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Strongly almost disjoint functions

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Abstract

Two total functionsf, g fromω 1 toω are called strongly almost disjoint if {α<ω 1:f(α)=g(α)} is finite. We show that it is consistent with ZFC to have families of pairwise strongly almost disjoint functions of arbitrary prescribed size.

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Authors and Affiliations

  1. Department of Mathematics, The Pennsylvania State University, 16802, University Park, PA, USA

    Jindřich Zapletal

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  1. Jindřich Zapletal
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Correspondence to Jindřich Zapletal.

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Zapletal, J. Strongly almost disjoint functions. Isr. J. Math. 97, 101–111 (1997). https://doi.org/10.1007/BF02774029

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  • DOI: https://doi.org/10.1007/BF02774029

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