Article ID Journal Published Year Pages File Type
4660120 Topology and its Applications 2011 7 Pages PDF
Abstract

It is shown that in the model obtained by adding κ many random reals, where κ is a supercompact cardinal, every C⁎-embedded subset of a first countable space (even with character smaller than κ) is C-embedded. It is also proved that if two ground model sets are completely separated after adding a random real then they were completely separated originally but CH implies that the Cohen poset does not have this property.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology