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There is a page named "Borel's theorem" on Wikipedia
- In real analysis the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states: For a subset S of Euclidean space Rn, the following two statements...14 KB (2,041 words) - 05:57, 25 August 2024
- In topology, a branch of mathematics, Borel's theorem, due to Armand Borel (1953), says the cohomology ring of a classifying space or a classifying stack...1 KB (100 words) - 02:41, 15 August 2023
- lemma Borel's law of large numbers Borel measure Borel–Kolmogorov paradox Borel–Cantelli lemma Borel–Carathéodory theorem Heine–Borel theorem Borel determinacy...13 KB (1,209 words) - 07:48, 21 August 2024
- In mathematics, the Borel–Weil–Bott theorem is a basic result in the representation theory of Lie groups, showing how a family of representations can...13 KB (1,903 words) - 10:40, 23 July 2024
- In mathematics, the Borel–Carathéodory theorem in complex analysis shows that an analytic function may be bounded by its real part. It is an application...9 KB (1,867 words) - 05:57, 5 April 2024
- In descriptive set theory, the Borel determinacy theorem states that any Gale–Stewart game whose payoff set is a Borel set is determined, meaning that...14 KB (2,018 words) - 13:03, 10 January 2024
- In mathematics, Borel's lemma, named after Émile Borel, is an important result used in the theory of asymptotic expansions and partial differential equations...3 KB (491 words) - 15:51, 7 August 2021
- Borel (1895), and it was generalized to arbitrary collections of intervals by Pierre Cousin (1895) and Henri Lebesgue (1904). The Heine–Borel theorem...45 KB (5,681 words) - 09:54, 31 July 2024
- Borel fixed-point theorem is a fixed-point theorem in algebraic geometry generalizing the Lie–Kolchin theorem. The result was proved by Armand Borel (1956)...2 KB (222 words) - 23:15, 12 August 2023
- as Taylor series of infinitely differentiable functions. In fact, Borel's theorem implies that every power series is the Taylor series of some smooth...19 KB (3,359 words) - 20:17, 18 March 2024
- as the intermediate value theorem, the Bolzano–Weierstrass theorem, the extreme value theorem, and the Heine–Borel theorem. It is usually taken as an...12 KB (1,470 words) - 20:02, 7 December 2023
- {\displaystyle A_{n}(z)=\sum _{k=0}^{n}a_{k}z^{k}.} A weak form of Borel's summation method defines the Borel sum of A to be lim t → ∞ e − t ∑ n = 0 ∞ t n n ! A n (...22 KB (3,511 words) - 22:49, 18 March 2024
- theory, the Borel–Cantelli lemma is a theorem about sequences of events. In general, it is a result in measure theory. It is named after Émile Borel and Francesco...11 KB (1,815 words) - 03:34, 29 July 2024
- In mathematics, specifically in real analysis, the Bolzano–Weierstrass theorem, named after Bernard Bolzano and Karl Weierstrass, is a fundamental result...12 KB (2,083 words) - 14:14, 24 August 2024
- Then X as a Borel space is isomorphic to one of R, Z, a finite space. (This result is reminiscent of Maharam's theorem.) Considered as Borel spaces, the...13 KB (1,793 words) - 02:48, 4 June 2024
- analysis, the Borel graph theorem is generalization of the closed graph theorem that was proven by L. Schwartz. The Borel graph theorem shows that the...3 KB (482 words) - 21:20, 20 April 2023
- the Borel measure described above). This idea extends to finite-dimensional spaces R n {\displaystyle \mathbb {R} ^{n}} (the Cramér–Wold theorem, below)...10 KB (1,239 words) - 17:28, 29 January 2024
- Diophantine approximation (redirect from Lagrange's approximation theorem)they have the same Markov constant. As said above, the constant in Borel's theorem may not be improved, as shown by Adolf Hurwitz in 1891. Let ϕ = 1 +...30 KB (4,055 words) - 16:38, 18 July 2024
- In mathematics, the Baily–Borel compactification is a compactification of a quotient of a Hermitian symmetric space by an arithmetic group, introduced...2 KB (155 words) - 16:59, 3 November 2023
- The infinite monkey theorem states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type...50 KB (6,674 words) - 12:48, 8 August 2024
- article on: Heine-Borel theorem Wikipedia Named after the German mathematician Eduard Heine (1821–1881) and the French mathematician Émile Borel (1871–1956)
- Hermite, one concerning the extension to Abelian functions of one of the theorems of Abel on elliptic functions, and the other concerning the transformation
- Justin Émile Borel (7 January 1871 – 3 February 1956) was a French mathematician and politician, originator of the Infinite monkey theorem. Quels que soient
- differ as to what exactly should be called the 'Heine-Borel Theorem'. It seems that Emile Borel proved the most relevant result, dealing with compact