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THE AUTOMORPHISM GROUP OF THE FRAÏSSÉ LIMIT OF FINITE HEYTING ALGEBRAS

Part of: Abstract harmonic analysis Boolean algebras (Boolean rings) Model theory Distributive lattices Permutation groups

Published online by Cambridge University Press:  07 June 2022

KENTARÔ YAMAMOTO Open the ORCID record for KENTARÔ YAMAMOTO [Opens in a new window]
KENTARÔ YAMAMOTO*
Affiliation:
INSTITUTE OF COMPUTER SCIENCE OF THE CZECH ACADEMY OF SCIENCES POD VODÁRENSKOU VĚŽÍ 271/2 LIBEŇ, 182 00 PRAGUE, CZECH REPUBLIC
*
E-mail: yamamoto@cs.cas.cz
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Abstract

Roelcke non-precompactness, simplicity, and non-amenability of the automorphism group of the Fraïssé limit of finite Heyting algebras are proved among others.

Keywords

small index propertyautomorphism groupsFraïssé limitsHeyting algebrasPolish groups

MSC classification

Primary: 03C15: Denumerable structures
Secondary: 06D20: Heyting algebras 20B27: Infinite automorphism groups 43A07: Means on groups, semigroups, etc.; amenable groups

Information

Type
Article
Information
The Journal of Symbolic Logic , Volume 88 , Issue 3 , September 2023 , pp. 1310 - 1320
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of The Association for Symbolic Logic

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