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International Journal of Mathematics and Mathematical Sciences
Volume 3, Issue 4, Pages 713-717
http://dx.doi.org/10.1155/S0161171280000518

A topological property of β(N)

United States Geological Survey, Reston 22070, Virginia, USA

Received 15 June 1979

Copyright © 1980 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.