Concepedia

Hartogs' Theorem

Hartogs' Theorem is a foundational result in axiomatic set theory that establishes, for any set \( X \), the existence of a least ordinal that cannot be injected into \( X \), thereby providing a means to construct an upper bound on the cardinality of sets without assuming the Axiom of Choice.

26

Publications

580

Citations

33

Authors

23

Institutions

Publications per year

2017–2026

2

Variants

Hartogs's Theorem

Parents

Publications

26

The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>k</mml:mi></mml:math>-Cauchy–Fueter complex, Penrose transformation and Hartogs phenomenon for quaternionic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>k</mml:mi></mml:math>-regular functions

Wei Wang · Journal of Geometry and Physics · 2009 · 74 citations

, , +8

A new proof and an extension of Hartog’s theorem

Leon Ehrenpreis · Bulletin of the American Mathematical Society · 1961 · 67 citations · Full text

, , +4

The Hartogs-type extension theorem for meromorphic maps into compact K�hler manifolds

S. Ivashkovich · Inventiones mathematicae · 1992 · 58 citations

, , +11

On non-homogeneous Cauchy–Fueter equations and Hartogs’ phenomenon in several quaternionic variables

Wei Wang · Journal of Geometry and Physics · 2008 · 39 citations

, , +10

A Hartogs Type Extension Theorem for Coherent Analytic Sheaves

Yum-Tong Siu · Annals of Mathematics · 1971 · 31 citations

, , +7

1–5 of 26

Authors

33

  1. SI
    S. Ivashkovich

    Ruhr University Bochum, Germany

    2 publications · 75 citations

    2

    h-index

  2. GR
    Guangbin Ren

    University of Science and Technology of China, China

    2 publications · 23 citations

    2

    h-index

  3. AS
    A. Semenov

    Heidelberg University, Germany

    1 publications · 15 citations

    1

    h-index

  4. LE
    Leon Ehrenpreis

    Temple University, United States

    1 publications · 67 citations

    1

    h-index

  5. EP
    Egmont Porten

    Laboratoire de Mathématiques d'Orsay, France

    1 publications · 19 citations

    1

    h-index

1–5 of 33

Institutions

23

  1. Zhejiang University

    Hangzhou, China

    3 h-index

    3 publications

    126 citations

  2. Steklov Mathematical Institute

    Moscow, Russia

    2 h-index

    2 publications

    73 citations

  3. University of Science and Technology of China

    Hefei, China

    2 h-index

    4 publications

    46 citations

  4. Max Planck Society

    Munich, Germany

    1 h-index

    1 publications

    12 citations

  5. University of Oslo

    Oslo, Norway

    1 h-index

    1 publications

    13 citations

  6. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    1 h-index

    1 publications

    14 citations

  7. Wuhan University

    Wuhan, China

    1 h-index

    1 publications

    18 citations

  8. Zhejiang University of Science and Technology

    Hangzhou, China

    1 h-index

    1 publications

    13 citations

1–8 of 23

Venues

  1. International Journal of Mathematics

    3 publications · 37 citations

    3

    h-index

  2. Journal of Geometric Analysis

    2 publications · 32 citations

    2

    h-index

  3. Journal of Geometry and Physics

    2 publications · 113 citations

    2

    h-index

  4. Annales Polonici Mathematici

    2 publications · 27 citations

    2

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 1 publications · 17 citations

    1

    h-index

1–5