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A model with no strongly separable almost disjoint families

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Abstract

We answer a question of Shelah and Steprāns [6] by producing a model of ZFC where there are no strongly separable almost disjoint families. The notion of a strongly separable almost disjoint family is a natural variation on the well known notion of a completely separable almost disjoint family, and is closely related to the metrization problem for countable Fréchet groups.

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, Toronto, ON, M5S 2E4, Canada

    Dilip Raghavan

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  1. Dilip Raghavan
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Correspondence to Dilip Raghavan.

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Author partially supported by NSERC.

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Raghavan, D. A model with no strongly separable almost disjoint families. Isr. J. Math. 189, 39–53 (2012). https://doi.org/10.1007/s11856-011-0173-7

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  • DOI: https://doi.org/10.1007/s11856-011-0173-7

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