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Two step iteration of almost disjoint families

  • Jerry E. Vaughan (a1)

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Let E be an infinite set, and [E]ω the set of all countably infinite subsets of E. A family ⊂ [E]ω is said to be almost disjoint (respectively, pairwise disjoint) provided for A, B, if AB then AB is finite (respectively, AB is empty). Moreover, an infinite family A is said to be a maximal almost disjoint family provided it is an infinite almost disjoint family not properly contained in any almost disjoint family. In this paper we are concerned with the following set of topological spaces defined from (maximal) almost disjoint families of infinite subsets of the natural numbers ω.

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Two step iteration of almost disjoint families

  • Jerry E. Vaughan (a1)

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