Relating a locally compact Abelian group to its Bohr compactification

DOI10.1006/aima.1996.0042zbMath0863.22004OpenAlexW2029947989MaRDI QIDQ1920457

F. Javier Trigos-Arrieta, Salvador Hernández, W. Wistar Comfort

Publication date: 28 May 1997

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1996.0042

zbMATH Keywords

locally compact Abelian groupBohr compactificationWeil completionreal-compact

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) General properties and structure of LCA groups (22B05)

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Topological groups without infinite precompact continuous homomorphic images ⋮ Group topologies making every continuous homomorphic image to a compact group connected ⋮ Transmission of continuity to the Bohr topology ⋮ Precompact Abelian groups and topological annihilators ⋮ The torsion Bohr topology for Abelian groups. ⋮ The gentle, generous giant tampering with dense subgroups of topological groups ⋮ Contributions to the Bohr topology by W.W. Comfort ⋮ Continuous homomorphic images to point-separating classes of topological groups ⋮ Completeness properties of locally quasi-convex groups ⋮ Cross sections and homeomorphism classes of Abelian groups equipped with the Bohr topology ⋮ A property of Dunford-Pettis type in topological groups ⋮ The weak compactification of locally compact groups ⋮ The dimension of an LCA group in its Bohr topology ⋮ Provisional solution to a Comfort--van Mill problem

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