Good ultrafilters and saturated models
G.M. Montagna (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Klaas Pieter Hart – Mentor (TU Delft - Analysis)
E Coplakova – Graduation committee member (TU Delft - Mathematical Physics)
B. van den Dries – Graduation committee member (TU Delft - Analysis)
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Abstract
This thesis focusses on good ultrafilters. Firstly ultrafilters are introduced and the definition of a good ultrafilter is given. Next the proof that good ultrafilters exists is discussed. Lastly it is shown that good ultrafilters make ultraproducts saturated.