WEIL, ANDRÉ. - WEIL'S UNIFORM SPACE INTRODUCED.

Sur les Espaces a Structure uniforme et sur la Topologie générale.

Paris, Hermann & Cie, Frontwrapper: 1937, Titlepage: 1938. Lex8vo. Uncut and unopened in orig. printed wrappers. Stamps on foot of titlepage. In the series "Act. Sci. Industrielles 551, Paris, 1937".

First edition of Weil's importent work on uniform topological spaces where he gives the first explicit definition of uniform structure
"His most widely used innovation was in point set topology, namely the idea of uniform spaces. Such a space has no metric giving a distance between points, yet it makes sense to talk of different sequences "converging at the same rate" to different points. In particular there is a well-defined notion of uniform convergence of a series of functions from one uniform space to another." (DSB).

Order-nr.: 49866