Determinateness and partitions

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Abstract

It is proved that the axiom of determinateness of Mycielski and Steinhaus for games in which players alternate in writing reals implies that ω → (ω)ω2 (i-e. for every partition of infinite sets of natural numbers into two classes there is an infinite set such that all its infinite subsets belong to the same class).

Original languageEnglish (US)
Pages (from-to)303-306
Number of pages4
JournalProceedings of the American Mathematical Society
Volume54
Issue number1
DOIs
StatePublished - Jan 1976

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