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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...

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Anti-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...

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Anti-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...

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From 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...

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From 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...

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Polychromatic 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...

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Infinite-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...

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Strong 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...

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Infinite-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...

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Large Sets

22/12/2013 - 10:10 Speaker:  Assaf Rinot Seminar: Infinite CombinatoricsAbstract: We shall present various concepts of being a "large" subset of w1.

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Nonuniversal 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...

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Luzin 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...

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Preservation 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...

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Well-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...

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Avoiding 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...

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A 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...

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Resolvability 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...

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More 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...

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The 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...

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Variants 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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