Reverse mathematics and properties of finite character

Abstract

We study the reverse mathematics of the principle stating that, for every property of finite character, every set has a maximal subset satisfying the property. In the context of set theory, this variant of Tukey’s lemma is equivalent to the axiom of choice. We study its behavior in the context of second-order arithmetic, where it applies to sets of natural… (More)
DOI: 10.1016/j.apal.2012.01.007

Topics

  • Presentations referencing similar topics