Metrizability of topological groups having weak topologies with respect to good covers

DOI10.1016/0166-8641(93)90062-IzbMath0808.54026WikidataQ126470211 ScholiaQ126470211MaRDI QIDQ1314678

Yoshio Tanaka, Tsugunori Nogura, Dmitrij B. Shakhmatov

Publication date: 16 March 1995

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

zbMATH Keywords

sequential spaceweak topologyFréchet spacemetrizablefirst countable spaces\(\alpha_ 4\)-spacebisequential spaces

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Metric spaces, metrizability (54E35) Sequential spaces (54D55) Topological groups (topological aspects) (54H11) Compact (locally compact) metric spaces (54E45) Subspaces in general topology (54B05) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (8)

A note on the Arens' space and sequential fan ⋮ Weak countability axioms of coset spaces ⋮ Sequential group topology on rationals with intermediate sequential order ⋮ Recent progress of general topology in Japan ⋮ Metrizability of sequential topological groups with point-countable 𝑘-networks ⋮ Generalized metric spaces with algebraic structures ⋮ Countable Fréchet topological groups under CH ⋮ Metrizability of decomposition spaces of metric spaces

Cites Work

• Continuous selections. I
• On biradial topological spaces and groups
• The product of \(<\alpha _ i>\)-spaces
• Spaces which contain a copy of \(S_{\omega}\) or \(S_ 2\) and their applications
• Spaces determined by point-countable covers
• Ordinal invariants for topological spaces
• Metrizabillity of certain quotient space
• Metrizability and the Frechet-Urysohn Property in Topological Groups
• Sequence-covering and countably bi-quotient mappings
• A quintuple quotient quest
• Note on Convergence in Topology
• On spaces having the weak topology with respect to closed coverings
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