping of a simplicial complex into a Euclidean space of a given dimension.

28

Publications

778

Citations

48

Authors

35

Institutions

Publications per year

2017–2026

2

Parents

Publications

28

Obstructions to the Imbedding of a Complex in a Euclidean Space.: I. The First Obstruction

ARNOLD SHAPIRO · Annals of Mathematics · 1957 · 91 citations

, , +10

Van Kampen’s embedding Obstruction is incomplete for $2$-Complexes in $\rz^{4}$

Michael Freedman, Vyacheslav Krushkal, Peter Teichner · Mathematical Research Letters · 1994 · 59 citations · Full text

, , +5

Piecewise Linear Isotopy and Embedding of Elements and Spheres (II)

V. K. A. M. Gugenheim · Proceedings of the London Mathematical Society · 1953 · 54 citations

, , +8

Embedded positive constant r-mean curvature hypersurfaces in Mm × R

Xu Cheng, Harold Rosenberg · Anais da Academia Brasileira de Ciências · 2005 · 51 citations · Full text

, , +15

Embedding and knotting of manifolds in Euclidean spaces

A. Skopenkov · ArXiv.org · 2006 · 50 citations · Full text

, , +15

1–5 of 28

Authors

48

  1. AS
    A. Skopenkov

    Lomonosov Moscow State University, Russia

    2 publications · 71 citations

    2

    h-index

  2. MB
    Mladen Bestvina

    University of Utah, United States

    1 publications · 50 citations

    1

    h-index

  3. MH
    Michael Hutchings

    University of California, Berkeley, United States

    1 publications · 37 citations

    1

    h-index

  4. ST
    Siniša T. Vrećica

    University of Belgrade, Serbia

    1 publications · 10 citations

    1

    h-index

  5. EV
    Evgenij V. Shchepin

    1 publications · 11 citations

    1

    h-index

1–5 of 48

Institutions

35

  1. Université Paris Cité

    Paris, France

    1 h-index

    1 publications

    51 citations

  2. Michigan State University

    East Lansing, United States

    1 h-index

    1 publications

    25 citations

  3. University of Iowa

    Iowa City, United States

    1 h-index

    1 publications

    16 citations

  4. University of Glasgow

    Glasgow, United Kingdom

    1 h-index

    1 publications

    25 citations

  5. Instituto Superior Técnico

    Lisbon, Portugal

    1 h-index

    1 publications

    49 citations

  6. University of Auckland

    Auckland, New Zealand

    1 h-index

    1 publications

    15 citations

  7. Boise State University

    Boise, United States

    1 h-index

    1 publications

    16 citations

  8. Steklov Mathematical Institute

    Moscow, Russia

    1 h-index

    2 publications

    24 citations

1–8 of 35

Venues

  1. ArXiv.org

    Repository · 2 publications · 61 citations

    2

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 2 publications · 35 citations

    2

    h-index

  3. arXiv (Cornell University)

    Repository · 2 publications · 41 citations

    2

    h-index

  4. European Journal of Combinatorics

    1 publications · 15 citations

    1

    h-index

  5. Geometry & Topology

    1 publications · 37 citations

    1

    h-index

1–5