Characterizing cohomological dimension: The cohomological dimension of \(A \cup{} B\)

DOI10.1016/0166-8641(91)90108-XzbMath0773.55002OpenAlexW2077381604MaRDI QIDQ1187112

Leonhard R. Rubin

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0166-8641(91)90108-x

zbMATH Keywords

cohomological dimensionEilenberg-MacLane complexmetrizable spacesMenger-Urysohn sum formula

Mathematics Subject Classification ID

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

Related Items (15)

Cell-like resolutions in the strongly countable \(\mathbb Z\)-dimensional case ⋮ Cohomological Dimension and Metrizable Spaces ⋮ Cohomological dimension of Tychonov spaces ⋮ On Borel mappings and \(\sigma\)-ideals generated by closed sets ⋮ Open problems in topology. ⋮ COHOMOLOGICAL DIMENSION OF UNIFORM SPACES ⋮ Cohomological dimension and metrizable spaces. II ⋮ Estimates of the cohomological dimension of decomposition spaces ⋮ Spaces Without Cohomological Dimension Preserving Compactifications ⋮ Dimension of maps, universal spaces, and homotopy ⋮ Union Theorem for Cohomological Dimension: A Simple Counterexample ⋮ Some estimates of the inductive dimensions of the union of two sets ⋮ Universal metric spaces and extension dimension ⋮ Extension theory of separable metrizable spaces with applications to dimension theory ⋮ Some mapping theorems for extensional dimension

Cites Work

• Note on an absolute neighborhood extensor for metric spaces
• Approximate inverse systems of compacta and covering dimension
• Cell-like maps onto non-compact spaces of finite cohomological dimension
• Factorization theorems for cohomological dimension
• Cell-Like Mappings and Nonmetrizable Compacta of Finite Cohomological Dimension
• Irreducible Representations of Normal Spaces
• HOMOLOGICAL DIMENSION THEORY
• Mapping Theorems for Non-Compact Spaces
• Combinatorial homotopy. I
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