Parovicenko's Characterization of βω- ω Implies CH

DOI10.2307/2042468zbMath0362.54003OpenAlexW2331478471MaRDI QIDQ4136156

Eric K. van Douwen, Jan van Mill

Publication date: 1978

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2042468

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Dimension theory in general topology (54F45) Continuum hypothesis and Martin's axiom (03E50)

Related Items (9)

Between reduced powers and ultrapowers, II. ⋮ In memoriam: Eric Karl van Douwen (1946-1987) ⋮ A topological property enjoyed by near points but not by large points ⋮ Martin's axiom and pathological points in \(\beta\) X\(\backslash X\) ⋮ A compact F-space not co-absolute with betaN-N ⋮ One more topological equivalent of CH ⋮ A Boolean algebra and a Banach space obtained by push-out iteration ⋮ \(\omega^*\) has (almost) no continuous images ⋮ Saturated Boolean algebras and their Stone spaces

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