ProofWiki:Mathematicians/René-Louis Baire

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

Books and Papers

• 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

Also see

• John J. O'Connor and Edmund F. Robertson: "René-Louis Baire": MacTutor History of Mathematics archive