Mathematician:Georg Ferdinand Ludwig Philipp Cantor

Georg Cantor is the creator of set theory.

He established the importance of correspondence between sets and helped to define the concepts of infinity and well-ordered sets.

He is also famous for stating and proving Cantor's Theorem.

Nationality
German

History

 * Born: 3 March 1845, St Petersburg, Russia
 * Died: 6 Jan 1918, Halle, Germany

Theorems and Definitions

 * Cantor Set
 * Cantor Space
 * Cantor-Bendixson Derivative (with )


 * Cantor's Theorem
 * Heine-Cantor Theorem (with
 * Cantor-Bernstein-Schröder Theorem (with and )


 * Real Numbers are Uncountable

Books and Papers

 * 1867: De aequationibus secundi gradus indeterminatis
 * 1874: Über eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen (On a Characteristic Property of All Real Algebraic Numbers)
 * 1883: Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Aggregates)
 * 1915: (translation by  of Beiträge zur Begründung der transfiniten Mengenlehre)
 * 1915: (translation by  of Beiträge zur Begründung der transfiniten Mengenlehre)
 * 1915: (translation by  of Beiträge zur Begründung der transfiniten Mengenlehre)

Also see

 * : Chapter $\text{XXIX}$
 * : Introduction to Set Theory: $1$. Elementary Operations on Sets