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1998 | 158 | 3 | 229-240
Tytuł artykułu

Almost disjoint families and property (a)

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We consider the question: when does a Ψ-space satisfy property (a)? We show that if $|A| < \got p$ then the Ψ-space Ψ(A) satisfies property (a), but in some Cohen models the negation of CH holds and every uncountable Ψ-space fails to satisfy property (a). We also show that in a model of Fleissner and Miller there exists a Ψ-space of cardinality $\got p$ which has property (a). We extend a theorem of Matveev relating the existence of certain closed discrete subsets with the failure of property (a).
  • Department of Mathematics, Ohio University, Athens, Ohio 45701, U.S.A.
  • Department of Mathematical Sciences, University of North Carolina at Greensboro, Greensboro, North Carolina 27412, U.S.A.
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