Cell-Like Mappings and Nonmetrizable Compacta of Finite Cohomological Dimension
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Publication:3475989
DOI10.2307/2001065zbMath0698.54027OpenAlexW4254165405MaRDI QIDQ3475989
Sibe Mardešić, Leonhard R. Rubin
Publication date: 1989
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2001065
covering dimensioncohomological dimensioncompact Hausdorff spacescell-like mapbonding mapsapproximately commutative inverse systemsEdwards-Walsh theorempartially ordered inverse system
Dimension theory in general topology (54F45) Spectra in general topology (54B35) Dimension theory in algebraic topology (55M10)
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Cell-like resolutions in the strongly countable \(\mathbb Z\)-dimensional case ⋮ Approximate inverse systems which admit meshes ⋮ On irreducible mappings into polyhedra ⋮ Extensional maps and approximate inverse limits ⋮ General homology and cohomology theories. Current state and typical applications ⋮ Cohomological dimension and approximate limits ⋮ Characterizing cohomological dimension: The cohomological dimension of \(A \cup{} B\) ⋮ Bockstein basis and resolution theorems in extension theory ⋮ Numerical Meshes and Covering Meshes of Approximate Inverse Systems of Compacta ⋮ Resolutions for metrizable compacta in extension theory ⋮ Alternate proofs for the \(n\)-dimensional resolution theorems
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