Cantor-Bendixson theorem

== English == === Etymology === Named after Georg Cantor (1845–1918), a German mathematician who invented set theory, and Ivar Otto Bendixson (1861–1935), a Swedish mathematician. === Proper noun === Cantor-Bendixson theorem (set theory) A theorem which (in a simpler formulation) states that a closed uncountable set in Euclidean n-space is equal to the disjoint union of a perfect set and a countable set. === References === Tom M. Apostol (1957), Mathematical Analysis : A Modern Approach to Advanced Calculus, Reading, Massachusetts, U.S.A.: Addison-Wesley Publishing Company, Inc., published 1960, LCCN 57008707, page 60