w-divisible groups

DOI10.1016/j.topol.2007.06.018zbMath1149.22004OpenAlexW2047420161MaRDI QIDQ2469562

Anna Giordano Bruno, Dikran Dikranjan

Publication date: 6 February 2008

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2007.06.018

zbMATH Keywords

Pseudocompact\(\kappa\)-pseudocompactCompact groupTotally dense

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Compact groups (22C05) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items

Topological groups with many small subgroups ⋮ Zariski topology and Markov topology on groups ⋮ Selectively sequentially pseudocompact group topologies on torsion and torsion-free abelian groups ⋮ The gentle, generous giant tampering with dense subgroups of topological groups ⋮ The \(G_{\delta}\)-density nucleus of a compact abelian group ⋮ Pseudocompact group topologies with no infinite compact subsets ⋮ A complete solution of Markov's problem on connected group topologies ⋮ Continuous homomorphic images to point-separating classes of topological groups ⋮ Extremal α-pseudocompact abelian groups ⋮ Categories of coarse groups: quasi-homomorphisms and functorial coarse structures ⋮ Densely locally minimal groups ⋮ A Factorization Theorem for Topological Abelian Groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Forcing hereditarily separable compact-like group topologies on Abelian groups
• Concerning connected, pseudocompact Abelian groups
• Cardinality constraints for pseudocompact and for totally dense subgroups of compact topological groups
• Pseudocompact group topologies and totally dense subgroups
• Topological groups which satisfy an open mapping theorem
• Countably compact groups satisfying the open mapping theorem
• Counting subgroups and topological group topologies
• Connected fields of arbitrary characteristic
• Sur les groupes topologiques localement compacts
• Algebraic structure of pseudocompact groups
• m-Pseudocompactness
• β(X) can be Frechet
• Compact-Like Totally Dense Subgroups of Compact Groups
• On the density of λ-box products
• Pseudocompact totally dense subgroups
• Weakly metrizable pseudocompact groups
• Rings of Real-Valued Continuous Functions. I
• On the basic subgroups of abelianp-groups