Concepedia

Mayer-vietoris Sequence

The Mayer-Vietoris Sequence is a long exact sequence in algebraic topology that relates the homology or cohomology groups of a topological space to those of two overlapping subspaces and their intersection, providing a computational tool for decomposing spaces into simpler parts.

102

Publications

4.2K

Citations

127

Authors

85

Institutions

Publications per year

2017–2026

4

Parents

Publications

102

Algebraic topology: a first course

Choice Reviews Online · 1996 · 249 citations

, , +12

Algebraic Topology: A First Course.

William S. Massey, William Fulton · American Mathematical Monthly · 1996 · 162 citations

, , +11

Algebraic topology: A first course

Philip Dixon · Endeavour · 1982 · 158 citations

, , +12

A coarse Mayer–Vietoris principle

Nigel Higson, John Roe, Guoliang Yu · Mathematical Proceedings of the Cambridge Philosophical Society · 1993 · 151 citations

, , +12

Cyclic homology and algebraic K-theory of spaces—II

Dan Burghelea, Zbigniew Fiedorowicz · Topology · 1986 · 123 citations

, , +14

1–5 of 102

Authors

127

  1. WS
    William S. Massey

    Yale University, United States

    4 publications · 314 citations

    4

    h-index

  2. PJ
    P. J. Hilton

    Cornell University, United States

    2 publications · 142 citations

    2

    h-index

  3. WF
    William Fulton

    University of Michigan, United States

    2 publications · 207 citations

    2

    h-index

  4. ST
    Stephen T. Smale

    University of California, Los Angeles, United States

    2 publications · 166 citations

    2

    h-index

  5. PS
    Paul Siegel

    2 publications · 23 citations

    2

    h-index

1–5 of 127

Institutions

85

  1. Massachusetts Institute of Technology

    Cambridge, United States

    3 h-index

    3 publications

    131 citations

  2. University of Michigan

    Ann Arbor, United States

    3 h-index

    4 publications

    239 citations

  3. The Ohio State University

    Columbus, United States

    3 h-index

    4 publications

    274 citations

  4. University of California, Berkeley

    Berkeley, United States

    3 h-index

    4 publications

    359 citations

  5. Columbia University

    New York, United States

    2 h-index

    2 publications

    112 citations

  6. Ludwig-Maximilians-Universität München

    Munich, Germany

    2 h-index

    3 publications

    300 citations

  7. San Francisco State University

    San Francisco, United States

    2 h-index

    2 publications

    207 citations

  8. California University of Pennsylvania

    California, United States

    2 h-index

    3 publications

    126 citations

1–8 of 85

Venues

  1. Proceedings of the American Mathematical Society

    PROC · 7 publications · 241 citations

    7

    h-index

  2. Journal of Pure and Applied Algebra

    5 publications · 94 citations

    5

    h-index

  3. Annals of Mathematics

    5 publications · 341 citations

    5

    h-index

  4. Journal of Algebra

    4 publications · 145 citations

    4

    h-index

  5. arXiv (Cornell University)

    Repository · 4 publications · 61 citations

    4

    h-index

1–5