Code
3F012515
Duration
01 October 2015 → 12 October 2016
Funding
Research Foundation - Flanders (FWO)
Promotor
Fellow
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.