English

On Macroscopic dimension of non-spin 4-manifolds

Geometric Topology 2019-04-02 v1 Algebraic Topology

Abstract

We prove that for 4-manifolds MM with residually finite fundamental group and non-spin universal covering \WiM\Wi M, the inequality dimmc\WiM3\dim_{mc}\Wi M\le 3 implies the inequality dimmc\WiM2\dim_{mc}\Wi M\le 2.

Keywords

Cite

@article{arxiv.1904.00846,
  title  = {On Macroscopic dimension of non-spin 4-manifolds},
  author = {Michelle Daher and Alexander Dranishnikov},
  journal= {arXiv preprint arXiv:1904.00846},
  year   = {2019}
}