English

The compression theorem II: directed embeddings

Geometric Topology 2014-11-11 v5

Abstract

This is the second of three papers about the Compression Theorem. We give proofs of Gromov's theorem on directed embeddings [M Gromov, Partial differential relations, Springer--Verlag (1986); 2.4.5 C'] and of the Normal Deformation Theorem [The compression theorem I; 4.7], arxiv:math.GT/9712235.

Keywords

Cite

@article{arxiv.math/0003026,
  title  = {The compression theorem II: directed embeddings},
  author = {Colin Rourke and Brian Sanderson},
  journal= {arXiv preprint arXiv:math/0003026},
  year   = {2014}
}

Comments

Originally titled "Directed embeddings: a proof of Gromov's theorem", this paper has been rewritten as part II in a series of papers about the compression theorem. This version is published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper15.abs.html