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Project
Cardinal compactness and generalized tree properties in combinatorial set theory, with applications
For this research, I will attempt to obtain a better insight into the properties of cardinals, focussing on compactness and several tree properties. How do they relate? What can we say about them using only ZFC, when do we require more assumptions? I will also look at how this can be applied to fields such as topology, logic and algebra.
Date:1 Oct 2015 → 12 Oct 2016
Keywords:set theory, cardinals, trees, ordinals, compactness, tree properties, logic, infinitary combinatorics, ZFC
Disciplines:History and foundations