local lemma Nakayama's lemma Poincaré's lemma Riesz's lemma Schur's lemma Schwarz's lemma Sperner's lemma Urysohn's lemma Vitali covering lemma Yoneda's...
4 KB (402 words) - 00:58, 1 September 2024
theorem (to do) Ultrafilter lemma Ultraparallel theorem Urysohn's lemma Van der Waerden's theorem Wilson's theorem Zorn's lemma Bellman–Ford algorithm (to...
6 KB (593 words) - 20:11, 5 June 2023
axiom of choice, in which all sets of real numbers are measurable. Urysohn's lemma (UL) and the Tietze extension theorem (TET) are independent of ZF+ACω:...
10 KB (1,259 words) - 00:20, 24 September 2024
disjoint closed sets can be separated by a continuous function; this is Urysohn's lemma.) X is completely normal, or T5 or completely T4, if it is T1 and if...
42 KB (5,730 words) - 13:52, 26 September 2024
perhaps the single most important result in general topology (along with Urysohn's lemma). The theorem is also valid for topological spaces based on fuzzy sets...
15 KB (2,094 words) - 09:49, 19 July 2024
problems, invented magnetotellurics Pavel Urysohn, developed the metrization theorems, Urysohn's Lemma and Fréchet–Urysohn space in topology Nicolay Vasilyev...
94 KB (9,592 words) - 11:51, 17 August 2024
topology), invented magnetotellurics Pavel Urysohn, developed the metrization theorems, Urysohn's Lemma and Fréchet–Urysohn space in topology Nicolay Vasilyev...
204 KB (22,835 words) - 10:39, 29 September 2024
and physical research. Russian mathematicians Pavel Alexandrov and Pavel Urysohn were the first of several in 1923. Between 1926 and 1930, Alexandrov regularly...
127 KB (14,701 words) - 14:50, 29 September 2024
metrizable spaces (or more generally first-countable spaces or Fréchet–Urysohn spaces), sequences usually suffices to characterize, or "describe", most...
192 KB (30,885 words) - 19:16, 15 September 2024