Sequential order of product of Fréchet spaces

DOI10.1016/0166-8641(95)00099-2zbMath0854.54024OpenAlexW2017603064MaRDI QIDQ1917061

Tsugunori Nogura, Alexander Y. Shibakov

Publication date: 4 September 1996

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

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00099-2

zbMATH Keywords

sequential spacesequential ordersequential closurestrongly Fréchet spaces

Mathematics Subject Classification ID

Sequential spaces (54D55) Pathological topological spaces (54G15) Product spaces in general topology (54B10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) (k)-spaces (54D50)

Related Items (3)

Unnamed Item ⋮ Recent progress of general topology in Japan ⋮ Precise bounds for the sequential order of products of some Fréchet topologies

Cites Work

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• The product of \(<\alpha _ i>\)-spaces
• Fréchetness of inverse limits and products
• Spaces which contain a copy of \(S_{\omega}\) or \(S_ 2\) and their applications
• The product of a Fréchet space and a metrizable space
• Precise bounds for the sequential order of products of some Fréchet topologies
• Sequential order of product spaces
• Ordinal invariants for topological spaces
• Local compactness and Cartesian products of quotient maps and k-spaces
• Products of sequential convergence properties
• Products of Sequential Spaces
• A quintuple quotient quest

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