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In the first part the article contains an exposition of introductory notions of model theory. The second part is devoted to a new research direction in model theory, related to topological dynamics. Several connections between the notions of model theory and topological dynamics are discussed. In particular, a model-theoretic perspective on the Ellis semigroup is skeched.
Słowa kluczowe
Wydawca
Rocznik
Tom
Strony
1--13
Opis fizyczny
bibliogr. 14 poz.,
Twórcy
autor
- Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384 Wrocław, newelski@math.uni.wroc.pl
Bibliografia
- [Ba] J.T. Baldwin, Fundamentals of Stability Theory, Springer, Berlin 1988.
- [HPP] E. Hrushovski, Y. Peterzil, A. Pillay, Groups, Measures and the NIP, preprint 2005.
- [CK] C.C. Chang i H.J. Keisler, Model Theory, 3 wyd., North Holland, Amsterdam 1990.
- [CR] H.H. Crapoi G.C. Rota, On the Foundations of Combinatorial Theory: Combinatorial Geometries, MIT Press 1970.
- [Ho] W. Hodges, Model Theory, Cambridge University Press, Cambridge 1993.
- [Ma] D. Marker, Model Theory. An Introduction, Grad. Texts in Math., Springer, New York 2002.
- [Ne1] L. Newelski, On Type-definable Subgroups of a Stable Group, Notre Dame J.Formal Logic 32 (1991), 173-187.
- [Ne2] L. Newelski, Meager forking and m-independence, Proc. Int. Congress of Math., Berlin 1988, Doc.Math., Extra Vol. II (1998), 33-42.
- [Ne3] L. Newelski, Topological Dynamics of Definable Group Actions, preprint 2006.
- [NP] L. Newelskii M. Petrykowski, Weak generic types and coverings of groups I, Fund.Math. 191 (2006), 201-225.
- [Pi] A. Pillay, Geometric Model Theory, Clarendon Press, Oxford 1996.
- [Po] B. Poizat, Groupes stables, Nur Al-Mantiq Wal-Ma'rifah, Villeurbane, Francja 1985.
- [Sa] G. Sacks, Saturated Model Theory, Benjamin, Reading 1972.
- [Sh] S. Shelah, Maximal Bounded Index Subgroup for Dpendent Theories, preprint 2005.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0001-0012