Universal map of \(\sigma\) onto \(\Sigma\) and absorbing sets in the classes of absolute Borelian and projective finite-dimensional spaces

DOI10.1016/0166-8641(94)00044-1zbMath0845.54024OpenAlexW2167093301MaRDI QIDQ1910702

Mykhailo Zarichnyi

Publication date: 19 May 1996

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

Full work available at URL: https://doi.org/10.1016/0166-8641(94)00044-1

zbMATH Keywords

absorbing set\({\mathcal G}\)-absorbing space\(\omega\)-soft map\(\sigma\)-manifoldabsolute Borelian classstrongly infinite-dimensional space

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Dimension theory in general topology (54F45) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (1)

Open problems in topology.

Cites Work

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• On universal maps and spaces of probability measures with finite support
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• Absolute retracts as factors of normed linear spaces
• Indépendance linéaire et classification topologique des espaces normés
• Sigma-Compact Locally Convex Metric Linear Spaces Universal for Compacta are Homeomorphic

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