René Maurice Fréchet

René Maurice Fréchet (French: [ʁəne mɔʁis fʁeʃɛ, moʁ-]; 2 September 1878 – 4 June 1973) was a French mathematician. He made major contributions to general topology and was the first to define metric spaces. He also made several important contributions to the field of statistics and probability, as well as calculus. His dissertation opened the entire field of functionals on metric spaces and introduced the notion of compactness. Independently of Riesz, he discovered the representation theorem in the space of Lebesgue square integrable functions. He is often referred to as the founder of the theory of abstract spaces.

Maurice Fréchet
Maurice Fréchet
Born(1878-09-02)2 September 1878
Maligny, France
Died4 June 1973(1973-06-04) (aged 94)
Paris, France
NationalityFrench
Alma materÉcole Normale Supérieure
Known forMetric spaces, Fréchet spaces, Fréchet distribution, Fréchet distance
Scientific career
FieldsMathematics
InstitutionsUniversity of Bordeaux
University of Strasbourg
École des Hautes-Études
École Normale Supérieure
Doctoral advisorJacques Hadamard
Doctoral studentsNachman Aronszajn
Robert Fortet
Đuro Kurepa
Ky Fan
Antonio Monteiro
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