On cell-like mappings and the dimensional full-valuedness of compacta

DOI10.1007/BF02309158zbMath0890.54026OpenAlexW2078912208MaRDI QIDQ1907413

Yu. V. Lubenets

Publication date: 21 February 1996

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02309158

zbMATH Keywords

cell-like imagedimensionally full-valued compactum

Mathematics Subject Classification ID

Compact (locally compact) metric spaces (54E45) Dimension theory in general topology (54F45) Dimension theory in algebraic topology (55M10) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Cellularity in topological manifolds (57N60)

Cites Work

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• Dimensionally valuable cell-like resolution for \(ANR\)-compacta
• On Δ-spaces and fundamental dimension in the sense of Borsuk
• On a property of the fundamental dimension of UVⁿ-mappings

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