Research Explorer

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Project

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

Outputs and Outcomes

Code

3F012515

Duration

01 October 2015 → 12 October 2016

Funding

Research Foundation - Flanders (FWO)

Promotor

Andreas Weiermann

Fellow

Joep Horbach

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.

English

Dutch

English

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