Cohomological dimension and approximate limits

DOI10.1090/S0002-9939-97-04141-5zbMath0880.54021MaRDI QIDQ4356727

Leonhard R. Rubin

Publication date: 1 October 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

cohomological dimensionapproximate resolutionEilenberg-MacLane complexapproximate inverse system

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Spectra in general topology (54B35) Dimension theory in algebraic topology (55M10)

Related Items (3)

Unbounded sets of maps and compactification in extension theory ⋮ Resolutions for metrizable compacta in extension theory ⋮ The Mardesic factorization theorem for extension theory and c-separation

Cites Work

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• Approximate inverse systems of compacta and covering dimension
• The hyperspaces of infinite-dimensional compacta for covering and cohomological dimension are homeomorphic
• A note on approximate systems of metric compacta
• Cell-Like Mappings and Nonmetrizable Compacta of Finite Cohomological Dimension
• On approximate inverse systems and resolutions
• Numerical Meshes and Covering Meshes of Approximate Inverse Systems of Compacta
• Extension theory of separable metrizable spaces with applications to dimension theory

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