International Journal of Mathematics and Mathematical Sciences
Volume 3 (1980), Issue 4, Pages 713-717
doi:10.1155/S0161171280000518

A topological property of β(N)

Anastase Nakassis

United States Geological Survey, Reston 22070, Virginia, USA

Abstract

In this paper we prove that the Stone-Cech-compactification of the natural numbers does not admit a countable infinite decomposition into subsets homeomorphic to each other and to the said compactification.