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Logic Seminar

Forcing a universal triangle free graph in \(\aleph_1\) without CH, III

Saharon Shelah of HUJI andĀ 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: (

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