Winter School 2009 (Forcing for the faint of heart)

U. Abraham, P. Koszmider, J. Pawlikowski, L. Soukup


The lectures in the tutorial track focused on the basics of forcing theory and its applications. The lectures covered elementary as well as intermediate topics. U. Abraham had a tutorial on forcing with side conditions and the P-ideal dichotomy. P. Koszmider focused on iterated forcing and showed how to force MA, non CH and no Kurepa tree. J. Pawlikowski gave lectures on reals and forcing and L. Soukup focused on forcing and combinatorics. The research track contained the usual mix of research presentations from general topology, set theory, measure theory and related fields.


Uri Abraham, Christian Adler, Antonio Aviles, Boris Šobot, Jaroslav Šupina, Bohuslav Balcar, Taras Banakh, Dana Bartošová, Aleksander Błaszczyk, Wojciech Bielas, Piotr Borodulin-Nadzieja, David Chodounsky, Michal Doucha, Peter Elias, Jana Flašková, Sy David Friedman, Jakub Gismatullin, Magdalena Grzech, Edward Grzegorek, Radek Honzík, Michael Hrušák, Piotr Kalemba, Pawel Kawa, Archil Kipiani, Adam Kolipiński, Piotr Koszmider, Peter Krautzberger, Mikołaj Krupski, Wieslaw Kubis, Andrzej Kucharski, Marcin Kysiak, Michal Machura, Henryk Michalewski, Nikodem Mrożek, Andrzej Nowik, Aleksandar Pavlovic, Janusz Pawlikowski, Tomáš Pazák, Marcin Petrykowski, Szymon Plewik, Robert Rałowski, Ulises Ariet Ramos García, Marcin Sabok, Alicja Samulewicz, Robin Scholz, Omar Selim, Petr Simon, Daniel Soukup, Lájos Soukup, Michal Staš, Wojciech Stadnicki, Jan Starý, Andrzej Starosolski, Marcin Szyszkowski, Osvaldo Alfonso Téllez Nieto, Egbert Thümmel, Urszula Trzópek, Kostas Tsaprounis, Luis Turcio, Jonathan Verner, Thilo Weinert, Wolfgang Wohofsky, Anna Wojciechowska, Jindřich Zapletal, Lyubomyr Zdomskyy, Szymon Zeberski, Ondřej Zindulka


A set of beautiful pictures from Prague by M. Kysiak may be found here (dedicated to Prague mathematicians).
If you have some photos from the Winter School you would like to share with others, please send them (or a link to a gallery) to


A poster for the conference can be downloaded here.

Material accompanying the talk of U. Abraham

Forcing without tears (talks of L. Soukup)
The talks of L. Soukup on forcing can be downloaded from his website here. For your convenience we have provided direct links to the talks: Entree to Generic Extensions and Set Theory
(B. Balcar, T. Pazák and J. Verner)

Preliminary versions of an Entree to forcing prepared especially for this conference is available for download:

Please note that this version is far from finished and may contain many mistakes. If you come across some mistake or a place which is not clear, please let us know so that we can correct it.

Talks, slides, abstracts

Jana FlaškováSome ultrafilters on natural numbers slides
Wieslaw KubisFinitely determined compacta slides
Osvaldo Alfonso Téllez NietoExtremally Disconnected Topological Groups slides
Ulises Ariet Ramos GarcíaCountable Fréchet Groups slides
Marcin SabokPlaying with forcing slides
Marcin SzyszkowskiWeak symmetry slides
Marcin KysiakOn Bernstein sets, kappa-coverings and quotient gr slides
Archil KipianiOn cardinalityes of automorphism groups of uniform slides
Piotr KalembaHausdorff gaps reconstructed from Luzin gaps slides
Henryk MichalewskiExamples of complete pairs of coanalytic sets slides
Jindřich ZapletalForcing and Ramsey Theorems slides
Ondřej ZindulkaEvery M-additive set is E-additive slides
Piotr KoszmiderExamples concerning generic sets slides
Aleksandar PavlovicSeveral Topologies on P(omega) slides
Boris ŠobotGames on Boolean Algebras of Uncountable Length slides
Sy David FriedmanForcing when there are Large Cardinals slides
Piotr KoszmiderSome examples concerning forcing slides
Uri AbrahamP-Ideal Dichotomy I. slides
Peter EliasOn additivity of permitted sets slides
Dana BartošováSpan and Chainability in Non-metric Continua slides
Uri AbrahamP-Ideal Dichotomy II. slides
Peter KrautzbergerForcing Constructions of Idempotent Ultrafilters slides
Thilo WeinertDoes BAAFA decide the size of the continuum? slides
Radek HonzíkGlobal failure of SCH and Easton functions slides
Szymon ZeberskiStructural properties of orderings on multisets slides
Uri AbrahamP-Ideal Dichotomy III. slides
Taras BanakhFinite chain condition and packing completeness fo slides
Tomáš PazákClassification of new reals slides
Piotr KoszmiderExamples concerning iterated forcing II slides