Homotopy Equivalences of 3-Manifolds

Federica Bertolotti

Homotopy Equivalences of 3-Manifolds

Geometric Topology 2022-08-11 v2

Authors: Federica Bertolotti

Abstract

Let $M$ be an oriented closed $3$ -manifold. We prove that there exists a constant $A_M$ , depending only on the manifold $M$ , such that for every self-homotopy equivalence $f$ of $M$ there is an integer $k$ such that $1 \leq k \leq A_M$ and $f^k$ is homotopic to a homeomorphism.

Keywords

3-manifold homotopy equivalence homeomorphism closed manifold self-homotopy equivalence

Cite

@article{arxiv.2207.05717,
  title  = {Homotopy Equivalences of 3-Manifolds},
  author = {Federica Bertolotti},
  journal= {arXiv preprint arXiv:2207.05717},
  year   = {2022}
}

Comments

15 pages. Improved the exposition, added some references

Related papers

View all related →