Archives
Keywords
Luzin set Small forcing Selective Ultrafilter Closed coloring S-Space SNR Vanishing levels GMA AIM forcing Analytic sets Partition Relations very good scale Rock n' Roll approachability ideal Parameterized proxy principle full tree unbounded function Subadditive tensor product graph countably metacompact Square-Brackets Partition Relations Forcing Axioms Hedetniemi's conjecture Sigma-Prikry diamond star Local Club Condensation. Ineffable cardinal Lipschitz reduction polarized partition relation Was Ulam right ccc Diamond Erdos-Hajnal graphs nonmeager set PFA(S)[S] Almost-disjoint family Open Access Rainbow sets Shelah's Strong Hypothesis specializable Souslin tree weak square coloring number Minimal Walks Cohen real Mandelbrot set Cardinal function incompactness square principles Subtle tree property Poset Strongly Luzin set Diamond-sharp Ostaszewski square 54G20 Kurepa Hypothesis Uniformly coherent Subtle cardinal Amenable C-sequence xbox Fodor-type reflection stick Uniformly homogeneous Iterated forcing higher Baire space Hereditarily Lindelöf space L-space Diamond for trees Generalized Clubs Nonspecial tree Almost Souslin Sierpinski's onto mapping principle super-Souslin tree Coherent tree Chromatic number Chang's conjecture club_AD strongly bounded groups O-space Axiom R Fat stationary set Dushnik-Miller Ulam matrix b-scale Weakly compact cardinal Filter reflection Almost countably chromatic Hindman's Theorem free Boolean algebra OCA Well-behaved magma Ascent Path stationary reflection Microscopic Approach Universal Sequences Whitehead Problem indecomposable ultrafilter Rado's conjecture Souslin Tree Constructible Universe Prevalent singular cardinals weak diamond Non-saturation Martin's Axiom regressive Souslin tree Fast club Precaliber Ramsey theory over partitions stationary hitting Strong coloring Aronszajn tree weak Kurepa tree Generalized descriptive set theory Slim tree Subnormal ideal Absoluteness HOD C-sequence PFA Knaster Postprocessing function Prikry-type forcing sap Successor of Regular Cardinal Reduced Power Knaster and friends Uniformization ZFC construction Forcing Distributive tree free Souslin tree positive partition relation Successor of Singular Cardinal projective Boolean algebra Cardinal Invariants Greatly Mahlo Reflecting stationary set P-Ideal Dichotomy Sakurai's Bell inequality Singular cardinals combinatorics Club Guessing Foundations Large Cardinals Jonsson cardinal Singular Density reflection principles Singular cofinality transformations Antichain Erdos Cardinal Dowker space middle diamond Commutative cancellative semigroups square
Category Archives: Invited Talks
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
4 Comments
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
Leave a comment
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
P.O.I. Workshop in pure and descriptive set theory, September 2015
I gave an invited talk at the P.O.I Workshop in pure and descriptive set theory, Torino, September 26, 2015. Title: $\aleph_3$-trees. Abstract: We inspect the constructions of four quite different $\aleph_3$-Souslin trees.
The Apter-Gitik birthday conference, May 2015
I give an invited (blackboard) talk at the Apter-Gitik birthday conference, Carnegie Mellon University, May 30-31 2015. Title: Putting a diamond inside the square. Abstract: By a 35-year-old theorem of Shelah, $\square_\lambda+\diamondsuit(\lambda^+)$ does not imply square-with-built-in-diamond_lambda for regular uncountable cardinals … Continue reading
Posted in Invited Talks
Leave a comment
Forcing and its Applications Retrospective Workshop, April 2015
I gave an invited talk at Forcing and its Applications Retrospective Workshop, Toronto, April 1st, 2015. Title: A microscopic approach to Souslin trees constructions Abstract: We present an approach to construct $\kappa$-Souslin trees that is insensitive to the identity of … Continue reading
Posted in Invited Talks
Tagged Microscopic Approach, Parameterized proxy principle, Souslin Tree
Leave a comment
INFTY Final Conference, March 2014
I gave an invited talk at the INFTY Final Conference meeting, Bonn, March 4-7, 2014. [Curiosity: Georg Cantor was born March 3, 1845] Title: Same Graph, Different Universe. Abstract: In a paper from 1998, answering a question of Hajnal, Soukup … Continue reading
MFO workshop in Set Theory, January 2014
I gave an invited talk at the Set Theory workshop in Obwerwolfach, January 2014. Talk Title: Complicated Colorings. Abstract: If $\lambda,\kappa$ are regular cardinals, $\lambda>\kappa^+$, and $E^{\lambda}_{\ge\kappa}$ admits a nonreflecting stationary set, then $\text{Pr}_1(\lambda,\lambda,\lambda,\kappa)$ holds. Downloads: