Concepedia

Open Mapping Theorem

The Open Mapping Theorem is a fundamental theorem in complex analysis stating that every non-constant holomorphic function on a connected open set in the complex plane maps open sets to open sets.

79

Publications

2.3K

Citations

85

Authors

42

Institutions

Publications per year

2017–2026

3

Variants

Open Mapping Principle

Parents

Publications

79

Completeness and the open mapping theorem

Vlastimil Pták · Bulletin de la Société mathématique de France · 1958 · 153 citations · Full text

, , +10

Normed convex processes

Stephen M. Robinson · Transactions of the American Mathematical Society · 1972 · 135 citations

, , +13

Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps

Jonathan M. Borwein, Deming Zhuang · Journal of Mathematical Analysis and Applications · 1988 · 113 citations

, , +8

Discrete open mappings on manifolds

Jussi Väısälä · Annales Academiae Scientiarum Fennicae Series A I Mathematica · 1967 · 94 citations · Full text

, , +10

An open mapping principle for set-valued maps

Halina Frankowska · Journal of Mathematical Analysis and Applications · 1987 · 80 citations

, , +11

1–5 of 79

Authors

85

  1. PT
    P. T. Church

    Syracuse University, United States

    5 publications · 153 citations

    5

    h-index

  2. EH
    E. Hemmingsen

    2 publications · 63 citations

    2

    h-index

  3. LQ
    Larry Q. Eifler

    Louisiana State University, United States

    2 publications · 71 citations

    2

    h-index

  4. AB
    Albert Baernstein

    Washington University in St. Louis, United States

    2 publications · 39 citations

    2

    h-index

  5. JK
    Jerzy Klamka

    Silesian University of Technology, Poland

    2 publications · 96 citations

    2

    h-index

1–5 of 85

Institutions

42

  1. Dalhousie University

    Halifax, Canada

    2 h-index

    3 publications

    246 citations

  2. Polish Academy of Sciences

    Warsaw, Poland

    2 h-index

    2 publications

    42 citations

  3. University of Florence

    Florence, Italy

    2 h-index

    3 publications

    77 citations

  4. Institute of Mathematics

    Warsaw, Poland

    2 h-index

    2 publications

    42 citations

  5. Institute of Mathematics

    Hanoi, Vietnam

    2 h-index

    2 publications

    42 citations

  6. University of Trento

    Trento, Italy

    2 h-index

    3 publications

    44 citations

  7. University of Udine

    Udine, Italy

    1 h-index

    1 publications

    22 citations

  8. Naval Postgraduate School

    Monterey, United States

    1 h-index

    1 publications

    12 citations

1–8 of 42

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 11 publications · 310 citations

    10

    h-index

  2. Pacific Journal of Mathematics

    9 publications · 335 citations

    9

    h-index

  3. 5

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 4 publications · 87 citations

    4

    h-index

  5. Duke Mathematical Journal

    DMJ · 3 publications · 97 citations

    3

    h-index

1–5