English

Realizing compactly generated pseudo-groups of dimension one

Geometric Topology 2015-03-04 v2

Abstract

Many compactly generated pseudo-groups of local transformations on 1-manifolds are realizable as the transverse dynamic of a foliation of codimension 1 on a compact manifold of dimension 3 or 4.

Keywords

Cite

@article{arxiv.1409.7656,
  title  = {Realizing compactly generated pseudo-groups of dimension one},
  author = {Gaël Meigniez},
  journal= {arXiv preprint arXiv:1409.7656},
  year   = {2015}
}

Comments

The second version had a mistake in some nonorientable case. The problem is fixed in this third version.

R2 v1 2026-06-22T06:06:59.926Z