• mathematics, the KuratowskiUlam 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
  • Thumbnail for Kazimierz Kuratowski
    bearing Kuratowski's name include Kuratowski's theorem, Kuratowski closure axioms, Kuratowski-Zorn lemma and Kuratowski's intersection theorem. Kazimierz...
    17 KB (1,809 words) - 11:28, 13 April 2025
  • Thumbnail for Borsuk–Ulam theorem
    In mathematics, the Borsuk–Ulam theorem states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points...
    15 KB (2,497 words) - 19:13, 14 May 2025
  • of dimension and the Borsuk–Ulam theorem. This gives it a place among the fundamental theorems of topology. The theorem is also used for proving deep...
    61 KB (8,516 words) - 04:02, 21 May 2025
  • Thumbnail for Stanisław Ulam
    1933 under the supervision of Kazimierz Kuratowski and Włodzimierz Stożek. In 1935, John von Neumann, whom Ulam had met in Warsaw, invited him to come...
    87 KB (8,132 words) - 16:41, 24 May 2025
  • for distributions, that is, generalized functions KuratowskiUlam theorem – analog of Fubini's theorem for arbitrary second countable Baire spaces Symmetry...
    41 KB (7,862 words) - 10:10, 5 May 2025
  • The Knaster–Kuratowski–Mazurkiewicz lemma is a basic result in mathematical fixed-point theory published in 1929 by Knaster, Kuratowski and Mazurkiewicz...
    15 KB (2,396 words) - 16:09, 27 May 2025
  • Thumbnail for Intermediate value theorem
    v0, fi(x)>0 for at least one i in 1,...,n. The theorem can be proved based on the Knaster–Kuratowski–Mazurkiewicz lemma. In can be used for approximations...
    26 KB (4,360 words) - 15:59, 25 May 2025
  • Borsuk–Ulam theorem Erdős–Ulam problem Fermi–Pasta–Ulam–Tsingou problem Hyers–Ulam–Rassias stability KuratowskiUlam theorem Mazur–Ulam theorem Ulam's conjecture...
    1,003 bytes (92 words) - 18:45, 21 March 2022
  • Kuratowski embedding Kuratowski-Ulam theorem Kuratowski-finite Kuratowski and Ryll-Nardzewski measurable selection theorem Knaster–Kuratowski–Mazurkiewicz lemma...
    894 bytes (83 words) - 19:11, 22 November 2024
  • Banach (1930). Banach & Kuratowski (1929) showed that the continuum hypothesis implies that 𝔠 is not real-valued measurable. Stanislaw Ulam (1930) showed (see...
    15 KB (1,774 words) - 14:30, 10 July 2024
  • Kövari–Sós–Turán theorem (graph theory) Kruskal–Katona theorem (combinatorics) Kuratowski's theorem (graph theory) Lambek–Moser theorem (combinatorics)...
    78 KB (6,293 words) - 12:16, 2 May 2025
  • Thumbnail for Tucker's lemma
    Tucker's lemma (category Fixed-point theorems)
    mathematics, Tucker's lemma is a combinatorial analog of the Borsuk–Ulam theorem, named after Albert W. Tucker. Let T be a triangulation of the closed...
    6 KB (869 words) - 13:05, 27 February 2024
  • In mathematics, the Lusternik–Schnirelmann theorem, aka Lusternik–Schnirelmann–Borsuk theorem or LSB theorem, says as follows. If the sphere Sn is covered...
    2 KB (255 words) - 21:35, 26 January 2022
  • Thumbnail for Sperner's lemma
    Sperner's lemma (category Fixed-point theorems)
    Knaster–Kuratowski–Mazurkiewicz lemma. In one dimension, Sperner's Lemma can be regarded as a discrete version of the intermediate value theorem. In this...
    30 KB (4,087 words) - 22:28, 28 August 2024
  • Thumbnail for Samuel Eilenberg
    University Press. MR 0050886. Stefan Banach Stanislaw Ulam Eilenberg–Montgomery fixed point theorem "Samuel Eilenberg - Biography". Maths History. Retrieved...
    11 KB (812 words) - 21:43, 15 May 2025
  • Thumbnail for Hugo Steinhaus
    mathematicians associated with the Scottish cafe, although, according to Stanislaw Ulam, for the circle's gatherings, Steinhaus would have generally preferred a...
    25 KB (2,436 words) - 16:28, 28 May 2025
  • develops theorems in cohomology and characteristic classes, 1933 – Karol Borsuk and Stanislaw Ulam present the Borsuk-Ulam antipodal-point theorem, 1955...
    12 KB (1,393 words) - 17:17, 2 May 2025
  • the minimax theorem. 1929 – Emmy Noether introduces the first general representation theory of groups and algebras. 1930 – Casimir Kuratowski shows that...
    65 KB (7,870 words) - 18:00, 31 May 2025
  • Thumbnail for Karol Borsuk
    concepts that bear Borsuk's name include Borsuk's conjecture, Borsuk–Ulam theorem and Bing–Borsuk conjecture. In 1936, he married Zofia Paczkowska. One...
    11 KB (1,032 words) - 06:20, 23 May 2025
  • Thumbnail for Timeline of Polish science and technology
    Banach, Hugo Steinhaus, Stanisław Ulam) and Warsaw School of Mathematics (with Alfred Tarski, Kazimierz Kuratowski, Wacław Sierpiński). The events of...
    124 KB (12,386 words) - 12:53, 23 May 2025
  • consists roughly of the predicative parts of set theory Kuratowski 1.  Kazimierz Kuratowski 2.  A Kuratowski ordered pair is a definition of an ordered pair using...
    91 KB (11,628 words) - 12:22, 21 March 2025
  • games have been introduced over the years, to study, among others: the Kuratowski coreduction principle; separation and reduction properties of sets in...
    10 KB (1,443 words) - 17:56, 24 May 2025