Concepedia

Cellular Approximation Theorem

The Cellular Approximation Theorem is a foundational result in algebraic topology that asserts any continuous map between CW complexes is homotopic to a cellular map, which sends each n-skeleton of the domain into the n-skeleton of the target.

8

Publications

361

Citations

17

Authors

8

Institutions

Publications per year

2017–2026

1

Parents

Publications

8

Approximating cellular maps by homeomorphisms

L. C. Siebenmann · Topology · 1972 · 188 citations

, , +4

Equivariant homotopy theory and Milnor’s theorem

Stefan Waner · Transactions of the American Mathematical Society · 1980 · 54 citations · Full text

, , +16

Cellular cochain algebras and torus actions

Ilia V. Baskakov, Taras Panov · Russian Mathematical Surveys · 2004 · 47 citations

, , +13

Approximating cellular maps between low-dimensional polyhedra

James Henderson · Pacific Journal of Mathematics · 1982 · 19 citations · Full text

, , +8

Cellular-compact spaces and their applications

Vladimir V. Tkachuk, Richard G. Wilson · Acta Mathematica Academiae Scientiarum Hungaricae · 2019 · 18 citations

, , +4

1–5 of 8

Authors

17

  1. SW
    Stefan Waner

    Hofstra University, United States

    1 publications · 54 citations

    1

    h-index

  2. MI
    Michele Intermont

    University of Notre Dame, United States

    1 publications · 12 citations

    1

    h-index

  3. WG
    W. G. Dwyer

    University of Notre Dame, United States

    1 publications · 12 citations

    1

    h-index

  4. JH
    James Henderson

    University of Michigan, United States

    1 publications · 19 citations

    1

    h-index

  5. TT
    T. Tani

    Tokyo University of Science, Japan

    1 publications · 11 citations

    1

    h-index

1–5 of 17

Institutions

8

  1. Universidad Autónoma Metropolitana

    Mexico City, Mexico

    1 h-index

    2 publications

    36 citations

  2. Laboratoire de Mathématiques d'Orsay

    Orsay, France

    1 h-index

    1 publications

    188 citations

  3. Ebara (Japan)

    Tokyo, Japan

    1 h-index

    1 publications

    19 citations

  4. Tokyo University of Science

    Tokyo, Japan

    1 h-index

    6 publications

    66 citations

  5. Lomonosov Moscow State University

    Moscow, Russia

    1 h-index

    2 publications

    94 citations

  6. Kalamazoo College

    Kalamazoo, United States

    1 h-index

    1 publications

    12 citations

  7. Yale University

    New Haven, United States

    1 h-index

    1 publications

    12 citations

  8. University of Notre Dame

    Notre Dame, United States

    1 h-index

    1 publications

    12 citations

1–8 of 8

Venues

  1. Pacific Journal of Mathematics

    1 publications · 19 citations

    1

    h-index

  2. 1

    h-index

  3. Topology

    1 publications · 188 citations

    1

    h-index

  4. Journal of the London Mathematical Society

    1 publications · 12 citations

    1

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 1 publications · 54 citations

    1

    h-index

1–5