Decompositions into codimension two spheres and approximate fibrations

DOI10.1016/0166-8641(85)90064-1zbMath0589.57012OpenAlexW2076503280MaRDI QIDQ1074184

John J. Walsh, Robert J. Daverman

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0166-8641(85)90064-1

zbMATH Keywords

Seifert fibrationapproximate fibrationcompactadecomposition spaceupper semicontinuous decompositionwinding functionblock bundlek-movable map

Mathematics Subject Classification ID

Quotient spaces, decompositions in general topology (54B15) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Shapes (aspects of topological manifolds) (57N25) Microbundles and block bundles (57N55)

Related Items (8)

Discontinuity in codimension-\(k\) manifold decompositions ⋮ Partially Acyclic Manifold Decompositions Yielding Generalized Manifolds ⋮ Decompositions into Codimension-Two Manifolds ⋮ A Controlled Plus Construction for Crumpled Laminations ⋮ Decompositions into submanifolds that yield generalized manifolds ⋮ Submanifold decompositions that induce approximate fibrations ⋮ Manifolds with nonzero Euler characteristic and codimension \(2\)-fibrators ⋮ Decompositions into codimension two submanifolds that induce approximate fibrations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local n-connectivity of decomposition spaces
• Manifolds accepting codimension-one-sphere-shape decompositions
• Decompositions and approximate fibrations
• Imbedding deleted 3-manifold neighborhoods in \(E^3\)
• Approximate fibrations
• Approximate fibrations and a movability condition for maps
• Ends of maps. I
• The locally flat approximation of cell-like embedding relations
• The Vietoris mapping theorem for bicompact spaces
• Mappings from S3 to S2 whose point inverses Have the shape of a circle
• Finiteness Theorems for Approximate Fibrations
• Interior Transformations on Surfaces

This page was built for publication: Decompositions into codimension two spheres and approximate fibrations