Approximating maps of 2-manifolds with zero-dimensional nondegeneracy sets

DOI10.1016/0166-8641(92)90059-9zbMath0754.57004OpenAlexW2031353638MaRDI QIDQ1193418

Matthew V. Brahm

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0166-8641(92)90059-9

zbMATH Keywords

recognition problemapproximation by an embeddingDehn diskmap of a 2-manifold to a 3-manifoldpoint preimages

Mathematics Subject Classification ID

Related Items (5)

A space filling map from \(I^ 2\) to \(I^ 3\) with a zero-dimensional singular set ⋮ The recognition problem for topological manifolds: A survey ⋮ Geometric topology of generalized 3-manifolds ⋮ Variational principles for circle patterns and Koebe’s theorem ⋮ The van Kampen obstruction and its relatives

Cites Work

• On Properly Embedding Planes in Arbitrary 3-Manifolds
• A New 3-Dimensional Shrinking Criterion
• Improving the Side Approximation Theorem
• Extensions of Dehn's Lemma and the Loop Theorem
• Free Surfaces in S 3
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