• Thumbnail for Kuratowski's theorem
    graph theory, Kuratowski's theorem is a mathematical forbidden graph characterization of planar graphs, named after Kazimierz Kuratowski. It states that...
    9 KB (1,074 words) - 14:25, 7 November 2023
  • Thumbnail for Kazimierz Kuratowski
    bearing Kuratowski's name include Kuratowski's theorem, Kuratowski closure axioms, Kuratowski-Zorn lemma and Kuratowski's intersection theorem. Kazimierz...
    16 KB (1,786 words) - 21:29, 18 June 2024
  • mathematician Kazimierz Kuratowski provided a characterization of planar graphs in terms of forbidden graphs, now known as Kuratowski's theorem: A finite graph...
    35 KB (4,471 words) - 04:49, 30 April 2024
  • In mathematics, Kuratowski's intersection theorem is a result in general topology that gives a sufficient condition for a nested sequence of sets to have...
    3 KB (377 words) - 02:44, 9 February 2023
  • Thumbnail for Wagner's theorem
    same two forbidden graphs K5 and K3,3. In a sense, Kuratowski's theorem is stronger than Wagner's theorem: a subdivision can be converted into a minor of...
    8 KB (939 words) - 09:38, 2 June 2023
  • mathematics, the Kuratowski–Ulam theorem, introduced by Kazimierz Kuratowski and Stanislaw Ulam (1932), called also the Fubini theorem for category, is...
    3 KB (298 words) - 05:00, 20 September 2021
  • Kuratowski's free set theorem, named after Kazimierz Kuratowski, is a result of set theory, an area of mathematics. It is a result which has been largely...
    2 KB (332 words) - 06:22, 4 March 2024
  • the inverse mapping is also measurable). This follows from Souslin's theorem, as a set that is both analytic and coanalytic is necessarily Borel. If...
    3 KB (423 words) - 07:18, 27 May 2024
  • Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer. It states that for any continuous function f...
    61 KB (8,376 words) - 00:56, 20 June 2024
  • space if it is Borel-isomorphic to a Borel subset of a Polish space. Kuratowski's theorem then states that two standard Borel spaces X and Y are Borel-isomorphic...
    3 KB (317 words) - 07:52, 2 December 2023