Weak square sequences and special Aronszajn trees

• Autorzy: John Krueger
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 03E05: Other combinatorial set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2013
• Tom: 221
• Numer: 3
• Strony: 267-284

Daty

wydano

2013

Twórcy

autor

John Krueger

• Department of Mathematics, University of North Texas, 1155 Union Circle #311430, Denton, TX 76203, U.S.A.

Identyfikatory

DOI

10.4064/fm221-3-4