Concepedia

Stone Representation Theorem

The Stone Representation Theorem is a fundamental result in Boolean algebra that establishes a duality between the category of Boolean algebras and the category of Stone spaces, by representing every Boolean algebra as the algebra of clopen subsets of a compact, totally disconnected Hausdorff space.

100

Publications

3K

Citations

138

Authors

94

Institutions

Publications per year

2017–2026

2

Variants

Stone's Representation Theorem

Parents

Publications

100

A Stone-Weierstrass Theorem for C∗-Algebras

James Glimm · Annals of Mathematics · 1960 · 181 citations

, , +8

A theorem of Stone and von Neumann

George W. Mackey · Duke Mathematical Journal · 1949 · 176 citations

, , +4

Stone-type theorem on b-metric spaces and applications

Tran Van An, Luong Quoc Tuyen, Nguyen Van Dũng · Topology and its Applications · 2015 · 91 citations

, , +8

Lindelöf locales and realcompactness

James J. Madden, Johannes Vermeer · Mathematical Proceedings of the Cambridge Philosophical Society · 1986 · 82 citations

, , +9

Stone-Algebra-Valued Measures and Integrals

John D. Wright · Proceedings of the London Mathematical Society · 1969 · 78 citations

, , +7

1–5 of 100

Authors

138

  1. MC
    Michael Cambern

    University of California, Santa Barbara, United States

    3 publications · 79 citations

    3

    h-index

  2. EB
    Ehrhard Behrends

    Freie Universität Berlin, Germany

    3 publications · 49 citations

    3

    h-index

  3. GG
    George Grätzer

    University of Manitoba, Canada

    2 publications · 80 citations

    2

    h-index

  4. RJ
    Richard J. Thompson

    University of Tennessee at Knoxville, United States

    2 publications · 81 citations

    2

    h-index

  5. EM
    Elói Medina Galego

    Universidade de São Paulo, Brazil

    2 publications · 39 citations

    2

    h-index

1–5 of 138

Institutions

94

  1. Université Paris Cité

    Paris, France

    3 h-index

    3 publications

    78 citations

  2. Universidade de São Paulo

    São Paulo, Brazil

    2 h-index

    5 publications

    98 citations

  3. University of California, Berkeley

    Berkeley, United States

    2 h-index

    2 publications

    39 citations

  4. University of Ljubljana

    Ljubljana, Slovenia

    2 h-index

    2 publications

    41 citations

  5. Czech Academy of Sciences, Institute of Mathematics

    Prague, Czechia

    2 h-index

    3 publications

    71 citations

  6. New Mexico State University

    Las Cruces, United States

    2 h-index

    3 publications

    58 citations

  7. University of California, Santa Barbara

    Santa Barbara, United States

    2 h-index

    2 publications

    36 citations

  8. University of Illinois Urbana-Champaign

    Urbana, United States

    2 h-index

    2 publications

    44 citations

1–8 of 94

Venues

  1. Algebra Universalis

    8 publications · 192 citations

    8

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 7 publications · 156 citations

    7

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 7 publications · 245 citations

    7

    h-index

  4. Pacific Journal of Mathematics

    6 publications · 210 citations

    6

    h-index

  5. Studia Mathematica

    4 publications · 69 citations

    4

    h-index

1–5