Weak continuum hypothesis

Statement

The term weak continuum hypothesis can be used to refer to the hypothesis that $2^{\aleph_0}<2^{\aleph_1}$, which is the negation of the second continuum hypothesis.p. 80p. 3616 It is equivalent to a weak form of ◊ on $\aleph_1$.p. 2 F. Burton Jones proved that if it is true, then every separable normal Moore space is metrizable.