2015 seminar talk: Uniformization properties in connection to graph colourings

Talk held by Daniel Soukup (Hungarian Academy of Sciences, Budapest, Hungary) at the KGRC seminar on 2015-12-03.


The aim of this talk is to review certain uniformization properties of ladder systems on $\omega_1$. In particular, we focus on a machinery (of iterating a family of simple non proper posets) developed by Shelah investigating the Whitehead problem under CH. Our main interest lies in using this technique to construct uncountably chromatic graphs with interesting/unexpected behavior.

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Kurt Gödel Research Center for Mathematical Logic. Währinger Straße 25, 1090 Wien, Austria. Phone +43-1-4277-50501. Last updated: 2010-12-16, 04:37.