Publication date
November 1985
DOI Publisher
Published by Elsevier B.V. ISSN
0166-8641Abstract
AbstractFor an infinite cardinal κ, we call a compact zero-dimensional space a κ-Parovicenko space if its boolean algebra of clopen sets is κ-saturated and has cardinality κ<κ. We answer some questions about these spaces which were posed in [14]. For instance, it is shown that a κ+-Parovicenko spacé can be a Stone-Cech remainder in a natural way. We show that some of the results in [14] which used the assumption κ<κ=κ, do indeed require this assumption. We also show that if 2κ=κ+ then each compact Fκ+-space with weight κ+ can be embedded into a κ+-Parovicenko space (and so into an extremally disconnected space)
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