Sequential compactness versus pseudo-radiality in compact spaces
- Juhász, I.
- Szentmiklóssy, Z.
Publication date
March 1993
DOI Publisher
Published by Elsevier B.V. ISSN
0166-8641Abstract
AbstractStrengthening a result of Šapirovskiǐ we prove that if 2ω⩽ω2 then sequential compactness implies pseudo-radiality in compact T2 spaces, moreover we show that the failure of this implication is consistent with 2ω = ω3. We also prove that if a conpact T2 space X is not pseudo-radial then there is a Y⊂X with |Y|<c such that Ȳ is not pseudo-radial. Finally, sequential compactness implies pseudo-radiality in compact spaces of countable tightness if either MA (σ-centered) holds or ω1 Cohen reals are added to any ground model
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