Fundamental Dimension and Suspension of Approximate Fibrations

DOI10.2307/2042400zbMath0457.55012OpenAlexW4252119788MaRDI QIDQ3906786

L. S. Husch, P. F. jun. Duvall

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2042400

zbMATH Keywords

approximate fibration between compact, connected ANR'sfundamental dimension of total space as sum of the fundamental dimensions of fiber and base space

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Dimension theory in algebraic topology (55M10) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Generalizations of fiber spaces and bundles in algebraic topology (55R65) ?ech types (55N05) Shape theory in general topology (54C56) Shape theory (55P55)

Cites Work

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• Approximating maps into fiber bundles by homeomorphisms
• Approximate fibrations
• Approximate fibrations and a movability condition for maps
• Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction
• Local trivality for Hurewicz fiberings of manifolds
• Homologie singulière des espaces fibrés. Applications
• Approximate Fibrations with Nonfinite Fibers
• On the fundamental dimension of approximatively 1-connected compacta

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