Geodesic
Weak square sequences and special Aronszajn trees
John Krueger1
1 Department of Mathematics University of North Texas 1155 Union Circle #311430 Denton, TX 76203, U.S.A.
Fundamenta Mathematicae, Tome 221 (2013) no. 3, pp. 267-284.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A classical theorem of set theory is the equivalence of the weak square principle $\Box _\mu ^*$ with the existence of a special Aronszajn tree on $\mu ^+$. 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.
DOI : 10.4064/fm221-3-4
Keywords: classical theorem set theory equivalence weak square principle box * existence special aronszajn tree introduce notion weak square sequence regular uncountable cardinal prove equivalence between weak square sequences special aronszajn trees holds general

John Krueger 1

1 Department of Mathematics University of North Texas 1155 Union Circle #311430 Denton, TX 76203, U.S.A. 
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John Krueger. Weak square sequences and special Aronszajn trees. Fundamenta Mathematicae, Tome 221 (2013) no. 3, pp. 267-284. doi : 10.4064/fm221-3-4. http://geodesic.mathdoc.fr/articles/10.4064/fm221-3-4/

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