Weak square sequences and special Aronszajn trees
John Krueger
Fundamenta Mathematicae, Tome 220 (2013), p. 267-284 / Harvested from The Polish Digital Mathematics Library
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A classical theorem of set theory is the equivalence of the weak square principle □μ* with the existence of a special Aronszajn tree on μ⁺. We introduce the notion of a weak square sequence on any regular uncountable cardinal, and prove that the equivalence between weak square sequences and special Aronszajn trees holds in general.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:282717 
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John Krueger. Weak square sequences and special Aronszajn trees. Fundamenta Mathematicae, Tome 220 (2013) pp. 267-284. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm221-3-4/