FRÉCHET, Les espaces abstraits, 1928

First edition.

Maurice Fréchet (1878-1973), is a French mathematician. A prolific mathematician, he worked, among other things, in topology, probability theory and statistics. In 1906, he introduced metric spaces and identified the first notions of topology by seeking to formalize in abstract terms the work of Volterra, Arzelà, Hadamard and Cantor. It introduces the notions of filter, uniform convergence, compact convergence and equicontinuity.