The recognition problem for topological manifolds: A survey

DOI10.2996/kmj/1138040049zbMath0859.57023OpenAlexW1972153467MaRDI QIDQ1345384

Dušan D. Repovš

Publication date: 7 April 1997

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138040049

zbMATH Keywords

resolutiongeneral positiongeneralized \(n\)-manifoldrecognition of manifolds

Mathematics Subject Classification ID

Generalized manifolds (57P99)

Related Items (4)

Limits of manifolds in the Gromov-Hausdorff metric space ⋮ Decompositions of \(\mathbb R^n,n\geq 4\), into convex sets generate codimension 1 manifold factors ⋮ The relationship of generalized manifolds to Poincaré duality complexes and topological manifolds ⋮ Detecting codimension one manifold factors with topographical techniques

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Detecting the disjoint disks property
• Resolutions of homology manifolds, and the topological characterization of manifolds
• The topology of four-dimensional manifolds
• A disjoint disks property for 3-manifolds
• Corrigendum to: Resolutions of homology manifolds, and the topological characterization of manifolds
• An obstruction to the resolution of homology manifolds
• Shrinking cell-like decompositions of manifolds. Codimension three
• Products of cell-like decompositions
• A ghastly generalized n-manifold
• Approximating maps of 2-manifolds with zero-dimensional nondegeneracy sets
• On 1-cycles and the finite dimensionality of homology 4-manifolds
• Taming codimension-one generalized submanifolds of \(S^n\)
• Ends of maps. I
• Topology of homology manifolds
• An extension of the loop theorem and resolutions of generalized 3- manifolds with 0-dimensional singular set
• An exotic factor ofS³× ℝ
• Seminar on Transformation Groups. (AM-46)
• Resolving Acyclic Images of Nonorientable Three-Manifolds
• The recognition problem: What is a topological manifold?
• General Position Properties That Characterize 3-Manifolds
• A General Proof of Bing's Shrinkability Criterion
• Cell-like mappings and their generalizations
• Resolving zero-dimensional singularities in generalized manifolds
• A New 3-Dimensional Shrinking Criterion
• A proof of the generalized Schoenflies theorem
• 1-FLG complexes are tame in 3-manifolds
• The Kline sphere characterization problem
• A 4-dimensional 1-LCC shrinking theorem

This page was built for publication: The recognition problem for topological manifolds: A survey