On group topologies and idempotents in weak almost periodic compactifications

DOI10.1007/BF02573269zbMath0689.22003MaRDI QIDQ581677

Wolfgang A. F. Ruppert

Publication date: 1990

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135021

zbMATH Keywords

Galois connectionabelian groupCauchy filterweakly almost periodic compactificationgroup topologiescoset morphismlattice of idempotentsweakly almost periodic topologies

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Structure of topological semigroups (22A15) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Topological methods for abelian groups (20K45)

Related Items (2)

Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups ⋮ Weakly almost periodic topologies, idempotents and ideals

Cites Work

• Compact semitopological semigroups: An intrinsic theory
• On the definition of almost periodicity
• The Number of T 2 -Precompact Group Topologies on Free Groups
• Construction of group topologies on abelian groups
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