Concepedia

Stone's Theorem

Stone's Theorem is a fundamental result in general topology, specifically a characterization of the paracompactness of metric spaces, which asserts that every metric space is paracompact, thereby belonging to the class of topological spaces with a refinement property for open covers that distinguishes it by guaranteeing the existence of locally finite open refinements.

225

Publications

11.4K

Citations

293

Authors

159

Institutions

Publications per year

2017–2026

15

Variants

Stone's Theorem On Paracompactness

Parents

Publications

225

Fuzzy basis functions, universal approximation, and orthogonal least-squares learning

L.-X. Wang, Jerry M. Mendel · IEEE Transactions on Neural Networks · 1992 · 2.8K citations

, , +14

Fuzzy systems are universal approximators

L.-X. Wang · 2003 · 1.1K citations

, , +14

The Stone-Weierstrass theorem and its application to neural networks

N.E. Cotter · IEEE Transactions on Neural Networks · 1990 · 401 citations

, , +11

Independent sets in hypergraphs

József Balogh, Robert Morris, Wojciech Samotij · Journal of the American Mathematical Society · 2014 · 342 citations · Full text

, , +14

A Stone-Weierstrass Theorem for C∗-Algebras

James Glimm · Annals of Mathematics · 1960 · 181 citations

, , +8

1–5 of 225

Authors

293

  1. BB
    Bernhard Banaschewski

    McMaster University, Canada

    5 publications · 185 citations

    5

    h-index

  2. MC
    Michael Cambern

    University of California, Santa Barbara, United States

    4 publications · 99 citations

    4

    h-index

  3. EB
    Ehrhard Behrends

    Freie Universität Berlin, Germany

    4 publications · 68 citations

    4

    h-index

  4. RM
    R. M. Stephenson

    University of South Carolina, United States

    4 publications · 67 citations

    4

    h-index

  5. EM
    Elói Medina Galego

    Universidade de São Paulo, Brazil

    3 publications · 49 citations

    3

    h-index

1–5 of 293

Institutions

159

  1. University of California, Santa Barbara

    Santa Barbara, United States

    5 h-index

    5 publications

    221 citations

  2. McMaster University

    Hamilton, Canada

    4 h-index

    4 publications

    161 citations

  3. Universidade de São Paulo

    São Paulo, Brazil

    4 h-index

    8 publications

    135 citations

  4. University of Illinois Urbana-Champaign

    Urbana, United States

    4 h-index

    4 publications

    394 citations

  5. Universitat Jaume I

    Castellon, Spain

    3 h-index

    3 publications

    75 citations

  6. Pennsylvania State University

    State College, United States

    3 h-index

    4 publications

    97 citations

  7. Universidad de Extremadura

    Badajoz, Spain

    3 h-index

    3 publications

    88 citations

  8. University of North Carolina at Chapel Hill

    Chapel Hill, United States

    2 h-index

    2 publications

    25 citations

1–8 of 159

Venues

  1. Pacific Journal of Mathematics

    17 publications · 642 citations

    17

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 23 publications · 633 citations

    16

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 17 publications · 681 citations

    14

    h-index

  4. American Mathematical Monthly

    7 publications · 155 citations

    7

    h-index

  5. Canadian Journal of Mathematics

    6 publications · 116 citations

    6

    h-index

1–5