English

All two dimensional links are null homotopic

Geometric Topology 2014-11-11 v2

Abstract

We show that any number of disjointly embedded 2-spheres in 4-space can be pulled apart by a link homotopy, ie, by a motion in which the 2-spheres stay disjoint but are allowed to self-intersect.

Keywords

Cite

@article{arxiv.math/0004021,
  title  = {All two dimensional links are null homotopic},
  author = {Arthur Bartels and Peter Teichner},
  journal= {arXiv preprint arXiv:math/0004021},
  year   = {2014}
}

Comments

18 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol3/paper10.abs.html