Cell-like maps onto non-compact spaces of finite cohomological dimension

DOI10.1016/0166-8641(87)90088-5zbMath0646.54038OpenAlexW2045515043MaRDI QIDQ1103909

Philip J. Schapiro, Leonhard R. Rubin

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90088-5

zbMATH Keywords

covering dimensioncompletionscell-like imagecell-like mapsfinite integral cohomological dimension

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Baire category, Baire spaces (54E52) Dimension theory in general topology (54F45) Spectra in general topology (54B35) Dimension theory in algebraic topology (55M10)

Related Items (16)

Cell-like resolutions in the strongly countable \(\mathbb Z\)-dimensional case ⋮ On the topological dimension of the Gromov boundaries of some hyperbolic \(\mathrm{Out}(F_N)\)-graphs ⋮ On classes of maps which preserve finitisticness ⋮ On irreducible mappings into polyhedra ⋮ Universal separable metrizable spaces of given cohomological dimension ⋮ Factorization theorems for cohomological dimension ⋮ Irreducible Representations of Normal Spaces ⋮ On Borel mappings and \(\sigma\)-ideals generated by closed sets ⋮ General homology and cohomology theories. Current state and typical applications ⋮ Cohomological dimension and metrizable spaces. II ⋮ Estimates of the cohomological dimension of decomposition spaces ⋮ Characterizing cohomological dimension: The cohomological dimension of \(A \cup{} B\) ⋮ Completion Theorem for Cohomological Dimensions ⋮ Bockstein basis and resolution theorems in extension theory ⋮ Universal Cell-Like Maps ⋮ Resolutions for metrizable compacta in extension theory

Cites Work

• Resolutions of spaces and proper inverse systems in shape theory
• On shapes of topological spaces
• Simplicial Spaces, Nuclei and m -Groups
• Mapping Theorems for Non-Compact Spaces
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