## Séminaire Général de Logique

### The special $\aleph_2$-Aronszajn tree property and GCH

#### David Aspero - University of East Anglia

lundi 15 octobre 2018 à 15:10

Assuming the existence of a weakly compact cardinal, we build a forcing extension in which GCH holds and every $\aleph_2$-Aronszajn tree is special. This answers a well-known question from the 1970’s. I will present the proof of this theorem, with as many details as possible. This is joint work with Mohammad Golshani.

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