Continuity properties of discontinuous homomorphisms and refinements of group topologies

DOI10.2298/FIL1707183BzbMath1488.54097OpenAlexW2415186874MaRDI QIDQ5155911

No author found.

Publication date: 13 October 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1707183b

zbMATH Keywords

locally precompact groupzero-dimensional groupdiscontinuous homomorphismfiner group topology

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Baire category, Baire spaces (54E52) Locally compact abelian groups (LCA groups) (22B99)

Cites Work

• The maximal totally bounded group topology on G and the biggest minimal G-space, for Abelian groups G
• Topological groups and related structures
• Refining connected topological group topologies on Abelian torsion groups
• On countably compact topologies on compact groups and on dyadic compacta
• Refining connected topological group topologies on Abelian torsion-free groups
• Extremal pseudocompact topological groups
• Topologies in locally compact groups
• Topologies in locally compact groups. II
• Pseudocompact topological group refinements of maximal weight
• Extremal pseudocompact Abelian groups are compact metrizable
• Connected and disconnected plane sets and the functional equation 𝑓(𝑥)+𝑓(𝑦)=𝑓(𝑥+𝑦)
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