Topological groups without infinite precompact continuous homomorphic images

DOI10.1016/j.topol.2020.107544zbMath1479.22004OpenAlexW3113018957WikidataQ123007396 ScholiaQ123007396MaRDI QIDQ820703

Víctor Hugo Yañez

Publication date: 27 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107544

zbMATH Keywords

Bohr topologyBohr compactificationprecompact groupMAP groupmaximally almost periodiccategorical reflectionminimal almost periodicvon Neumann kernel

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

Related Items (2)

Group topologies making every continuous homomorphic image to a compact group connected ⋮ Continuous homomorphic images to point-separating classes of topological groups

Cites Work

• Unnamed Item
• Finitely generated subgroups as von Neumann radicals of an abelian group
• Characterization of almost maximally almost-periodic groups
• A complete solution of Markov's problem on connected group topologies
• Topological groups and related structures
• Group-valued continuous functions with the topology of pointwise convergence
• Relating a locally compact Abelian group to its Bohr compactification

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