A sequential property of $\mathsf {C}_p(X)$ and a covering property of Hurewicz

DOI10.1090/S0002-9939-97-03897-5zbMath0881.54038OpenAlexW1549671911MaRDI QIDQ4372344

Marion Scheepers

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03897-5

zbMATH Keywords

Lusin setSierpiński setHurewicz propertyMenger propertycountable strong fan tightnessRothberger property\(\gamma\)-setcountable fan tightness\(S_ 1(\Gamma\Gamma)\)strong Fréchet property

Mathematics Subject Classification ID

Topological spaces with richer structures (54E99)

Related Items (16)

The functional characterizations of the Rothberger and Menger properties ⋮ The sequence selection properties of \(C_p(X)\) ⋮ A functional characterization of the Hurewicz property ⋮ QN-spaces, wQN-spaces and covering properties ⋮ More on Arhangel’skiĭ sheaf amalgamations ⋮ Modifications of sequence selection principles ⋮ The Hurewicz property and the Vietoris hyperspace ⋮ Ideal QN-spaces ⋮ Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations ⋮ On Hurewicz properties. ⋮ Selection principle \(\mathrm{S}_{1}\) and combinatorics of open covers ⋮ Principle \(\mathrm{S}_1(\mathcal{P}, \mathcal{R})\): ideals and functions ⋮ Projective versions of selection principles ⋮ Selective covering properties of product spaces, II: $\gamma $ spaces ⋮ Arhangelskii's $\alpha$-principles and selection games ⋮ On Ohta-Sakai's properties of a topological space

Cites Work

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• Some properties of C(X). I
• Combinatorics of open covers. I: Ramsey theory
• The combinatorics of open covers. II
• [https://portal.mardi4nfdi.de/wiki/Publication:3032970 Property C � � and Function Spaces]
• On the Egoroff Property of Pointwise Convergent Sequences of Functions

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