István Juhász is a research professor at the Alfred Renyi Institute of Mathematics, head of the Department of Set-Theory and Topology.
He is a member of the Hungarian Academy of Sciences and vice-president of the European Set-Theory Society.

He did his research on set-theory, mostly concerning problems of set-theoretic topology. He wrote two influential monographs in this field and — together with Andras Hajnal — played a role in building a center for set-theoretic topology in Budapest.

His recent work mainly concerns problems on compact spaces and resolvability.

Personal Website


Recent and upcoming talks by István Juhász

Set Theoretic Methods in Topology and Analysis, Będlewo, September 3-9, 2017

Set Theoretic Methods in Topology and Analysis 03.09.2017 – 09.09.2017 | Będlewo Aims and scope: The purpose of the conference is to bring together well-known specialists and young researchers working in set theory, topology, and their applications in other branches of mathematics, including algebra and functional analysis. continue reading…

Set Theory and its Applications in Topology, September 11-16, 2016

The meeting took place in Oaxaca, Mexico. The slides may be found below. 08:45 – 09:00 Introduction and Welcome (Conference Room San Felipe) 09:00 – 10:00 Alan Dow: The even numbered problems (Conference Room San Felipe) 10:00 – 10:30 Rodrigo Jesus Hernandez Gutierrez: Spaces discretely generated at infinity (Conference Room San Felipe) 10:30 – 11:00 Coffee Break (Conference Room San Felipe) 11:00 – 11:30 Isván Juhász: Lindelöf spaces of countable pseudocharacter (Conference Room San Felipe) 11:30 – 12:00 Juris Steprans: PID and universal graphs (Conference Room San Felipe) 13:20 – 13:30 Group Photo (Hotel Hacienda Los Laureles) 13:30 – 15:00 Lunch (Restaurant Hotel Hacienda Los Laureles) 15:00 – 16:00 Itay Neeman: Forcing one instance of the Moore-Todorcevic principle (Conference Room San Felipe) 16:00 – 16:30 Coffee Break (Conference Room San Felipe) 16:30 – 17:00 James Cummings: Dowker and super-Dowker filters (Conference Room San Felipe) 17:00 – 17:30 Assaf Rinot: The $\omega_2$-Souslin problem (Conference Room San Felipe) 19:00 – 21:00 Dinner (Restaurant Hotel Hacienda Los Laureles) Tuesday, September 13 07:30 – 09:00 Breakfast (Restaurant at your assigned hotel) 09:00 – 10:00 Christina Brech: Bases of Homogeneous families bellow the first Mahlo cardinal (Conference Room San Felipe) 10:30 – 11:00 Coffee Break (Conference Room San Felipe) 11:00 – 11:30 Piotr Koszmider: A non-commutative Mrówka’s $\Psi$-space (Conference Room San Felipe) 11:30 – 12:00 Asger Tornquist: Invariant descriptive set theory and almost disjointness modulo an ideal (Conference Room San Felipe) 13:30 – 15:00 Lunch (Restaurant Hotel Hacienda Los Laureles) 15:00 – 16:00 Alexander Shibakov: Sequential groups: large and small (Conference Room San Felipe) 16:00 – 16:30 Coffee Break (Conference Room San Felipe) 16:30 – 17:00 Jindrich Zapletal: Strong measure zero sets in Polish groups (Conference Room San Felipe) 17:00 – 17:30 Marcin Sabok: On hyperfiniteness of boundary actions of hyperbolic groups (Conference Room San Felipe) 19:00 – 21:00 Dinner (Restaurant Hotel Hacienda Los Laureles) Wednesday, September 14 07:30 – 09:00 Breakfast (Restaurant at your assigned hotel) 09:00 – 09:30 Joerg Brendle: Q (Conference Room San Felipe) 09:30 – 10:00 Dilip Raghavan: More on the density zero ideal (Conference Room San Felipe) 10:00 – 10:30 Osvaldo Guzmán: Combinatorial properties of MAD families (Conference Room San Felipe) 10:30 – 11:00 Coffee Break (Conference Room San Felipe) 11:00 – 11:30 Victor Torres-Perez: Constructions with oppositions: Cardinal invariants and games (Conference Room San Felipe) 11:30 – 12:00 David Fernández Bretón: Strong failures of higher analogs of Hindman’s theorem (Conference Room San Felipe) 12:00 – 12:30 Natasha Dobrinen: Topological Ramsey spaces in some creature forcings (Conference Room San Felipe) 12:30 – 13:30 Lunch (Restaurant Hotel Hacienda Los Laureles) 13:30 – 17:30 Free Afternoon (Oaxaca) 19:00 – 21:00 Dinner (Restaurant Hotel Hacienda Los Laureles) Thursday, September 15 07:30 – 09:00 Breakfast (Restaurant at your assigned hotel) 09:00 – 10:00 Slawomir Solecki: Monoid actions on left-topological compact semigroups (Conference Room San Felipe) 10:30 – 11:00 Coffee Break (Conference Room San Felipe) 11:00 – 11:30 Aleksandra Kwiatkowska: The Ramsey degree of the pre-pseudoarc (Conference Room San Felipe) 11:30 – 12:00 Dana Bartosova: Ultrafilter combinatorics in topological dynamics (Conference Room San Felipe) 13:30 – 15:00 Lunch (Restaurant Hotel Hacienda Los Laureles) 15:00 – 16:00 Jan van Mill: Erdős spaces (Conference Room San Felipe) 16:00 – 16:30 Coffee Break (Conference Room San Felipe) 16:30 – 17:00 Anush Tserunyan: Topological dimension and Baire category (Conference Room San Felipe) 17:00 – 17:30 Yinhe Peng: Weak network and the basis problem (Conference Room San Felipe) 19:00 – 21:00 Dinner (Restaurant Hotel Hacienda Los Laureles) Friday, September 16 07:30 – 09:00 Breakfast (Restaurant at your assigned hotel) 09:00 – 09:30 Jeffrey Bergfalk: Walks… (Conference Room San Felipe) 09:30 – 10:00 Iian Smythe: A local Ramsey theory for block sequences (Conference Room San Felipe) 10:00 – 10:30 Noé de Rancourt: Ramsey theory with and without the pigeonhole principle (Conference Room San Felipe) 10:30 – 11:00 Coffee Break (Conference Room San Felipe) 11:00 – 11:30 Claribet Piña: Topological partition relations for $\omega^2$ (Conference Room San Felipe) 11:30 – 12:00 Carlos Uzcategui: Bases and selectors for cofinal families of countable sets (Conference Room San Felipe) 12:00 – 12:30 Carlos Di Prisco: Graphs on the Cantor set (Conference Room San Felipe) 12:30 – 14:30 Lunch (Restaurant Hotel Hacienda Los Laureles)   continue reading…

