Two-fold theorem on Fréchetness of products

DOI10.1023/A:1022420806729zbMath0949.54010MaRDI QIDQ4515384

Szymon Dolecki, Tsugunori Nogura

Publication date: 13 November 2000

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30495

zbMATH Keywords

sequential spacetransverseproduct spacestrongly Fréchet\(\Phi \)-spacesequentially subtransverse

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 (4)

Compatible relations on filters and stability of local topological properties under supremum and product ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3366688 Productively Fr�chet Spaces] ⋮ Precise bounds for the sequential order of products of some Fréchet topologies ⋮ Productively Fréchet spaces

Cites Work

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• The product of \(<\alpha _ i>\)-spaces
• Fréchetness of inverse limits and products
• The product of a Fréchet space and a metrizable space
• Subsets of \({}^ \omega\omega\) and the Fréchet-Urysohn and \(\alpha_ i\)-properties
• Precise bounds for the sequential order of products of some Fréchet topologies
• A note on closed maps and compact sets
• Products of Sequential Spaces
• A quintuple quotient quest

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