Concepedia

Topological Convergence

Topological Convergence is a fundamental concept in point-set topology that refers to the property of a sequence of points in a topological space approaching a limit point, characterized by the condition that every open neighborhood of the limit contains all but finitely many terms of the sequence.

88

Publications

4.3K

Citations

116

Authors

69

Institutions

Publications per year

2017–2026

7

Variants

Convergence In Topological Spaces

Parents

Publications

88

Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence

Pu Pao-Ming, Liu Ying-ming · Journal of Mathematical Analysis and Applications · 1980 · 991 citations

, , +12

Convergence in fuzzy topological spaces

R. Löwen · General Topology and its Applications · 1979 · 218 citations

, , +8

$I$ and $I^*$-convergence in topological spaces

B. K. Lahiri, Pratulananda Das · Mathematica Bohemica · 2005 · 164 citations · Full text

, , +4

The topology of compact convergence on continuous function spaces

Seth Warner · Duke Mathematical Journal · 1958 · 143 citations

, , +9

Moore-Smith Convergence in General Topology

Garrett Birkhoff · Annals of Mathematics · 1937 · 122 citations

, , +6

1–5 of 88

Authors

116

  1. GB
    Gerald Beer

    California State University Los Angeles, United States

    6 publications · 234 citations

    6

    h-index

  2. PD
    Pratulananda Das

    Jadavpur University, India

    5 publications · 307 citations

    5

    h-index

  3. GJ
    Gunther Jäger

    Rhodes University, South Africa

    4 publications · 120 citations

    4

    h-index

  4. RL
    R. Löwen

    University of Antwerp, Belgium

    3 publications · 326 citations

    3

    h-index

  5. ME
    Marcel Erné

    Leibniz University Hannover, Germany

    2 publications · 36 citations

    2

    h-index

1–5 of 116

Institutions

69

  1. California State University Los Angeles

    Los Angeles, United States

    6 h-index

    6 publications

    234 citations

  2. Jadavpur University

    Kolkata, India

    4 h-index

    4 publications

    143 citations

  3. Beijing Institute of Technology

    Beijing, China

    2 h-index

    2 publications

    29 citations

  4. Vrije Universiteit Brussel

    Brussels, Belgium

    2 h-index

    2 publications

    298 citations

  5. Sichuan University

    Chengdu, China

    2 h-index

    3 publications

    2K citations

  6. Ningde Normal University

    Ningde, China

    2 h-index

    4 publications

    99 citations

  7. Liaocheng University

    Liaocheng, China

    2 h-index

    6 publications

    148 citations

  8. Rhodes University

    Grahamstown, South Africa

    2 h-index

    2 publications

    87 citations

1–8 of 69

Venues

  1. Fuzzy Sets and Systems

    9 publications · 344 citations

    9

    h-index

  2. Pacific Journal of Mathematics

    8 publications · 265 citations

    8

    h-index

  3. Topology and its Applications

    4 publications · 117 citations

    4

    h-index

  4. Mathematica Bohemica

    3 publications · 212 citations

    3

    h-index

  5. Rocky Mountain Journal of Mathematics

    3 publications · 73 citations

    3

    h-index

1–5