Proof of cantor’s continuum hypothesis

Document Type : Research Paper

Author

Department of Mathematics and Informatics, College of Ny´ıregyh´aza, Sostoi 31/b Ny´ıregyh´aza, Hungary

Abstract

We shall attempt to prove Cantor’s General Continuum Hypothesis, a special case of which is known as the Continuum Hypothesis, namely that the cardinality of the power set of an infinite set is the consecutive cardinality. An ordered field of cardinality ℵSρ with interval topology of weight ℵSρ is constructed, where ℵSρ is an uncountable isolated cardinal.

Keywords