Detecting Cohomologically Stable Mappings

DOI10.2307/2043609zbMath0518.55002OpenAlexW4234115278MaRDI QIDQ3667610

Philip L. Bowers

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043609

zbMATH Keywords

covering dimensioncohomological dimensionEilenberg-MacLane spacestable mappingcohomologically stable mapcone of n-sphereintersections of separators of opposite faces of the Hilbert cube

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Dimension theory in algebraic topology (55M10) Topology of infinite-dimensional manifolds (57N20)

Related Items (2)

Stable Maps into the Hilbert Cube ⋮ Determining the Cohomological Dimension of Certain Compacta

Cites Work

• A class of spaces with infinite cohomological dimension
• Infinite dimensional compacta containing no \(n\)-dimensional \((n \geq 1)\) subsets
• New dimension-theory techniques for constructing infinite-dimensional examples
• An Infinite-Dimensional Compactum with no Positive-Dimensional Compact Subsets-A Simpler Construction
• Each Strongly Infinite-Dimensional Compactum Contains a Hereditarily Infinite-Dimensional Compact Subset
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