On Souslin sets and embeddings in integer-valued function spaces on \(\omega_1\)

DOI10.1016/S0166-8641(97)00058-8zbMath0895.54005MaRDI QIDQ1379778

Roman Pol, J. Chaber, Gary Gruenhage

Publication date: 20 September 1998

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

zbMATH Keywords

Cantor setcovering dimensionclosed embedding\(\Sigma\)-productSouslin setleft-separatedLuzin's constituentsrelatively discrete set

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10) Dimension theory in general topology (54F45) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (6)

Souslin quasi-orders and bi-embeddability of uncountable structures ⋮ On the \(D\)-property of certain products ⋮ Note on countable closed discrete sets in products of natural numbers ⋮ \(C^\ast\) -, \(C\)- and \(P\)-embedded subsets in products and the undecidability of a certain property on \(\mathbb{N}^{\omega_1} \) ⋮ On the Cantor-Bendixson derivative, resolvable ranks, and perfect set theorems of A. H. Stone ⋮ More examples of metric spaces where the inductive dimensions disagree

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