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Acknowledgements I want to express my sincere gratitude to my supervisor Professor Jouko Väänänen for supporting me during all these years of getting acquainted with the intriguing field of set theory. I am also grateful to all other members of the Helsinki Logic Group for interesting discussions and guidance. Especially I wish to thank Do-cent Tapani… (More)

We study a notion of potential isomorphism, where two structures are said to be potentially isomorphic if they are isomorphic in some generic extension that preserves stationary sets and does not add new sets of cardinality less than the cardinality of the models. We introduce the notion of weakly semi-proper trees, and note that there is a strong… (More)

- Ioanna Dimitriou, Bernhard Irrgang, Katie Thompson, Jip Veldman, Alessandro Andretta, Martin Goldstern +3 others
- 2008

We organised thèYoung Researchers in Set Theory' meeting to give talented young researchers in set theory the opportunity to learn from experts and from each other in a friendly cooperative environment. We used the term`young' to mean a PhD student or a post-doc (i.e., someone without a permanent position) and the term`senior' for a researcher with a… (More)

We extract some properties of Mahlo's operation and show that some other very natural operations share these properties. The weakly compact sets form a similar hierarchy as the stationary sets. The height of this hierarchy is a large cardinal property connected to saturation properties of the weakly compact ideal. 1 2

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