Abstract
We give some consistency results on the existence of uncountable free sets for nowhere-dense set mappings. For example, we prove that it is relatively consistent with ZFC and Martin’s Axiom that any nowhere-dense set mapping defined on the reals has an uncountable free set.
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Avraham, U. Free sets for nowhere-dense set mappings. Israel J. Math. 39, 167–176 (1981). https://doi.org/10.1007/BF02762863
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DOI: https://doi.org/10.1007/BF02762863