MORE ON FRÉCHET–URYSOHN IDEALS

DOI10.1017/jsl.2021.43OpenAlexW3172812407MaRDI QIDQ5082066

Osvaldo Guzmán González, Salvador García-Ferreira

Publication date: 15 June 2022

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jsl.2021.43

zbMATH Keywords

Rudin-Keisler orderAD familiesFU filers

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Other combinatorial set theory (03E05) Other classical set theory (including functions, relations, and set algebra) (03E20)

Cites Work

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• Comparing Fréchet-Urysohn filters with two pre-orders
• Fréchet--Urysohn for finite sets
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• The hyperspace of convergent sequences
• Subsequential filters
• Subsets of \({}^ \omega\omega\) and the Fréchet-Urysohn and \(\alpha_ i\)-properties
• Fréchet-Urysohn type properties in topological spaces, groups, and locally convex vector spaces
• Analytic \(k\)-spaces
• Malykhin's problem
• The story of a topological game
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• MAD Saturated Families and SANE Player
• Countable Fréchet Boolean groups: An independence result
• A Čech function in ZFC
• Infinite games and generalizations of first-countable spaces
• Categorical properties on the hyperspace of nontrivial convergent sequences
• THE BAIRE CATEGORY OF THE HYPERSPACE OF NONTRIVIAL CONVERGENT SEQUENCES
• Splitting Families and Complete Separability

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