Mathematician:René-Louis Baire

Mathematician
French mathematician who worked mainly on the theory of continuity and irrational numbers.

Most famous for the Baire Category Theorem.

Nationality
French

History

 * Born: 21 Jan 1874, Paris, France
 * Died: 5 July 1932, Chambéry, France

Theorems and Definitions

 * Baire Category Theorem
 * Baire Characterisation Theorem
 * Baire-Osgood Theorem (with )


 * Baire Space (Set Theory)
 * Baire Space (Topology)
 * Baire Function
 * Baire Measure
 * Baire Set
 * Property of Baire

Publications

 * 1899: Sur les fonctions de variables réelles (On real-variable functions)
 * 1905: Théorie des nombres irrationnels, des limites et de la continuité (Theory of irrational numbers, limits and continuity)
 * 1905: Leçons sur les fonctions discontinues (Lessons on discontinuous functions) (with Arnaud Denjoy)
 * 1907-08: Leçons sur les théories générales de l'analyse (Lessons on general theories of analysis), 2 volumes