Absorbing sets in the Hilbert cube related to cohomological dimension

DOI10.1016/S0166-8641(97)00011-4zbMath0915.54028MaRDI QIDQ1371941

Mykhailo Zarichnyi

Publication date: 5 July 1999

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

zbMATH Keywords

cohomological dimensionabsorbing set\(Z\)-set\(\sigma\)-compact space

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Dimension theory in general topology (54F45) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (2)

Open problems in topology. ⋮ Open problems in topology, seventh status report

Cites Work

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• k-dimensional skeletoids in \({\mathbb{R}}^ n\) and the Hilbert cube
• Absorbing systems in infinite-dimensional manifolds
• Universal maps and absorbing sets in the class of countable dimensional spaces
• Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds
• Universal Cell-Like Maps
• HOMOLOGICAL DIMENSION THEORY

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