On nonexistence of locally flat approximations in codimension two

DOI10.1007/BF01476619zbMath0486.57007MaRDI QIDQ1164884

M. A. Shtan'ko

Publication date: 1982

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

zbMATH Keywords

locally-flat approximationmanifolds without PL-structurepl-embeddings of codimension 2topological embeddings in codimension 2

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Embeddings and immersions in PL-topology (57Q35) Flatness and tameness of topological manifolds (57N45) Comparison of PL-structures: classification, Hauptvermutung (57Q25) Approximations in PL-topology (57Q55)

Cites Work

• Piecewise linear embeddings and their singularities
• A splitting theorem for manifolds
• Topological Pontrjagin classes
• Immersions of Manifolds
• The recognition problem: What is a topological manifold?
• Smoothings of Piecewise Linear Manifolds. (AM-80)
• Characteristic Classes. (AM-76)
• Manifolds with π 1 = G x α T
• Homotopy in homeomorphism spaces, $TOP$ and $PL$
• All 3-manifolds imbed in 5-space
• Embedding 1-connected manifolds
• On Homotopy Spheres Bounding Highly Connected Manifolds
• Unnamed Item

This page was built for publication: On nonexistence of locally flat approximations in codimension two