Reflection principle characterizing groups in which unconditionally closed sets are algebraic

DOI10.1515/JGT.2008.025zbMath1167.22001arXivmath/0703304MaRDI QIDQ3519066

Dikran Dikranjan, Dmitrij B. Shakhmatov

Publication date: 13 August 2008

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703304

Mathematics Subject Classification ID

Structure of general topological groups (22A05)

Related Items (14)

Quotients of locally minimal groups ⋮ Topological groups with many small subgroups ⋮ Zariski topology and Markov topology on groups ⋮ The Markov-Zariski topology of an abelian group ⋮ A complete solution of Markov's problem on connected group topologies ⋮ Categorically closed countable semigroups ⋮ Groups with cofinite Zariski topology and potential density ⋮ Absolutely closed semigroups ⋮ A Kronecker-Weyl theorem for subsets of Abelian groups. ⋮ Algebraically determined topologies on permutation groups. ⋮ The Markov and Zariski topologies of some linear groups ⋮ Topologizations of a set endowed with an action of a monoid ⋮ Characterizing sequences for precompact group topologies ⋮ Mackey groups and Mackey topologies

Cites Work

• Infinite Abelian groups, Whitehead problem and some constructions
• The verbal topology of a group
• Nondiscrete topological groups with many discrete subgroups
• Independent group topologies on abelian groups
• TOPOLOGICAL GROUP STRUCTURES OF INFINITE SYMMETRIC GROUPS
• The number of non-solutions of an equation in a group

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