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