Generalized three-manifolds with zero-dimensional nonmanifold set

DOI10.2140/pjm.1981.97.29zbMath0432.57003OpenAlexW2039548193MaRDI QIDQ1138828

D. R. jun. McMillan, Matthew G. Brin

Publication date: 1981

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1981.97.29

zbMATH Keywords

Poincare conjecturecell- like image of closed 3-manifoldcontractible, monotone union of handlebodiesembedding the manifold set of a generalized 3-manifold in a compact 3-manifoldgeneralized three-manifolds with zero-dimensional non-manifold set

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Embeddings and immersions in PL-topology (57Q35) Generalized manifolds (57P99) Cellularity in topological manifolds (57N60)

Related Items (4)

Resolutions of generalized 3-manifolds whose singular sets have general position dimension one. ⋮ Geometric topology of generalized 3-manifolds ⋮ An extension of the loop theorem and resolutions of generalized 3- manifolds with 0-dimensional singular set ⋮ A disjoint disks property for 3-manifolds

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