Concepedia

Second Countability Axiom

The "Second Countability Axiom" is a topological axiom asserting that a topological space has a countable basis, thereby distinguishing it from more general spaces by ensuring the existence of a countable collection of open sets such that every open set can be expressed as a union of elements from this collection.

15

Publications

689

Citations

20

Authors

8

Institutions

Publications per year

2017–2026

2

Variants

Second Axiom Of Countability

Parents

Publications

15

The Theory of Topological Commutative Groups

L. Pontrjagin · Annals of Mathematics · 1934 · 195 citations

, , +8

Principal fibre bundles with the $1$-dimensional toroidal group

Shôshichi Kobayashi · Tohoku Mathematical Journal · 1956 · 138 citations

, , +11

Soft Open Bases and a Novel Construction of Soft Topologies from Bases for Topologies

José Carlos R. Alcantud · Mathematics · 2020 · 76 citations · Full text

, , +8

Almost everywhere convergence of Vilenkin-Fourier series

John Gosselin · Transactions of the American Mathematical Society · 1973 · 61 citations

, , +13

The geometry of immersions. I

Edgar Feldman · Transactions of the American Mathematical Society · 1965 · 59 citations · Full text

, , +12

1–5 of 15

Authors

20

  1. EF
    Edgar Feldman

    City University of New York, United States

    2 publications · 75 citations

    2

    h-index

  2. JG
    John Gosselin

    University of Georgia, United States

    2 publications · 75 citations

    2

    h-index

  3. AA
    A. Ayupov

    University of Bonn, Germany

    1 publications · 15 citations

    1

    h-index

  4. LZ
    Leo Zippin

    Institute for Advanced Study, United States

    1 publications · 12 citations

    1

    h-index

  5. RG
    Robert Gilmer

    Florida State University, United States

    1 publications · 11 citations

    1

    h-index

1–5 of 20

Institutions

8

  1. Purdue University West Lafayette

    West Lafayette, United States

    1 h-index

    3 publications

    33 citations

  2. Florida State University

    Tallahassee, United States

    1 h-index

    3 publications

    33 citations

  3. University of Washington

    Seattle, United States

    1 h-index

    1 publications

    138 citations

  4. Virginia Tech

    Blacksburg, United States

    1 h-index

    3 publications

    33 citations

  5. Tata Institute of Fundamental Research

    Mumbai, India

    1 h-index

    1 publications

    10 citations

  6. Universidad de Salamanca

    Salamanca, Spain

    1 h-index

    1 publications

    76 citations

  7. State University of Novi Pazar

    Novi Pazar, Serbia

    1 h-index

    1 publications

    15 citations

  8. National Institute of Technology Durgapur

    Durgapur, India

    1 h-index

    3 publications

    45 citations

1–8 of 8

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 4 publications · 150 citations

    4

    h-index

  2. American Journal of Mathematics

    1 publications · 10 citations

    1

    h-index

  3. Illinois Journal of Mathematics

    IJM · 1 publications · 11 citations

    1

    h-index

  4. Pacific Journal of Mathematics

    1 publications · 28 citations

    1

    h-index

  5. Duke Mathematical Journal

    DMJ · 1 publications · 29 citations

    1

    h-index

1–5