Countable tightness and the Grothendieck property in \(C_p\)-theory

DOI10.1016/J.TOPOL.2022.108299OpenAlexW4306804782MaRDI QIDQ2105061

Franklin D. Tall

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/2007.08579

zbMATH Keywords

PFAcountable tightnessGrothendieck property\(C_p(X)\)LindelöfSurlindelöf

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Counterexamples in general topology (54G20) Consistency and independence results in general topology (54A35)

Cites Work

• Some properties of C(X). I
• Embeddings in \(C_p\)-spaces
• On a theorem of Grothendieck in \(C_ p\)-theory
• Weak topology of spaces of continuous functions
• On Lindelöf sets of continuous functions
• Model theory for \(\mathsf{C}_{\mathsf{p}}\)-theorists
• A \(C_p\)-theory problem book. Compactness in function spaces
• Between Martin's Axiom and Souslin's Hypothesis
• Hereditary m-separability and the hereditary m-Lindelöf property in product spaces and function spaces
• Partition Problems in Topology
• Criteres de Compacite dans les Espaces Fonctionnels Generaux
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