A separable complete metric space of dimension \(n\) containing isometrically all compact metric spaces of dimension \(n\)

DOI10.1016/j.topol.2013.04.020zbMath1282.54013OpenAlexW2039845181MaRDI QIDQ388026

Stavros Iliadis

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.2013.04.020

zbMATH Keywords

embeddingisometric embedding\(n\)-dimensional metric spaceseparable complete metric space

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 ⋮ On isometric embeddings of compact metric spaces of a countable dimension ⋮ Note on isometric universality and dimension ⋮ Homotopy and universality ⋮ On isometric embeddings of separable metric spaces ⋮ On sheaves of Abelian groups and universality ⋮ Unnamed Item

Cites Work

• Spaces Universal under Closed Embeddings for Finite-Dimensional Complete Metric Spaces
• 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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