# Seminars & Colloquia Calendar

Logic Seminar

## Forcing a universal triangle free graph in $$\aleph_1$$ without CH, III

#### Saharon Shelah of HUJI and Rutgers University

Location:  HILL 705
Date & time: Monday, 30 October 2017 at 5:00PM - 6:00PM

Abstract:  Say that consistently there are $$\aleph_2$$ less than continuum graphs ! each of size $$\aleph_1$$ which form a universal family. See work with Dzamonja [614] and [457]. Here we use a forcing which is half way between CS, product, and CS iteration. We also discuss the method in related cases.

This talk is based on earlier results from paper [F1340] on the archive: (http://shelah.logic.at/).

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