On closed mappings of 𝜎-compact spaces and dimension

DOI10.1090/proc/14603zbMath1427.54036arXiv1706.04398OpenAlexW2920821816MaRDI QIDQ5234991

Elżbieta Pol, Roman Pol

Publication date: 7 October 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04398

zbMATH Keywords

Hilbert spaceremaindertransfinite small inductive dimensionclosed mappingEffros Borel space

Mathematics Subject Classification ID

Special maps on metric spaces (54E40) Dimension theory in general topology (54F45) Remainders in general topology (54D40) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Topology of infinite-dimensional manifolds (57N20)

Cites Work

• Examples of cell-like decompositions of the infinite-dimensional manifolds sigma and Sigma
• Boundary sets in the Hilbert cube
• On isometric embeddings and continuous maps onto the irrationals
• \(J\)-spaces
• Fake Boundary Sets in the Hilbert Cube
• A boundary set for the Hilbert cube containing no arcs
• On classification of weakly infinite-dimensional compacta
• Countable Dimensional Universal Sets
• On universal spaces for certain classes of infinite dimensional spaces
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