Kazimierz Kuratowski (Polish pronunciation: [kaˈʑimjɛʂ kuraˈtɔfskʲi]; 2 February 1896 – 18 June 1980) was a Polish mathematician and logician. He was one...

graph theory, Kuratowski's theorem is a mathematical forbidden graph characterization of planar graphs, named after Kazimierz Kuratowski. It states that...

commonly used open set definition. They were first formalized by Kazimierz Kuratowski, and the idea was further studied by mathematicians such as Wacław...

element. The lemma was proved (assuming the axiom of choice) by Kazimierz Kuratowski in 1922 and independently by Max Zorn in 1935. It occurs in the proofs...

named after Kazimierz Kuratowski, a 20th-century Polish mathematician and logician associated with the Warsaw School of Mathematics: Kuratowski's theorem...

Institute, where he earned his PhD in 1933 under the supervision of Kazimierz Kuratowski and Włodzimierz Stożek. In 1935, John von Neumann, whom Ulam had...

concept was popularized in texts by Felix Hausdorff and Kazimierz Kuratowski. Intuitively, the Kuratowski limit of a sequence of sets is where the sets "accumulate"...

and 2 are two distinct objects different from a and b." In 1921 Kazimierz Kuratowski offered the now-accepted definition of the ordered pair (a, b): (...

selection function. It is named after the Polish mathematicians Kazimierz Kuratowski and Czesław Ryll-Nardzewski. Many classical selection results follow...

mathematician Kazimierz Kuratowski provided a characterization of planar graphs in terms of forbidden graphs, now known as Kuratowski's theorem: A finite...

of 30. It is named in honour of Polish mathematician and logician Kazimierz Kuratowski (1896–1980). The prize was established in 1981 on the initiative...

ordered sets amongst others. Zorn's lemma was first postulated by Kazimierz Kuratowski in 1922, and then independently by Zorn in 1935. Zorn was born in...

of mathematics, the Knaster–Kuratowski fan (named after Polish mathematicians Bronisław Knaster and Kazimierz Kuratowski) is a specific connected topological...

these mathematicians were documented in 1980 by their contemporary, Kazimierz Kuratowski in his book A Half Century of Polish Mathematics: Remembrances and...

This result was first published by Kazimierz Kuratowski in 1922. It gained additional exposure in Kuratowski's fundamental monograph Topologie (first...

mathematics, the Kuratowski embedding allows one to view any metric space as a subset of some Banach space. It is named after Kazimierz Kuratowski. The statement...

mathematician Kazimierz Kuratowski, who proved it in 1930. Let (X, d) be a complete metric space. Given a subset A ⊆ X, its Kuratowski measure of non-compactness...

Kazimierz Kuratowski, Polish mathematician and logician, one of the leading representatives of the Warsaw School of Mathematics Kazimierz Kutz, Polish...

of those natural numbers less than some specific natural number. (Kazimierz Kuratowski) S {\displaystyle S} has all properties which can be proved by mathematical...

with Zygmunt Janiszewski, Stefan Mazurkiewicz, Wacław Sierpiński, Kazimierz Kuratowski, and Stanisław Saks. During World War II, Zarankiewicz took part...

is a slight generalization of Hausdorff spaces, given in 1922 by Kazimierz Kuratowski. Modern topology depends strongly on the ideas of set theory, developed...

editors-in-chief. Soon after its launch, the founding editors were joined by Kazimierz Kuratowski and, later, by Karol Borsuk. The journal is abstracted and indexed...

In mathematics, the Kuratowski–Ulam theorem, introduced by Kazimierz Kuratowski and Stanislaw Ulam (1932), called also the Fubini theorem for category...

Topological Applications of Maps onto a Circle; his thesis advisors were Kazimierz Kuratowski and Karol Borsuk. He died in New York City in January 1998. Eilenberg's...

1945, he completed a project in collaboration with Karol Borsuk and Kazimierz Kuratowski concerning the establishment of the Institute of Mathematics of the...

Tatarkiewicz, Zarys..., p. 32. Kazimierz Kuratowski, A Half Century of Polish Mathematics, pp. 23–24, 33. Kazimierz Kuratowski, A Half Century of Polish Mathematics...

the Warsaw School of Mathematics have included: Wacław Sierpiński Kazimierz Kuratowski Edward Marczewski Bronisław Knaster Zygmunt Janiszewski Stefan Mazurkiewicz...

Tatarkiewicz, Zarys..., p. 32. Kazimierz Kuratowski, A Half Century of Polish Mathematics, pp. 23–24, 33. Kazimierz Kuratowski, A Half Century of Polish Mathematics...

other sources state that the notation honors the contributions of Kazimierz Kuratowski to graph theory. Kn has n(n – 1)/2 edges (a triangular number), and...

hierarchy. The algorithm is named after Alfred Tarski and Kazimierz Kuratowski. The Tarski–Kuratowski algorithm for the arithmetical hierarchy consists of...