Geodesic
Strong Chang’s Conjecture, Semi-Stationary Reflection, the Strong Tree Property and two-cardinal square principles
Víctor Torres-Pérez 1   ; Liuzhen Wu 2
1 Institut für Diskrete Mathematik und Geometrie TU Wien Wiedner Hauptstraße 8/104 1040 Wien, Austria
2 Institute of Mathematics Chinese Academy of Sciences East Zhong Guan Cun Road No. 55 Beijing 100190, China
Fundamenta Mathematicae, Tome 236 (2017) no. 3, pp. 247-262 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that a strong version of Chang’s Conjecture implies both the Strong Tree Property for $\omega _2$ and the negation of the square principle $\square (\lambda , \omega )$ for every regular cardinal $\lambda \geq \omega _2$.
DOI : 10.4064/fm257-5-2016
Keywords: prove strong version chang conjecture implies strong tree property omega negation square principle square lambda omega every regular cardinal lambda geq omega

Víctor Torres-Pérez  1   ; Liuzhen Wu  2

1 Institut für Diskrete Mathematik und Geometrie TU Wien Wiedner Hauptstraße 8/104 1040 Wien, Austria
2 Institute of Mathematics Chinese Academy of Sciences East Zhong Guan Cun Road No. 55 Beijing 100190, China 
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Víctor Torres-Pérez; Liuzhen Wu. Strong Chang’s Conjecture, Semi-Stationary Reflection, the Strong Tree Property and two-cardinal square principles. Fundamenta Mathematicae, Tome 236 (2017) no. 3, pp. 247-262. doi: 10.4064/fm257-5-2016

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