When Ramsey's theorem fails
14/10/2013 - 10:00 Speaker: אסף רינות Seminar: Infinite CombinatoricsAbstract: במפגש הראשון דנו במשפט רמזי הסופי והאינסופי, ובדוגמא של שרפינסקי המראה כי ההכללה המתבקשת למקרה שאיננו בן מניה - איננה...
View ArticleAnti-Ramsey colorings of the rational numbers, part 1
21/10/2013 - 10:00 Speaker: לידור אלדבח Seminar: Infinite CombinatoricsAbstract: Lidor will present a proof of Baumgartner's theorem stating that there is a coloring of all pairs of rational numbers in...
View ArticleAnti-Ramsey colorings of the rational numbers, part 2
27/10/2013 - 10:00 Speaker: Lidor Eldabah Seminar: Infinite CombinatoricsAbstract: Lidor will present a proof of Todorcevic's theorem stating that there is a continuous coloring of all triples of...
View ArticleFrom topology to colorings
03/11/2013 - 10:10 Speaker: Yuval Hachatrian Seminar: Infinite CombinatoricsAbstract: Yuval will show how to read a b-universal binary sequence of length continuum from Kronecker's theorem on...
View ArticleFrom colorings to topology
10/11/2013 - 10:10 Speaker: Yuval Hachatrian Seminar: Infinite CombinatoricsAbstract: An L-space is a regular topological space which is hereditary Lindelof, but not separable. Yuval will present a...
View ArticlePolychromatic colorings of the first uncountable cardinal
17/11/2013 - 10:10 Speaker: Dani Livne (BGU) Seminar: Infinite CombinatoricsAbstract: We shall provide sufficient conditions for the existence of a function f:[w1]2→w1 satisfying the following:f is...
View ArticleInfinite-dimensional polychromatic colorings
24/11/2013 - 10:10 Speaker: Dani Livne Seminar: Infinite CombinatoricsAbstract: We shall prove that for every infinite cardinal k, there exists a coloring c:[k]w→X satisfying the following:c is...
View ArticleStrong colorings without nontrivial polychromatic sets
08/12/2013 - 10:10 Speaker: Michal Machura Seminar: Infinite CombinatoricsAbstract: Michal shall prove Shelah's thereom that the Continuum Hypothesis entails a coloring c:[w1]2-->w such that...
View ArticleInfinite-dimensional Jonsson algebras
15/12/2013 - 10:10 Speaker: Tomer Bauer Seminar: Infinite CombinatoricsAbstract: Can you tell the present by knowing the future? That is, can there be a function f:[X]w-->X so that given a sequence...
View ArticleLarge Sets
22/12/2013 - 10:10 Speaker: Assaf Rinot Seminar: Infinite CombinatoricsAbstract: We shall present various concepts of being a "large" subset of w1.
View ArticleNonuniversal colorings in ZFC
29/12/2013 - 10:10 Speaker: Dani Livne Seminar: Infinite CombinatoricsAbstract: Dani shall present costructions (due to Hajnal) of Anti-Ramsey colorings which are not universal. That is, these...
View ArticleLuzin sets and generalizations
05/01/2014 - 10:10 Speaker: Assaf Rinot Seminar: Infinite CombinatoricsAbstract: We shall present the notion of a Luzin Set, various generalizations, as well as applications to strong and...
View ArticlePreservation of the higher chain condition under products
02/11/2014 - 10:00 Speaker: Assaf Rinot Seminar: Infinite CombinatoricsAbstract: We shall survey the history of the study of the productivity of the k-chain-condition in partial orders, topological...
View ArticleWell-colorings and the Hanf number for amalgamation
09/11/2014 - 10:00 Speaker: Chris Lambie-Hanson (HUJI) Seminar: Infinite CombinatoricsAbstract: The amalgamation property is a topic of fundamental interest in model theory and is still imperfectly...
View ArticleAvoiding rational distances
16/11/2014 - 10:15 Speaker: Ashutosh Kumar (HUJI) Seminar: Infinite CombinatoricsAbstract: Komjath has asked the following question: Let X be a subset of Euclidean space. Must there exist a subset Y...
View ArticleA Theory of Stationary Trees and the Balanced Baumgartner-Hajnal-Todorcevic...
23/11/2014 - 10:15 Speaker: Ari Brodsky (BIU) Seminar: Infinite CombinatoricsAbstract: We shall discuss generalizations of Ramsey's theorem to the context of trees of high chromatic number. A detailed...
View ArticleResolvability of topological spaces
30/11/2014 - 10:15 Speaker: Nir Hakeyni (BIU) Seminar: Infinite CombinatoricsAbstract: A topological space is called resolvable if it is the union of two disjoint dense subsets. Since the concept was...
View ArticleMore on Resolvability of topological spaces
07/12/2014 - 10:15 Speaker: Nir Hakeyni (BIU) Seminar: Infinite CombinatoricsAbstract: A topological space is called k-resolvable if it is the union of k many disjoint dense subsets. In this second...
View ArticleThe P-hierarchy of ultrafilters
14/12/2014 - 10:15 Speaker: Michal Machura (BIU) Seminar: Infinite CombinatoricsAbstract: We shall present the P-hierarchy of ultrafilters, that was posed by Andrzej Starosolski. The P-hierarchy of...
View ArticleVariants and generalizations of Diamond^*
28/12/2014 - 10:00 Speaker: Efrat Taub (BIU) Seminar: Infinite Combinatorics Place: Room 201, Building 216 Abstract: Some combinatorial principles were invented by Jensen, in his analysis of Godel's...
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