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Maurice Fréchet (September 2, 1878 – June 4, 1973) was a French mathematician.

In 1906, he introduced the concept of metric space, and was one of the founders of functional analysis. He also coined the term compact space. He was a student of Jacques Hadamard at École Normale Supérieure.

The Fréchet metric is a metric function upon an infinite cartesian product of metric spaces <X₁,d₁>,<X₂,d₂>..., defined by: ${\displaystyle d(x,y)=\sum {\frac {1}{2^{n}}}{\frac {d_{n}(x_{n},y_{n})}{1+d_{n}(x_{n},y_{n})}}}$

See also

• Fréchet space
• Fréchet-Urysohn space
• Fréchet derivative.

References

• O'Connor, John J.; Robertson, Edmund F., "René Maurice Fréchet", MacTutor History of Mathematics Archive, University of St Andrews
• René Maurice Fréchet at the Mathematics Genealogy Project

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