Collectionwise normality without large cardinals

Franklin D. Tall
1982 Proceedings of the American Mathematical Society  
It was previously known to be consistent relative to a strongly compact cardinal that locally compact perfectly normal spaces must be collectionwise normal. We obtain the same result merely by adjoining N2 random reals to a model of V= L.
doi:10.1090/s0002-9939-1982-0647907-7 fatcat:fybdpvklr5allc4wyxfdzdoely