Random gaps under CH

James Hirschorn
2003 Transactions of the American Mathematical Society  
It is proved that if the Continuum Hypothesis is true, then one random real always produces a destructible (ω 1 , ω 1 ) gap.
doi:10.1090/s0002-9947-03-03380-4 fatcat:zrclvf3l5vbfzhjzcktfm4nqua