Homological Embedding Properties of the Fibers of a Map and the Dimension of its Image

DOI10.2307/2043297zbMath0488.55001OpenAlexW4240352218MaRDI QIDQ3949679

John J. Walsh

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043297

zbMATH Keywords

Hilbert cubeMayer-Vietoris sequenceabsolute neighborhood retractZ-setdimension lowering maps defined on manifolds without boundarydimension of image of a proper map defined on Hilbert spacehomological codimension of point inverses

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Dimension theory in general topology (54F45) Dimension theory in algebraic topology (55M10) ?ech types (55N05) Topology of infinite-dimensional manifolds (57N20)

Related Items

Examples of cell-like decompositions of the infinite-dimensional manifolds sigma and Sigma

Cites Work

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• Detecting the disjoint disks property
• Cech Homology Characterizations of Infinite Dimensional Manifolds
• Topological Properties of the Hilbert Cube and the Infinite Product of Open Intervals
• Dense Sigma-Compact Subsets of Infinite-Dimensional Manifolds