For a set , let denote the cardinality of . A family is called strongly almost disjoint if there is an such that for any two distinct elements , of . It is shown in (without the axiom of choice) that, for all infinite sets and all strongly almost disjoint families , and there are no finite-to-one functions from into , where denotes the power set of .
Notre Dame J. Formal Logic
61(2):
227-231
(May 2020).
DOI: 10.1215/00294527-2020-0002
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