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Polish mathematician whose work was mainly in topology and metric spaces.
Pioneered, with Alfred Tarski and Wacław Franciszek Sierpiński, the theory of Polish spaces.
- Born: 2 Feb 1896, Warsaw, Russian Empire (now Poland)
- Died: 18 June 1980, Warsaw, Poland
Theorems and Definitions
- Kuratowski Closure Axioms
- Kuratowski's Closure-Complement Problem
- Kuratowski Convergence of subsets of metric spaces
- Kuratowski's Free Set Theorem
- Kuratowski's Lemma, also known as Kuratowski's Maximal Principle
- Kuratowski Principles, also known as Maximal Principles or Hausdorff Principles (for Felix Hausdorff)
- Kuratowski's Theorem, also known as the Pontryagin-Kuratowski Theorem (independently of Lev Semenovich Pontryagin)
- Kuratowski-Ulam Theorem (with Stanisław Marcin Ulam)
- Kuratowski-Zorn Lemma, also known as Zorn's Lemma (independently of Max August Zorn)
- Tarski-Kuratowski Algorithm (with Alfred Tarski)
- Knaster-Kuratowski Fan (with Bronisław Knaster)
- Painlevé-Kuratowski Convergence (with Paul Painlevé)
Results named for Kazimierz Kuratowski can be found here.
Definitions of concepts named for Kazimierz Kuratowski can be found here.
- 1917: On the definitions in mathematics
- 1920: Sur les continus indécomposable (with Zygmunt Janiszewski)
- 1922: Une méthode d'élimination des nombres transfinis des raisonnements mathématiques (Fund. Math. Vol. 3: pp. 76 – 108) (in which Kuratowski's Lemma is presented)
- 1922: Sur l'operation A de l'Analysis Situs (Fundamenta Mathematicae Vol. 3: pp. 182 – 199) (in which Kuratowski's Closure-Complement Problem is presented)
- 1930: Sur le problème des courbes gauches en topologie
- 1948: Topologie I, Espaces Métrisables, Espaces Complets (Topology I: Metric Spaces, Complete Spaces)
- 1950: Topologie II, Espaces Compacts, Espaces Connexes, Plan Euclidien (Topology II: Compact Spaces, Connected Spaces, Euclidean Space)
- 1966: Introduction to Set Theory and Topology
Also known as
His first name is sometimes Westernised as Casimir.