An extension of the loop theorem and resolutions of generalized 3- manifolds with 0-dimensional singular set

DOI10.1007/BF01388594zbMath0561.57010MaRDI QIDQ2266484

Thomas L. Thickstun

Publication date: 1984

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143172

zbMATH Keywords

loop theoremcell-like image of a 3-manifoldhomology 3-manifoldproper maps of noncompact planar surfaces into noncompact 3-manifolds

Mathematics Subject Classification ID

Poincaré duality spaces (57P10) Cellularity in topological manifolds (57N60)

Related Items (5)

Concordance of decompositions given by defining sequences ⋮ The recognition problem for topological manifolds: A survey ⋮ Resolutions of generalized 3-manifolds whose singular sets have general position dimension one. ⋮ Geometric topology of generalized 3-manifolds ⋮ The 3-manifold recognition problem

Cites Work

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• Cell-like mappings and their generalizations
• Extensions of Dehn's Lemma and the Loop Theorem
• OPEN 3-MANIFOLDS WHICH ARE 1-CONNECTED AT INFINITY
• Open 3-Manifolds Which are Simply Connected at Infinity

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