Concepedia

Topological Amenability

Topological Amenability is a property of a group action on a topological space whereby the action admits an invariant mean on the space of continuous functions, distinguishing it from general dynamical actions by its intrinsic amenability to averaging under topological constraints.

62

Publications

2.5K

Citations

85

Authors

67

Institutions

Publications per year

2017–2026

4

Parents

Publications

62

Generalized notions of amenability, II

F. Ghahramani, R. J. Loy, Yong Zhang · Journal of Functional Analysis · 2008 · 158 citations

, , +2

Aperiodic tilings, positive scalar curvature, and amenability of spaces

Jonathan Block, Shmuel Weinberger · Journal of the American Mathematical Society · 1992 · 144 citations

, , +11

Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups

Scot Adams · Topology · 1994 · 111 citations

, , +11

Generalized notions of amenability

F. Ghahramani, R. J. Loy · Journal of Functional Analysis · 2003 · 107 citations

, , +2

Cogrowth and amenability of discrete groups

Joel M. Cohen · Journal of Functional Analysis · 1982 · 104 citations

, , +5

1–5 of 62

Authors

85

  1. MN
    Matthias Neufang

    Carleton University, Canada

    3 publications · 70 citations

    3

    h-index

  2. AL
    Anthony Lau

    University of Alberta, Canada

    3 publications · 145 citations

    3

    h-index

  3. JC
    James C. S. Wong

    University of Calgary, Canada

    3 publications · 120 citations

    3

    h-index

  4. FG
    F. Ghahramani

    University of Manitoba, Canada

    3 publications · 288 citations

    3

    h-index

  5. VP
    Vladimir Pestov

    Victoria University of Wellington, New Zealand

    3 publications · 107 citations

    3

    h-index

1–5 of 85

Institutions

67

  1. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    6 publications

    156 citations

  2. University of Alberta

    Edmonton, Canada

    4 h-index

    4 publications

    176 citations

  3. University of Chicago

    Chicago, United States

    3 h-index

    3 publications

    222 citations

  4. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    3 h-index

    4 publications

    128 citations

  5. University of Manitoba

    Winnipeg, Canada

    3 h-index

    4 publications

    446 citations

  6. University of Ottawa

    Ottawa, Canada

    3 h-index

    4 publications

    191 citations

  7. Carleton University

    Ottawa, Canada

    3 h-index

    5 publications

    109 citations

  8. University of Pennsylvania

    Philadelphia, United States

    3 h-index

    3 publications

    200 citations

1–8 of 67

Venues

  1. Journal of Functional Analysis

    9 publications · 529 citations

    9

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 8 publications · 174 citations

    8

    h-index

  3. Mathematische Annalen

    4 publications · 109 citations

    4

    h-index

  4. Pacific Journal of Mathematics

    3 publications · 139 citations

    3

    h-index

  5. Journal of the American Mathematical Society

    JAMS · 2 publications · 183 citations

    2

    h-index

1–5