𝑜-bounded groups and other topological groups with strong combinatorial properties

DOI10.1090/S0002-9939-05-08034-2zbMath1090.54034arXivmath/0307225MaRDI QIDQ5713210

Boaz Tsaban

Publication date: 12 December 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307225

zbMATH Keywords

selection principles\(\gamma\)-setsLuzin sets\(o\)-bounded groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (14)

Selective covering properties of product spaces ⋮ Selection principles and Sierpinski sets ⋮ Combinatorics of open covers. XI: Menger- and Rothberger-bounded groups ⋮ A coanalytic Menger group that is not $\sigma$-compact ⋮ Squares of Menger-bounded groups ⋮ Selective screenability in topological groups ⋮ A note on unbounded strongly measure zero subgroups of the Baer-Specker group ⋮ Boundedness properties in function spaces ⋮ Linear $\sigma$-additivity and some applications ⋮ The combinatorics of the Baer-Specker group ⋮ The cardinal characteristic for relative \(\gamma \)-sets ⋮ Menger-bounded groups and axioms about filters ⋮ Filter games and pathological subgroups of a countable product of lines ⋮ Some covering properties in topological and uniform spaces

Cites Work

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• An example of a topological group
• Combinatorics of open covers. I: Ramsey theory
• Topological groups close to being \(\sigma\)-compact
• The combinatorics of open covers. II
• Filter games and pathological subgroups of a countable product of lines
• Combinatorial aspects of measure and category
• Some properties of o-bounded and strictly o-bounded groups
• Additivity properties of topological diagonalizations
• Selection principles and covering properties in Topology
• Hereditary topological diagonalizations and the Menger-Hurewicz Conjectures
• Spaces not distinguishing convergences of real-valued functions.

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