Article ID Journal Published Year Pages File Type
4659732 Topology and its Applications 2009 6 Pages PDF
Abstract

A discretely weak P-set is a nowhere dense closed set which is disjoint from the closure of any countable discrete subset of its complement. We show that the Stone–Čech remainder N∗ of the discrete space N of natural numbers cannot be covered by discretely weak P-sets when the continuum hypothesis is assumed.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology