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very good scale Universal Sequences stick coloring number Rado's conjecture O-space Club Guessing Small forcing Intersection model ccc Filter reflection specializable Souslin tree Fast club Subtle tree property Almost-disjoint family Cohen real xbox ZFC construction Chromatic number Ineffable cardinal Antichain Ostaszewski square S-Space Subtle cardinal Minimal Walks Constructible Universe weak square Sakurai's Bell inequality Postprocessing function 54G20 higher Baire space Interval topology on trees Countryman line Dushnik-Miller Uniformly homogeneous OCA Ramsey theory over partitions Foundations Nonspecial tree GMA strongly bounded groups sap Commutative cancellative semigroups Lipschitz reduction full tree Reflecting stationary set Uniformization Axiom R Large Cardinals free Souslin tree unbounded function transformations Iterated forcing diamond star Knaster Subadditive Commutative projection system middle diamond Forcing Successor of Singular Cardinal Souslin Tree Diamond-sharp Knaster and friends projective Boolean algebra Jonsson cardinal Absoluteness Ascending path indecomposable filter Generalized descriptive set theory Monotonically far Kurepa Hypothesis Partition Relations incompactness positive partition relation Entangled linear order Reduced Power HOD Microscopic Approach Open Access Well-behaved magma Cardinal function Respecting tree Analytic sets C-sequence club_AD Prikry-type forcing Local Club Condensation. Greatly Mahlo Coherent tree Precaliber square Strong coloring Diamond Weakly compact cardinal Partition relations for trees Dowker space Diamond for trees Martin's Axiom Subnormal ideal weak diamond Generalized Clubs P-Ideal Dichotomy L-space Cardinal Invariants regressive Souslin tree tensor product graph reflection principles Strongly compact cardinal Square-Brackets Partition Relations Singular cardinals combinatorics PFA(S)[S] b-scale Sigma-Prikry Forcing Axioms SNR Chang's conjecture Erdos-Hajnal graphs Whitehead Problem Rainbow sets Ulam matrix Prevalent singular cardinals Almost Souslin Forcing with side conditions super-Souslin tree Ascent Path Sierpinski's onto mapping principle nonmeager set approachability ideal Erdos Cardinal stationary reflection Strongly Luzin set Almost countably chromatic Was Ulam right? Non-saturation Mandelbrot set Rock n' Roll Selective Ultrafilter Fodor-type reflection PFA Vanishing levels Hedetniemi's conjecture polarized partition relation square principles Fat stationary set free Boolean algebra Poset Shelah's Strong Hypothesis AIM forcing Hindman's Theorem perfectly normal Hereditarily Lindelöf space Closed coloring Parameterized proxy principle Successor of Regular Cardinal Amenable C-sequence Distributive tree Aronszajn tree weak Kurepa tree Slim tree Singular cofinality Singular Density Luzin set Uniformly coherent stationary hitting countably metacompact
Category Archives: Invited Talks
MFO workshop in Set Theory, January 2022
I gave an invited talk at the Set Theory meeting in Obwerwolfach, January 2022. Talk Title: A dual of Juhasz’ question Abstract: Juhasz asked whether $\clubsuit$ implies the existence of a Souslin tree. Here we settle the dual problem of … Continue reading
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Tagged club_AD, Dowker space
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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
Posted in Invited Talks
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
Posted in Invited Talks
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
Posted in Invited Talks
Tagged Chromatic number, coloring number, incompactness, stationary reflection
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