The special Aronszajn tree property at $\aleph_2$ and $GCH$

Autor:	Asperó, David, Golshani, Mohammad
Rok vydání:	2018
Předmět:	Mathematics - Logic
Druh dokumentu:	Working Paper
Popis:	Starting from the existence of a weakly compact cardinal, we build a generic extension of the universe in which $GCH$ holds and all $\aleph_2$-Aronszajn trees are special and hence there are no $\aleph_2$-Souslin trees. This result answers a well-known open question from the 1970's. Comment: We fixed a few typos and gaps, and added more explanations for some arguments
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1809.07638 Zobrazit plný text záznamu View this record from Arxiv