[1] In 1890, Baire completed his advanced classes and entered the special mathematics section of the Lycée Henri IV.

He did better than all the other students on the writing portion of the test but he did not pass the oral examination due to a lack of explanation and clarity in his lesson.

Over time, he had developed a kind of psychological disorder that made him unable to undertake work that required long periods of concentration.

[1] In 1914 he was given a leave of absence from the University of Dijon due to his poor health,[4] after which he spent the rest of his life in Lausanne, Switzerland, and around Lake Geneva.

[4] In his dissertation Sur les fonctions de variable réelles ("On the Functions of Real Variables"), Baire studied a combination of set theory and analysis topics to arrive at the Baire category theorem and the definition of a nowhere dense set.

Among Baire's other most important works are Théorie des nombres irrationnels, des limites et de la continuité (Theory of Irrational Numbers, Limits, and Continuity) published in 1905 and both volumes of Leçons sur les théories générales de l’analyse (Lessons on the General Theory of Analysis) published in 1907–08.