Project

Cardinal compactness and generalized tree properties in combinatorial set theory, with applications

Duration
01 October 2015 → 12 October 2016
Funding
Research Foundation - Flanders (FWO)
Research disciplines
  • Natural sciences
    • History and foundations
Keywords
trees ordinals compactness tree properties logic infinitary combinatorics ZFC set theory cardinals
 
Project description

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.