Metrizability of sequential topological groups with point-countable 𝑘-networks

DOI10.1090/S0002-9939-98-04139-2zbMath0903.54016OpenAlexW1507906225MaRDI QIDQ4383079

Alexander Y. Shibakov

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04139-2

zbMATH Keywords

sequential space\(k\)-networkFréchet spacesequential order

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Sequential spaces (54D55) Topological groups (topological aspects) (54H11) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (9)

Topological groups with a certain point-countable cover ⋮ No interesting sequential groups ⋮ Topological properties of strict (\textit{LF})-spaces and strong duals of Montel strict (\textit{LF})-spaces ⋮ A note on rectifiable spaces ⋮ Free topological vector spaces ⋮ \(k^*\)-metrizable spaces and their applications ⋮ Countably compact groups and sequential order ⋮ On large sequential groups ⋮ On sequential analytic groups

Cites Work

• Metrizability of topological groups having weak topologies with respect to good covers
• Spaces determined by point-countable covers
• Metrizability and the Frechet-Urysohn Property in Topological Groups
• Sequential group topology on rationals with intermediate sequential order
• A quintuple quotient quest
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