Geometric topology of generalized 3-manifolds

DOI10.1007/s10958-007-0279-yzbMath1149.57314OpenAlexW2014048656MaRDI QIDQ950741

Thomas L. Thickstun, Alberto Cavicchioli, Dušan D. Repovš

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0279-y

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Cites Work

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• A decomposition of \(E^ 3\) into points and tame arcs such that the decomposition space is topologically different from \(E^ 3\)
• A disjoint disks property for 3-manifolds
• An obstruction to the resolution of homology manifolds
• Generalized three-manifolds with zero-dimensional nonmanifold set
• Approximating maps of 2-manifolds with zero-dimensional nondegeneracy sets
• Imbeddings of polyhedra in 3-manifolds
• Resolutions of generalized 3-manifolds whose singular sets have general position dimension one.
• Peripheral acyclicity and homology manifolds
• Topology of homology manifolds
• An extension of the loop theorem and resolutions of generalized 3- manifolds with 0-dimensional singular set
• Point-like 0-dimensional decompositions of \(S^ 3\)
• Cell-Like 0-Dimensional Decompositions of S 3 are 4-Manifold Factors
• The 3-manifold recognition problem
• Strongly Acyclic Maps and Homology 3-Manifolds with 0-Dimensional Singular Set
• The recognition problem: What is a topological manifold?
• Resolving acyclic images of three-manifolds
• Generalized 3-Manifolds whose Nonmanifold set has Neighborhoods Bounded by Tori
• General Position Properties That Characterize 3-Manifolds
• On Properly Embedding Planes in 3-Manifolds
• A New 3-Dimensional Shrinking Criterion
• 1-FLG complexes are tame in 3-manifolds

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