Fibrations and bundles with Hilbert cube manifold fibers

DOI10.1090/memo/0406zbMath0689.57013OpenAlexW2061243316MaRDI QIDQ3031651

H. Torunczyk, James E. West

Publication date: 1989

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0406

zbMATH Keywords

Hilbert cubeTychonoff cubeHurewicz fibrationfibre-homotopy equivalencesANR-fibrationsapproximated by fibre-preserving homeomorphismsB-proper locally compact ANR-fibrationbundle with ANR fibrescontrolled fibre preserving retractiondisjoint cells propertyfibred general position propertyfibred homeomorphismFibred productsgeneral position fibrationQ-manifold bundle

Mathematics Subject Classification ID

Topology of vector bundles and fiber bundles (57R22) 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) Topology of infinite-dimensional manifolds (57N20) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Fiber bundles in algebraic topology (55R10) Fiber spaces in algebraic topology (55R05) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Related Items (10)

On \(Q\)-manifolds bundles ⋮ Fixed point sets of Tychonov cubes ⋮ Hyperspace of max-plus convex compact sets ⋮ On orthogonal projections of Nöbeling spaces ⋮ \(Z\)-set unknotting in uncountable products of reals ⋮ Hyperspaces of MAX-plus convex subsets of powers of the real line ⋮ Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces ⋮ Unnamed Item ⋮ Fibration of idempotent measures ⋮ Spaces of idempotent measures of compact metric spaces

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