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Splitting strongly almost disjoint families. (English) Zbl 0619.03033

The paper gives a theorem formulated in a general (and rather complicated) way that unifies - and strengthens or generalizes - several theorems of topological set theory (in a sense they are - relatively - easy consequences of the theorem); e.g. conditions are given to ensure that a family of almost disjoint sets is ”essentially” disjoint. It is also shown that some of these results are not provable in ZFC without extra hypotheses.
Reviewer: R.David

MSC:

03E05 Other combinatorial set theory
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