Concepedia

Excision Theorem

The Excision Theorem is a fundamental result in algebraic topology that, within the category of homology theories, distinguishes itself by asserting that the relative homology groups of a pair (X, A) are isomorphic to those of a subpair (U, A) when the closure of U is contained in the interior of A, thereby enabling the computation of homology by excising negligible subspaces.

31

Publications

996

Citations

38

Authors

24

Institutions

Publications per year

2017–2026

5

Parents

Publications

31

Excision in Cyclic Homology and in Rational Algebraic K-theory

Mariusz Wodzicki · Annals of Mathematics · 1989 · 141 citations

, , +11

Excision in bivariant periodic cyclic cohomology

Joachim Cuntz, Daniel Quillen · Inventiones mathematicae · 1997 · 124 citations

, , +9

The Homotopy Groups of a Triad

A. L. Blakers, William S. Massey · Proceedings of the National Academy of Sciences · 1949 · 60 citations · Full text

, , +12

Homotopical Excision, and Hurewicz Theorems, for <i>n</i>-Cubes of Spaces

Ronald Brown, Jean-Louis Loday · Proceedings of the London Mathematical Society · 1987 · 55 citations

, , +6

THE OBSTRUCTION TO EXCISION IN K-THEORY AND IN CYCLIC HOMOLOGY

2002 · 50 citations · Full text

, , +9

1–5 of 31

Authors

38

  1. MW
    Mariusz Wodzicki

    University of California, Berkeley, United States

    2 publications · 153 citations

    2

    h-index

  2. TV
    Ton Vorst

    Erasmus University Rotterdam, Netherlands

    1 publications · 27 citations

    1

    h-index

  3. NI
    Nick Inassaridze

    Universidade de Santiago de Compostela, Spain

    1 publications · 11 citations

    1

    h-index

  4. ZA
    Zinaida A. Lykova

    Newcastle University, United Kingdom

    1 publications · 11 citations

    1

    h-index

  5. FL
    Finnur Lárusson

    The University of Adelaide, Australia

    1 publications · 25 citations

    1

    h-index

1–5 of 38

Institutions

24

  1. Princeton University

    Princeton, United States

    1 h-index

    2 publications

    120 citations

  2. University of Chicago

    Chicago, United States

    1 h-index

    1 publications

    47 citations

  3. Universidad de Buenos Aires

    Buenos Aires, Argentina

    1 h-index

    1 publications

    33 citations

  4. Bahçeşehir University

    Istanbul, Türkiye

    1 h-index

    1 publications

    19 citations

  5. University of California, Berkeley

    Berkeley, United States

    1 h-index

    1 publications

    12 citations

  6. University of Regensburg

    Regensburg, Germany

    1 h-index

    2 publications

    74 citations

  7. Mathematical Institute of the Slovak Academy of Sciences

    Bratislava, Slovakia

    1 h-index

    1 publications

    124 citations

  8. University of Göttingen

    Göttingen, Germany

    1 h-index

    1 publications

    18 citations

1–8 of 24

Venues

  1. Journal of Pure and Applied Algebra

    3 publications · 75 citations

    3

    h-index

  2. Inventiones mathematicae

    2 publications · 157 citations

    2

    h-index

  3. Duke Mathematical Journal

    DMJ · 2 publications · 66 citations

    2

    h-index

  4. Annals of Mathematics

    2 publications · 178 citations

    2

    h-index

  5. Proceedings of the National Academy of Sciences

    PNAS · 2 publications · 72 citations

    2

    h-index

1–5