X-Nico

unusual facts about Borel–Cantelli lemma



Borel set

Any measure defined on the Borel sets is called a Borel measure.

Caccioppoli set

:"?title=Borel">Borel sets A \subset \mathbb{R}^n.

Cole Swensen

She is also the founder and editor of La Presse, a small press dedicated to the translation and publication in English of contemporary French poetry (such as by Claude Royet-Journoud or Marie Borel).

Donald A. Martin

Among Martin's most notable work are the proofs of analytic determinacy (from the existence of a measurable cardinal), Borel determinacy (from ZFC alone), the proof (with John R. Steel) of projective determinacy (from suitable large cardinal axioms), and his work on Martin's axiom.

Etablissements Borel

The factory, located at Mourmelon was temporarily forced to close when the outbreak of World War I saw most of its workers conscripted into the army, but Borel re-opened in November 1915 to produce military aircraft for France under licence from other manufacturers including Caudron, Nieuport and SPAD.

Francesco Paolo Cantelli

Cantelli's later work was all on probability and it is in this field where his name graces the Borel–Cantelli lemma and the Glivenko–Cantelli theorem.

George Frederik Willem Borel

George Frederik Willem Borel (Maastricht, Netherlands 22 August 1837 to Bad Nauheim, Germany, 4 August 1907) was a major general in the Netherlands, notable for his involvement in the Banjarmasin and Aceh Wars.

Moment measure

where \textstyle B 1,...,B n is a collection of not necessarily disjoint Borel sets (in \textstyle \textbf{R}^{ d}), which form a \textstyle n-fold Cartesian product of sets denoted by B 1\times,\dots,\times B n.

Petrus Borel

Born Joseph-Pierre Borel dHauterive at Lyon, the twelfth of fourteen children of an ironmonger, he studied architecture in Paris but abandoned it for literature.

Raymond Borel

Borel had founded an aid organization called Secours Médical Français ("French Medical Relief") in response to the 1970 Bhola cyclone.

Theophil Henry Hildebrandt

In 1929 Hildebrandt received the Chauvenet Prize for his 1926 expository article The Borel theorem and its generalizations.

Vitali covering lemma

The first result in this direction was given by David Preiss in 1979: there exists a Gaussian measure γ on an (infinite-dimensional) separable Hilbert space H so that the Vitali covering theorem fails for (H, Borel(H), γ).

Vladimir Varićak

This is a fundamental result for the hyperbolic theory which was demonstrated later by other approaches by Robb (1911) and Borel (1913).


see also