Mathematician:Maurice René Fréchet
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Mathematician
French mathematician who made considerable advances in topology, and pioneered the concept of metric spaces.
He was fluent in Esperanto and wrote some of his papers in that language.
Nationality
French
History
- Born: 2 Sept 1878, Maligny, Yonne, Bourgogne, France
- Died: 4 June 1973, Paris, France
Theorems and Definitions
- Fréchet Space (Topology) (also known as a $T_1$ Space)
- Fréchet Space (Functional Analysis) and Fréchet Product Metric
- Fréchet-Urysohn Space (with Pavel Samuilovich Urysohn)
- Fréchet Derivative
- Fréchet Distribution
- Fréchet Mean
- Fréchet Distance
- Fréchet Filter
- Fréchet-Nikodym Metric Space (with Otton Marcin Nikodym)
- Fréchet-Darmois-Cramér-Rao Inequality (also known as Cramér-Rao Inequality or Cramér-Rao Bound) (with Georges Darmois, independently from Calyampudi Radhakrishna Rao and Carl Harald Cramér)
Results named for Maurice René Fréchet can be found here.
Definitions of concepts named for Maurice René Fréchet can be found here.
Publications
- 1904 - 1907: Sur les opérations linéaires I-III (On linear operators)
- 1906: Sur quelques points du calcul fonctionnel ("On some points of functional calculus") (Rend. Circ. Mat. Palermo Vol. 22: pp. 1 – 72) (in which the definition of Metric Space is presented)
- 1927: Sur la loi de probabilité de l'écart maximum (in which the Fréchet distribution was first introduced)
- 1928: Les Espaces abstraits (Abstract spaces)
- 1937-1938: Recherches théoriques modernes sur la théorie des probabilités (Modern theoretical research in the theory of probability)
- 1939-1943: Les Probabilités associées à un système d'événements compatibles et dépendants (The Probabilities Associated with a System of Compatible and Dependent Events)
- 1941: Sur la loi de répartion de certaines grandeurs geographiques
- 1953: Pages choisies d'analyse générale (Selected Pages of General Analysis)
- 1954 - 1956: La kanonaj formoj de la 2, 3, 4-dimensiaj paraanalitikaj funkcioj (in Esperanto)
- 1955: Les Mathématiques et le concret (Mathematics and the concrete)
- 1967: Combinatorial Topology (with K. Fan)