A theorem this mathematician names with Heine states that if f is a continuous function from a compact metric space to another metric space, then f is uniformly continuous.
A theorem this mathematician names with Heine states that if f is a continuous function from a compact metric space to another metric space, then f is uniformly continuous. His namesake theorem states that the power set of A has greater cardinality than A itself, and he chose the symbol (*) aleph-null to represent the cardinality of natural numbers. This mathematician postulated that no set has a cardinality between that of the integers and the real numbers, which is known as the continuum hypothesis.  For 10 points, name this mathematician who proved that the real numbers are uncountable by using his diagonalization argument.
A theorem this mathematician names with Heine states that if f is a continuous function from a compact metric space to another metric space, then f is uniformly continuous.
Georg Cantor