# Parovičenko's Characterization of $\beta \omega - \omega$ Implies CH

Eric K. van Douwen and Jan van Mill
Proceedings of the American Mathematical Society
Vol. 72, No. 3 (Dec., 1978), pp. 539-541
DOI: 10.2307/2042468
Stable URL: http://www.jstor.org/stable/2042468
Page Count: 3

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Parovičenko characterized $\beta\omega - \omega$ (dually: the field of subsets of $\omega$ modulo the finite sets) under CH. We show that his characterization implies CH.