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Antichain perfectly normal Non-saturation Sigma-Prikry OCA Ulam matrix Cardinal function Rainbow sets Subnormal ideal Ineffable cardinal Entangled linear order approachability ideal stationary hitting weak Kurepa tree Poset projective Boolean algebra b-scale Interval topology on trees Weakly compact cardinal Axiom R S-Space Countryman line Well-behaved magma Knaster and friends Successor of Regular Cardinal L-space Hedetniemi's conjecture xbox Whitehead Problem Singular cofinality club_AD Parameterized proxy principle Forcing Successor of Singular Cardinal Reduced Power Selective Ultrafilter transformations Filter reflection stationary reflection nonmeager set Open Access Uniformization weak diamond SNR weak square Coherent tree Hereditarily Lindelöf space Almost Souslin Reflecting stationary set Souslin Tree Small forcing Uniformly coherent ccc Fat stationary set ZFC construction Amenable C-sequence Martin's Axiom Kurepa Hypothesis Absoluteness Ascending path Respecting tree full tree GMA specializable Souslin tree strongly bounded groups coloring number polarized partition relation Forcing with side conditions Mandelbrot set Fast club Generalized descriptive set theory P-Ideal Dichotomy Nonspecial tree Chang's conjecture Dowker space C-sequence diamond star Subadditive Dushnik-Miller Almost-disjoint family Microscopic Approach Large Cardinals Local Club Condensation. AIM forcing Shelah's Strong Hypothesis Partition relations for trees Minimal Walks Prikry-type forcing sap Ramsey theory over partitions Commutative projection system Aronszajn tree Singular cardinals combinatorics unbounded function Subtle tree property Almost countably chromatic Universal Sequences free Boolean algebra Cohen real Closed coloring Postprocessing function Greatly Mahlo incompactness Diamond Slim tree HOD super-Souslin tree Ostaszewski square reflection principles Commutative cancellative semigroups Foundations 54G20 higher Baire space Was Ulam right? Lipschitz reduction PFA(S)[S] regressive Souslin tree Hindman's Theorem Square-Brackets Partition Relations countably metacompact Diamond for trees Club Guessing Precaliber Monotonically far Cardinal Invariants Strong coloring middle diamond Forcing Axioms Ascent Path Singular Density positive partition relation Subtle cardinal Diamond-sharp Fodor-type reflection indecomposable filter PFA very good scale Iterated forcing Partition Relations Constructible Universe Analytic sets tensor product graph Rock n' Roll Jonsson cardinal Chromatic number Uniformly homogeneous Vanishing levels Knaster Rado's conjecture Strongly compact cardinal Sakurai's Bell inequality Sierpinski's onto mapping principle Distributive tree Prevalent singular cardinals square square principles Erdos Cardinal Luzin set stick Generalized Clubs Erdos-Hajnal graphs free Souslin tree Strongly Luzin set Intersection model O-space
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
