Concepedia

Tychonoff Theorem

Tychonoff Theorem is a fundamental result in topology stating that the product of any collection of compact topological spaces is compact in the product topology, thereby distinguishing it as a cornerstone of general topology through its reliance on the Axiom of Choice.

88

Publications

3.3K

Citations

123

Authors

70

Institutions

Publications per year

2017–2026

3

Parents

Publications

88

Lecture Notes on Elementary Topology and Geometry.

Morris W. Hirsch, I. M. Singer, J. A. Thorpe · American Mathematical Monthly · 1968 · 324 citations

, , +16

The fuzzy tychonoff theorem

Joseph A. Goguen · Journal of Mathematical Analysis and Applications · 1973 · 255 citations

, , +5

A GENERALIZATION OF TYCHONOFFS FIXED POINT THEOREM

Kai Fan · 1961 · 164 citations

, , +3

Initial and final fuzzy topologies and the fuzzy Tychonoff theorem

R. Löwen · Journal of Mathematical Analysis and Applications · 1977 · 154 citations

, , +11

Convex bodies and periodic homeomorphisms in Hilbert space

Victor Klee · Transactions of the American Mathematical Society · 1953 · 141 citations · Full text

, , +13

1–5 of 88

Authors

123

  1. RG
    R. Grant Woods

    University of Manitoba, Canada

    4 publications · 67 citations

    4

    h-index

  2. VV
    Vladimir V. Tkachuk

    Universidad Autónoma Metropolitana, Mexico

    3 publications · 39 citations

    3

    h-index

  3. DS
    Dmitri Shakhmatov

    Ehime University, Japan

    3 publications · 70 citations

    3

    h-index

  4. RG
    Richard G. Wilson

    Universidad Autónoma Metropolitana, Mexico

    3 publications · 39 citations

    3

    h-index

  5. KK
    Kyriakos Keremedis

    University of the Aegean, Greece

    3 publications · 47 citations

    3

    h-index

1–5 of 123

Institutions

70

  1. Lomonosov Moscow State University

    Moscow, Russia

    3 h-index

    3 publications

    71 citations

  2. Shizuoka University

    Shizuoka, Japan

    3 h-index

    3 publications

    50 citations

  3. York University

    Toronto, Canada

    3 h-index

    4 publications

    66 citations

  4. Universidad Autónoma Metropolitana

    Mexico City, Mexico

    3 h-index

    6 publications

    81 citations

  5. University of the Aegean

    Mytilene, Greece

    3 h-index

    4 publications

    61 citations

  6. Ehime University

    Matsuyama, Japan

    2 h-index

    2 publications

    29 citations

  7. University of California, Los Angeles

    Los Angeles, United States

    2 h-index

    2 publications

    302 citations

  8. Pennsylvania State University

    State College, United States

    2 h-index

    3 publications

    67 citations

1–8 of 70

Venues

  1. Proceedings of the American Mathematical Society

    PROC · 14 publications · 254 citations

    12

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 10 publications · 466 citations

    10

    h-index

  3. Topology and its Applications

    6 publications · 145 citations

    6

    h-index

  4. Fundamenta Mathematicae

    5 publications · 360 citations

    5

    h-index

  5. Pacific Journal of Mathematics

    4 publications · 113 citations

    4

    h-index

1–5