English

Isotopies vis-\`a-vis level-preserving embeddings

Geometric Topology 2018-01-19 v1

Abstract

Various standard texts on differential topology maintain that the level-preserving map defined by the track of an isotopy of embeddings is itself an embedding. This note describes a simple counterexample to this assertion.

Cite

@article{arxiv.1708.09703,
  title  = {Isotopies vis-\`a-vis level-preserving embeddings},
  author = {Hansjörg Geiges},
  journal= {arXiv preprint arXiv:1708.09703},
  year   = {2018}
}

Comments

4 pages, 1 figure

R2 v1 2026-06-22T21:29:09.850Z