On distinct finite covers of 3-manifolds
arXiv:1807.09861 · doi:10.1512/iumj.2021.70.8357
Abstract
Every closed orientable surface S has the following property: any two connected covers of S of the same degree are homeomorphic (as spaces). In this, paper we give a complete classification of compact 3-manifolds with empty or toroidal boundary which have the above property. We also discuss related group-theoretic questions.
29 pages. V3: Implements suggestions from a referee report. This version has been accepted for publication by IUMJ