Countably compact groups having minimal infinite powers

DOI10.1090/proc/16276OpenAlexW4297475641MaRDI QIDQ5880259

Dikran Dikranjan, Vladimir V. Uspenskij

Publication date: 7 March 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.08488

zbMATH Keywords

measurable cardinalcompact groupminimal grouptotally disconnected groupprecompact groupcountably compact group\(\omega\)-bounded groupconnected groupsequentially complete group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Topological groups (topological aspects) (54H11) ``(P)-minimal and ``(P)-closed spaces (54D25) Categorical methods in general topology (54B30) Consistency and independence results in general topology (54A35) General properties and structure of LCA groups (22B05) Topological fields, rings, etc. (topological aspects) (54H13)

Related Items

Products of locally minimal groups

Cites Work

• On subgroups of minimal topological groups
• On the product of two (totally) minimal topological groups and the three- space-problem
• Complete minimal and totally minimal groups
• Quotients of zero-dimensional precompact abelian groups
• On countably compact topologies on compact groups and on dyadic compacta
• Group representations and construction of minimal topological groups
• Categorically compact topological groups
• Products of minimal abelian groups
• Topological groups and the Pontryagin-van Kampen duality. An introduction
• Minimal topological groups
• On the existence of a finest equivalent linear topology
• Compact-Like Totally Dense Subgroups of Compact Groups
• Pseudocompact and Countably Compact Abelian Groups: Cartesian Products and Minimality
• On the minimality of powers of minimal 𝜔-bounded abelian groups
• Zero-Dimensionality of Some Pseudocompact Groups
• Set Theory
• Sequential completeness of quotient groups
• Sequentially complete groups: Dimension and minimality
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item