In functional analysis, the Fréchet–Kolmogorov theorem (the names of Riesz or Weil are sometimes added as well) gives a necessary and sufficient condition...

Landau–Kolmogorov inequality Fréchet–Kolmogorov theorem This disambiguation page lists articles associated with the title Kolmogorov's theorem. If an...

interpretation Kolmogorov microscales Kolmogorov's normability criterion Fréchet–Kolmogorov theorem Kolmogorov space Kolmogorov complexity Kolmogorov–Smirnov...

The theorem is also sometimes known as the Carathéodory–Fréchet extension theorem, the Carathéodory–Hopf extension theorem, the Hopf extension theorem and...

result in incorrect copula dependence structure. The Fréchet–Hoeffding theorem (after Maurice René Fréchet and Wassily Hoeffding) states that for any copula...

{\displaystyle C([0,T],L^{1}(\mathbb {R} ^{N})).} Helly's selection theorem Fréchet–Kolmogorov theorem Arzelà, Cesare (1895), "Sulle funzioni di linee", Mem. Accad...

neighbourhoods) and Kolmogorov (i.e. distinct points are topologically distinguishable). A topological space is preregular if and only if its Kolmogorov quotient...

Probability The theorem has other names including Kolmogorov's consistency theorem, Kolmogorov's extension theorem or the Daniell–Kolmogorov theorem. Joseph L...

Fréchet derivative article. There are four major theorems which are sometimes called the four pillars of functional analysis: the Hahn–Banach theorem...

Comptes Rendus de l'Académie des Sciences de Paris, Fréchet and Lebesgue refused to present it. Fréchet wrote that an implication between two well known...

as ultrafilters resemble axiom-of-choice-like maximal extensions of the Fréchet filter). The resulting semiring is a non-standard model of arithmetic....

developed Anosov diffeomorphism Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser theorem in dynamical systems, solved Hilbert's 13th problem, raised...

Maurice Fréchet became interested in Markov chains, eventually resulting in him publishing in 1938 a detailed study on Markov chains. Andrey Kolmogorov developed...

Urysohn universal space and his name is also commemorated in the terms Fréchet–Urysohn space, Menger–Urysohn dimension and Urysohn integral equation....

uncertainty Kolmogorov backward equation Kolmogorov continuity theorem Kolmogorov extension theorem Kolmogorov's criterion Kolmogorov's generalized criterion...

metric Fréchet distance Total variation distance of probability measures Transportation theory Earth mover's distance Wasserstein GAN Kolmogorov–Smirnov...

inequality Fano's inequality Fefferman's inequality Fréchet inequalities Gauss's inequality Gauss–Markov theorem, the statement that the least-squares estimators...

Volterra, Cesare Arzelà, Jacques Hadamard, Giulio Ascoli and others, Maurice Fréchet introduced the metric space in 1906. A metric space is now considered a...

say such things as T1 space, Fréchet topology, and Suppose that the topological space X is Fréchet, avoid saying Fréchet space in this context, since...

ISBN 978-0-691-08527-2. Fréchet, Maurice (1907), "Sur les ensembles de fonctions et les opérations linéaires", C. R. Acad. Sci. Paris, 144: 1414–1416. Fréchet, Maurice...

the proofs of several theorems of crucial importance, for instance the Hahn–Banach theorem in functional analysis, the theorem that every vector space...

{\displaystyle \tau } on X . {\displaystyle X.} The following theorem is due to Kolmogorov: Kolmogorov's normability criterion: A Hausdorff topological vector...

13:00 is 12:00, but this location is equivalent to that of 00:00. The Fréchet mean gives a manner for determining the "center" of a mass distribution...

completely regular" is the same as what we usually call normal regular. Taking Kolmogorov quotients, we see that all normal T1 spaces are Tychonoff. These are what...

"trouble" with the trivial topology is its poor separation properties: its Kolmogorov quotient is the one-point space. A first-countable, separable Hausdorff...

that a space is T3 if and only if it is both regular and T0. (A T0 or Kolmogorov space is a topological space in which any two distinct points are topologically...

citizen. Studying probability theory at the Université de Paris under Fréchet, he quickly made a name for himself as a gifted theorist. He received his...

Borel measure Borel–Kolmogorov paradox Borel–Cantelli lemma Borel–Carathéodory theorem Heine–Borel theorem Borel determinacy theorem Borel right process...

(called "area" by him) and of the concept of compactness introduced by Fréchet. He also founded and developed the theory of the connected set, particularly...

Encyclopedia of Mathematics, EMS Press. Golubov, Boris I. (2001) [1994], "Fréchet variation", Encyclopedia of Mathematics, EMS Press. Golubov, Boris I. (2001)...