Approximating codimension two embeddings of cells

Gerard Alan Venema

Vol. 126 (1987), No. 1, 165–195

DOI: 10.2140/pjm.1987.126.165

Abstract

It is shown that every topological embedding of a k-cell into a piecewise linear (k + 2)-manifold can be arbitrarily closely approximated by locally flat piecewise linear embeddings. The new ingredient in the proof is an 𝜖-controlled piping lemma.

Mathematical Subject Classification 2000

Primary: 57Q55

Secondary: 57Q35

Milestones

Received: 20 September 1982

Revised: 6 July 1984

Published: 1 January 1987