Countably compact groups and sequential order

DOI10.1016/j.topol.2019.106943zbMath1440.54015arXiv1903.08041OpenAlexW2986833233MaRDI QIDQ2291591

Alexander Y. Shibakov, Dmitrij B. Shakhmatov

Publication date: 31 January 2020

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

Full work available at URL: https://arxiv.org/abs/1903.08041

zbMATH Keywords

sequential spacesequential ordercountably compact topological group

Mathematics Subject Classification ID

Sequential spaces (54D55) Topological groups (topological aspects) (54H11)

Related Items (3)

Convergent sequences in topological groups ⋮ Precompact groups and convergence ⋮ Cardinal invariants and convergence properties of locally minimal groups

Cites Work

• Topological groups and related structures
• Set theory. An introduction to independence proofs
• Topologies on groups determined by compacta
• Sequential order of product spaces
• Malykhin's problem
• No interesting sequential groups
• TOPOLOGIES ON ABELIAN GROUPS
• Metrizability and the Frechet-Urysohn Property in Topological Groups
• Metrizability of sequential topological groups with point-countable 𝑘-networks
• Sequential group topology on rationals with intermediate sequential order
• On large sequential groups
• Spaces in which sequences suffice
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