Estimates of the cohomological dimension of decomposition spaces

DOI10.1016/0166-8641(91)90106-VzbMath0789.55001MaRDI QIDQ1187109

John J. Walsh, Jerzy Dydak

Publication date: 28 June 1992

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

zbMATH Keywords

dimensioncohomological dimensionproper maprank of cohomology group

Mathematics Subject Classification ID

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

Related Items (6)

Cohomological Dimension and Metrizable Spaces ⋮ Cohomological dimension and metrizable spaces. II ⋮ Union Theorem for Cohomological Dimension: A Simple Counterexample ⋮ Spaces with finitely generated cohomology ⋮ Extension theory of separable metrizable spaces with applications to dimension theory ⋮ Cohomology fibrations

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• Decompositions into submanifolds that yield generalized manifolds
• Spaces of the same n-type, for all n
• On axiomatic homology theory
• The Vietoris mapping theorem for bicompact spaces
• A Generalization of the Vietoris-Begle Theorem
• Compacta with the shape finite complexes

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