On isometrically universal spaces, mappings, and actions of groups

DOI10.1016/j.topol.2008.03.006zbMath1152.54013OpenAlexW1990171853MaRDI QIDQ935254

Stavros Iliadis

Publication date: 6 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2008.03.006

zbMATH Keywords

isometryuniversal mappingUrysohn universal spaceuniversal action of group

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Embedding (54C25)

Related Items (22)

Mappings and isometries of compact metric spaces ⋮ Factorizing \(\tau \)-spectra of mappings ⋮ Note on isometric universality and dimension ⋮ Around a Hurewicz's formula ⋮ Universal G-spaces for proper actions of locally compact groups ⋮ Linearization of proper actions of locally compact groups on Tychonoff spaces ⋮ A note on hierarchies of Borel type sets ⋮ Homotopy and universality ⋮ (Isometric) universality and actions of spaces, continuously containing topological groups ⋮ The covering dimension invariants ⋮ Base dimension-like functions of the type ind ⋮ On isometrically universal spaces, mappings, and actions of groups ⋮ Universal Borel mappings and Borel actions of groups ⋮ Dimension-like functions and universality ⋮ Cardinal invariants and universality ⋮ Universality on frames ⋮ Universal elements in some classes of mappings and classes of \(G\)-spaces ⋮ On the base dimension I and the property of universality ⋮ Covering dimension d by a normal base ⋮ Positional dimension-like functions of the type Ind ⋮ Dimension-like functions of the type dim and universality ⋮ On sheaves of Abelian groups and universality

Cites Work

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• The Urysohn universal metric space is homeomorphic to a Hilbert space
• On the relation between the metric and topological dimension
• Countable Dimensional Universal Sets
• On the countable sum of zero-dimensional metric spaces
• Isometric embeddings and universality
• Compact and completely bounded metric spaces and isometric embeddings
• A universal separable metric locally finite-dimensional space
• On universal spaces for certain classes of infinite dimensional spaces
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