Applications of another characterization of βN⧹N

Steprāns provided a characterization of βN⧹N in the ℵ2-Cohen model that is much in the spirit of Parovičenkoʹs characterization of this space under CH. A variety of the topological results established in the Cohen model can be deduced directly from the properties of βN⧹N or P(N)/fin that feature in Steprānsʹ result.