The Role of the Higher Infinite in Mathematics and Other Disciplines, December 14-18 2015

Workshop Theme The objective of the programme Mathematical, Foundational and Computational Aspects of the Higher Infinite is to stimulate the exchange of ideas among researchers pursuing different approaches to infinity: mathematical, foundational, and computational. continue reading…

Double Session at Fields Institute (Antonio Aviles and Istvan Juhasz)

Place: Fields Institute (Stewart Library) Date and time:  28-11-2014 from 12:30 to 15:00 Speaker 1: Antonio Aviles  (12:30-13:30) Title: A combinatorial lemma about cardinals $\aleph_n$ and its applications on Banach spaces Abstract: The lemma mentioned in the title was used by Enflo and Rosenthal to show that the Banach space $L_p[0,1]^\Gamma$ does not have an unconditional basis when $|\Gamma|\geq \aleph_\omega$. continue reading…

Novi Sad Conference in Set Theory and General Topology, August 18-21, 2014

The SETTOP 2014 conference will take place August 18-21 in Novi Sad, Serbia. http://www.dmi.uns.ac.rs/settop/ Topics: Set Theory Model Theory General Topology Invited speakers: Dana Bartošová (Sao Paolo) Piotr Borodulin-Nadzieja (Wroclaw) Jan van Mill (Amsterdam) Justin Moore (Ithaca, NY) Stevo Todorčević (Paris – Toronto) Scientific Committee: Joan Bagaria (Barcelona) Mirna Džamonja (Norwich) Sy Friedman (Vienna) István Juhász (Budapest) Miloš Kurilić (Novi Sad) continue reading…

Alan Dow Conference, December 6–9, 2014

60 years of Dow celebrating the mathematics of Alan Dow December 6–9, 2014 Alan Dow has made deep contributions to set-theoretic topology and has been one of few researchers to pioneer new techniques in set theory which were directly motivated by fundamental topological problems. continue reading…

Brazilian Conference on General Topology and Set Theory, August 12-16 2013

Set Theory and General Topology Week (STW 2013) In honour of Prof. Ofelia Alas, on the occasion of her 70th birthday. August 12-16, 2013 Sao Sebastiao, Sao Paulo, Brazil Mathematics Host: Beach Hotel Maresias Email: stw2013saopaulo@gmail.com Confirmed invited speakers: · Angelo Bella (Università di Catania, Italy) · Carlos Di Prisco (Instituto Venezolano de Investigaciones Científicas, Venezuela) · Salvador García-Ferreira (Universidad Nacional Autónoma de México, Mexico) · István Juhász (Rényi Alfréd Matematikai Kutatóintézet, Hungary) · Manuel Sanchis (Universitat Jaume I, Spain) · Franklin D. continue reading…

István Juhász: Resolvability

19/October/2012, 13:30–15:00 Fields institute,Room 230 Speaker: István Juhász (Rényi Institute) Title: Resolvability Abstract: Let $\kappa$ be a (finite or infinite) cardinal number. A topological space $X$ is said to be $\kappa$-resolvable (resp. continue reading…

Mathematical Logic and General Topology, September 5-8, 2012

50 Years of Seminar for Analysis and Foundations of Mathematics, Novi Sad led by Academician Bogoljub Stanković Mathematical Logic and General Topology Invited lectures Joan Bagaria (ICREA, University of Barcelona, Spain) Natasha Dobrinen (University of Denver, USA) Mirna Džamonja (University of East Anglia, UK) Sy Friedman (tentative) (Kurt Gödel Research Center for Mathematical Logic, University of Vienna, Austria) István Juhász (Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary) Jordi López-Abad (Université Denis-Diderot Paris 7, France) Predrag Tanović (Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia) continue reading…

Istvan Juhasz: Resolvability

March 29, 2012, 17:30 Salón 8, Centro de Ciencias Matemáticas, UNAM Speaker: Istvan Juhasz (Alfred Renyi Institute of Mathematics, Hungary) Title: Resolvability continue reading…