On isometric embeddings of separable metric spaces

DOI10.1016/j.topol.2014.08.019zbMath1302.54056OpenAlexW2027982288MaRDI QIDQ465851

Stavros Iliadis

Publication date: 24 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.08.019

zbMATH Keywords

isometric embedding\(f\)-uniform class of spacesisometrically saturated \(\omega\)-saturated classproperty of \(f\)-distancesseaparable metric spaces

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 (4)

Homotopy and universality ⋮ (Isometric) universality and actions of spaces, continuously containing topological groups ⋮ On embeddings of topological groups. II. ⋮ On sheaves of Abelian groups and universality

Cites Work

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• A separable complete metric space of dimension \(n\) containing isometrically all compact metric spaces of dimension \(n\)
• On isometric embeddings of compact metric spaces of a countable dimension
• 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

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