On isometric embeddings of compact metric spaces of a countable dimension

DOI10.1016/j.topol.2013.04.021zbMath1283.54016OpenAlexW1982993695MaRDI QIDQ388027

Stavros Iliadis, Inderasan Naidoo

Publication date: 18 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.topol.2013.04.021

zbMATH Keywords

embeddingisometric embeddingseparable complete metric spacetransfinite small inductive dimension

Mathematics Subject Classification ID

Compact (locally compact) metric spaces (54E45) Dimension theory in general topology (54F45) Embedding (54C25) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (8)

Isometric embeddings of finite metric spaces ⋮ Mappings and isometries of compact metric spaces ⋮ Note on isometric universality and dimension ⋮ Homotopy and universality ⋮ (Isometric) universality and actions of spaces, continuously containing topological groups ⋮ On isometric embeddings of separable metric spaces ⋮ On sheaves of Abelian groups and universality ⋮ Unnamed Item

Cites Work

• A separable complete metric space of dimension \(n\) containing isometrically all compact metric spaces of dimension \(n\)
• Countable Dimensional Universal Sets
• On the countable sum of zero-dimensional metric spaces
• A universal separable metric locally finite-dimensional space
• On universal spaces for certain classes of infinite dimensional spaces
• Unnamed Item
• Unnamed Item

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