Refining connected topological group topologies on Abelian torsion groups

DOI10.1016/S0166-8641(97)00084-9zbMath0930.54030OpenAlexW2088533386MaRDI QIDQ1295327

Luis Miguel Villegas Silva, Mikhail G. Tkachenko

Publication date: 26 July 1999

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00084-9

zbMATH Keywords

refinementseparable topological groupconnected group topology

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Connected and locally connected spaces (general aspects) (54D05)

Related Items (2)

A Note on Representable Group Topologies ⋮ Continuity properties of discontinuous homomorphisms and refinements of group topologies

Cites Work

• Some topological groups with, and some without, proper dense subgroups
• Pseudocompact refinements of compact group topologies
• On countably compact topologies on compact groups and on dyadic compacta
• Refining connected topological group topologies on Abelian torsion-free groups
• Pseudocompactness and uniform continuity in topological groups
• The Product of Two Countably Compact Topological Groups
• Proper Pseudocompact Extensions of Compact Abelian Group Topologies
• Connected and disconnected plane sets and the functional equation 𝑓(𝑥)+𝑓(𝑦)=𝑓(𝑥+𝑦)
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