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Almost-disjoint family Slim tree regressive Souslin tree Successor of Regular Cardinal Strong coloring Uniformly homogeneous Ramsey theory over partitions Parameterized proxy principle positive partition relation Minimal Walks projective Boolean algebra Forcing Strongly compact cardinal Weakly compact cardinal O-space Entangled linear order Hindman's Theorem Subtle cardinal Greatly Mahlo Iterated forcing Respecting tree Almost Souslin Ostaszewski square Erdos-Hajnal graphs Singular Density ZFC construction Lipschitz reduction Martin's Axiom specializable Souslin tree Generalized Clubs PFA Subadditive GMA Fodor-type reflection Jonsson cardinal Souslin Tree unbounded function C-sequence square weak diamond tensor product graph Forcing Axioms Countryman line HOD Poset higher Baire space Knaster Interval topology on trees b-scale Sierpinski's onto mapping principle Uniformly coherent Vanishing levels Knaster and friends Was Ulam right? Local Club Condensation. stationary reflection diamond star Strongly Luzin set Singular cofinality Postprocessing function Chromatic number Shelah's Strong Hypothesis Antichain Ulam matrix Amenable C-sequence Sakurai's Bell inequality Well-behaved magma Intersection model Reflecting stationary set Dushnik-Miller Small forcing Axiom R countably metacompact OCA perfectly normal Singular cardinals combinatorics Partition Relations Analytic sets weak Kurepa tree coloring number transformations full tree Forcing with side conditions Subtle tree property Mandelbrot set Hereditarily Lindelöf space Kurepa Hypothesis strongly bounded groups Diamond Diamond-sharp Uniformization Successor of Singular Cardinal Aronszajn tree Generalized descriptive set theory Non-saturation AIM forcing club_AD Coherent tree ccc approachability ideal Square-Brackets Partition Relations nonmeager set Absoluteness free Boolean algebra Chang's conjecture Open Access Foundations Universal Sequences S-Space Nonspecial tree 54G20 Hedetniemi's conjecture weak square Whitehead Problem sap Club Guessing Monotonically far incompactness Ascending path Partition relations for trees Diamond for trees Rado's conjecture Fat stationary set Filter reflection Commutative projection system Precaliber Subnormal ideal Almost countably chromatic Closed coloring super-Souslin tree Erdos Cardinal Ascent Path indecomposable filter Ineffable cardinal Prikry-type forcing Luzin set Fast club Large Cardinals stationary hitting Cardinal function L-space Rainbow sets Dowker space free Souslin tree Prevalent singular cardinals PFA(S)[S] Sigma-Prikry square principles Cohen real Distributive tree reflection principles polarized partition relation Selective Ultrafilter Commutative cancellative semigroups Microscopic Approach Cardinal Invariants stick Constructible Universe Reduced Power Rock n' Roll middle diamond SNR very good scale xbox P-Ideal Dichotomy
Category Archives: Invited Talks
MFO workshop in Set Theory, April 2020
The Set Theory workshop in Obwerwolfach was supposed to take place April 2020, but was transformed into a webinar, due to COVID-19. Here you will find the title, abstract, slides and video of my webinar talk. Talk Title: Transformations of … Continue reading
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The 15th International Workshop on Set Theory in Luminy, September 2019
I gave an invited talk at the 15th International Workshop on Set Theory in Luminy in Marseille, September 2019. Talk Title: Chain conditions, unbounded colorings and the C-sequence spectrum. Abstract: The productivity of the $\kappa$-chain condition, where $\kappa$ is a regular, … Continue reading
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Tagged Closed coloring, Knaster, Precaliber, stationary reflection, unbounded function
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50 Years of Set Theory in Toronto, May 2019
I gave an invited talk at the 50 Years of Set Theory in Toronto meeting, Fields Institute for Research in Mathematical Sciences, May 2019. Talk Title: Analytic quasi-orders and two forms of diamond Abstract: We study Borel reduction of equivalence relations … Continue reading
Posted in Invited Talks
Tagged Analytic sets, Diamond-sharp, Generalized descriptive set theory
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4th Arctic Set Theory Workshop, January 2019
I gave an invited talk at the Arctic Set Theory Workshop 4 in Kilpisjärvi, January 2019. Talk Title: Splitting a stationary set: Is there another way? Abstract: Motivated by a problem in pcf theory, we seek for a new way … Continue reading
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Tagged Club Guessing, Reflecting stationary set, Ulam matrix, very good scale
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11th Young Set Theory Workshop, June 2018
I gave a 4-lecture tutorial at the 11th Young Set Theory Workshop, Lausanne, June 2018. Title: In praise of C-sequences. Abstract. Ulam and Solovay showed that any stationary set may be split into two. Is it also the case that … Continue reading
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Tagged Aronszajn tree, C-sequence, incompactness, Knaster, Minimal Walks, Postprocessing function, square
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The 14th International Workshop on Set Theory in Luminy, October 2017
I gave an invited talk at the 14th International Workshop on Set Theory in Luminy in Marseille, October 2017. Talk Title: Distributive Aronszajn trees Abstract: It is well-known that that the statement “all $\aleph_1$-Aronszajn trees are special” is consistent with ZFC … Continue reading
6th European Set Theory Conference, July 2017
I gave a 3-lecture tutorial at the 6th European Set Theory Conference in Budapest, July 2017. Title: Strong colorings and their applications. Abstract. Consider the following questions. Is the product of two $\kappa$-cc partial orders again $\kappa$-cc? Does there exist … Continue reading
Posted in Invited Talks, Open Problems
Tagged b-scale, Cohen real, Luzin set, Minimal Walks, Souslin Tree, Square-Brackets Partition Relations
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ASL North American Meeting, March 2017
I gave a plenary talk at the 2017 ASL North American Meeting in Boise, March 2017. Talk Title: The current state of the Souslin problem. Abstract: Recall that the real line is that unique separable, dense linear ordering with no endpoints in … Continue reading
MFO workshop in Set Theory, February 2017
I gave an invited talk at the Set Theory workshop in Obwerwolfach, February 2017. Talk Title: Coloring vs. Chromatic. Abstract: In a joint work with Chris Lambie-Hanson, we study the interaction between compactness for the chromatic number (of graphs) and … Continue reading
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Tagged Chromatic number, coloring number, incompactness, stationary reflection
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Set Theory and its Applications in Topology, September 2016
I gave an invited talk at the Set Theory and its Applications in Topology meeting, Oaxaca, September 11-16, 2016. The talk was on the $\aleph_2$-Souslin problem. If you are interested in seeing the effect of a jet lag, the video is … Continue reading
