A counterexample for a problem of Arkhangel'skij concerning the product of Fréchet spaces

DOI10.1016/0166-8641(87)90076-9zbMath0602.54038OpenAlexW2015743883WikidataQ124822185 ScholiaQ124822185MaRDI QIDQ1081880

Tsugunori Nogura

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90076-9

zbMATH Keywords

strongly Fréchet space\(<\alpha _ i>\)-spacecountably compact regular Fréchet space

Mathematics Subject Classification ID

Sequential spaces (54D55) Product spaces in general topology (54B10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Counterexamples in general topology (54G20)

Related Items (7)

Products of sequential convergence properties ⋮ Subsets of \({}^ \omega\omega\) and the Fréchet-Urysohn and \(\alpha_ i\)-properties ⋮ Workshop lecture on products of Fréchet spaces ⋮ Note on pointwise convergence of sequences of analytic sets ⋮ 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] ⋮ Productively Fréchet spaces

Cites Work

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• The product of \(<\alpha _ i>\)-spaces
• Fréchetness of inverse limits and products
• Infinite games and generalizations of first-countable spaces
• Bi-quotient maps, countably bi-sequential spaces and related topics
• Sequence-covering and countably bi-quotient mappings
• A quintuple quotient quest

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