PROOF OF CANTORʹʹS CONTINUUM HYPOTHESIS

We shall attempt to prove Cantorʹs General Continuum Hypothesis, a special case of which is known as the Continuum Hypothesis, namely that the cardinality of the power set of an innite set is the consecutive cardinality. An ordered eld of cardinality @S with interval topology of weight @S is constructed, where @S is an uncountable isolated cardinal.