Submanifold decompositions that induce approximate fibrations

DOI10.1016/S0166-8641(89)80006-9zbMath0684.57009OpenAlexW2075262122MaRDI QIDQ1825479

Robert J. Daverman

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(89)80006-9

zbMATH Keywords

fundamental groupaspherical manifoldgroup ringapproximate fibrationHopfianNoetherianupper semicontinuous decompositionshape equivalentclosed n-manifoldcodimension-2 fibratorcodimension-1 fibratorcodimension-k fibrator

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)

Related Items (15)

PL fibrator properties of partially aspherical manifolds ⋮ Manifolds that induce approximate fibrations in the PL category ⋮ Unnamed Item ⋮ Homology \(n\)-spheres as codimension-\((n+1)\) shape m\(_{\text{simpl}}\)-fibrators ⋮ Necessary and sufficient conditions for s-Hopfian manifolds to be codimension-2 fibrators ⋮ Approximation of Approximate Fibrations by Bundle Maps ⋮ Special manifolds and shape fibrator properties ⋮ 3-manifolds fibering over the Klein bottle and codimension 2 orientable fibrators ⋮ Manifolds that fail to be co-dimension 2 fibrators necessarily cover themselves ⋮ Coperfectly Hopfian groups and shape fibrator's properties ⋮ Strongly Hopfian manifolds as codimension-2 fibrators ⋮ Manifolds with nonzero Euler characteristic and codimension \(2\)-fibrators ⋮ Fibrator properties of manifolds ⋮ 2-groups and approximate fibrations ⋮ Decompositions into codimension two submanifolds that induce approximate fibrations

Cites Work

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• Decompositions into codimension two spheres and approximate fibrations
• Decompositions into codimension two submanifolds: the nonorientable case
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• Approximate fibrations
• Approximate fibrations and a movability condition for maps
• Decompositions into submanifolds that yield generalized manifolds
• On 3-manifolds that cover themselves
• Seifert manifolds
• Mappings from S3 to S2 whose point inverses Have the shape of a circle
• Decompositions into Codimension-Two Manifolds
• Approximating Approximate Fibrations by Fibrations
• The Geometries of 3-Manifolds
• The Degree of a Map
• Surfaces Embedded in M² × S¹
• Residual Finiteness of Surface Groups
• The Hopfian property for a class of fundamental groups

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