Countable Fréchet topological groups under CH

DOI10.1016/S0166-8641(97)00195-8zbMath0945.54019MaRDI QIDQ1292762

Alexander Y. Shibakov

Publication date: 11 October 2000

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

zbMATH Keywords

Frechet space\(\alpha_i\)-space

Mathematics Subject Classification ID

Sequential spaces (54D55) Topological groups (topological aspects) (54H11) Counterexamples in general topology (54G20) Consistency and independence results in general topology (54A35)

Related Items (8)

Topological properties of the group of the null sequences valued in an abelian topological group ⋮ Convergence in topological groups and the Cohen reals ⋮ Convergence preserving mappings on topological groups ⋮ Convergent sequences in topological groups ⋮ Malykhin's problem ⋮ Arhangel’skiĭ sheaf amalgamations in topological groups ⋮ A comparative survey of selected results and open problems concerning topological groups, fields and vector spaces ⋮ Invariant Ideal Axiom

Cites Work

• The product of \(<\alpha _ i>\)-spaces
• The product of a Fréchet space and a metrizable space
• Subsets of \({}^ \omega\omega\) and the Fréchet-Urysohn and \(\alpha_ i\)-properties
• Countable Fréchet \(\alpha_ 1\)-spaces may be first countable
• Metrizability of topological groups having weak topologies with respect to good covers
• Local compactness and Cartesian products of quotient maps and k-spaces
• Products of sequential convergence properties
• Metrizability and the Frechet-Urysohn Property in Topological Groups
• An Example of Two Compact Hausdorff FrÉChet Spaces Whose Product is not Frechet
• Sequential group topology on rationals with intermediate sequential order
• Spaces in which sequences suffice
• A quintuple quotient quest
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