The Department of Set Theory, Logic and Topology was formed by merging the former Departments of Set Theory and Algebraic Logic.
Set theory has long been a central area of Hungarian mathematics. Pioneering work by Paul Erdős and András Hajnal established infinite combinatorics as a vibrant field, and their legacy continues to shape our research.
Closely connected to this tradition is the internationally recognized school of set-theoretical topology, founded in Budapest in the 1960s by András Hajnal and István Juhász. In recent decades, largely influenced by scholars trained under Miklós Laczkovich, the department’s scope has expanded to include descriptive set theory, in particular we investigate the theory of universally Baire sets, a central concept in modern set theory.
In the field of logic, building on the work of Hajnal Andréka and István Németi, we apply modern tools of mathematical logic to provide axiomatic foundations and deeper insights into relativity theories, both special and general.
Head of Department:

Soukup Lajos
research professor
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Research group:-
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Research department:Set theory, logic and topology
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Room:fe.22.
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Phone:+3614838309
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Email:soukup.lajos (at) renyi.hu
Employees:

Andréka Hajnal
research professor emeritus
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Research group:-
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Research department:Set theory, logic and topology
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Room:I.9.
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Phone:+36 1 483 8359
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Email:andreka.hajnal (at) renyi.hu

Csernák Tamás
research fellow
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Research group:-
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Research department:Set theory, logic and topology
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Room:fe. 21.
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Phone:+36 1 483 8309
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Email:csernak.tamas (at) renyi.hu

Elekes Márton
research professor
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Research group:-
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Research department:Set theory, logic and topology
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Room:III/12.
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Phone:+36 1 483 8351
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Email:elekes.marton (at) renyi.hu

Erdélyi-Szabó Miklós
senior research fellow
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Research group:-
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Research department:Set theory, logic and topology
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Room:fe.21.
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Phone:1/4838309
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Email:erdelyi-szabo.miklos (at) renyi.hu

Juhász István
research professor emeritus
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Research group:-
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Research department:Set theory, logic and topology
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Room:fe.22.
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Phone:+36 1 483 8309
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Email:juhasz.istvan (at) renyi.hu

Madarász Judit
senior research fellow
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Research group:-
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Research department:Set theory, logic and topology
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Room:III.15.
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Phone:+3614838333
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Email:madarasz.judit (at) renyi.hu

Németi István
research professor emeritus
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Research group:-
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Research department:Set theory, logic and topology
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Room:I.9.
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Phone:+3614838359
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Email:nemeti.istvan (at) renyi.hu

Sági Gábor
senior research fellow
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Research group:-
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Research department:Set theory, logic and topology
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Room:III.8.
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Phone:+3614838344
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Email:sagi.gabor (at) renyi.hu

Székely Gergely
senior research fellow
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Research group:-
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Research department:Set theory, logic and topology
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Room:III.15.
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Phone:+3614838333
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Email:szekely.gergely (at) renyi.hu