On distinct finite covers of 3-manifolds

Published 25 Jul 2018 in math.GT | (1807.09861v3)

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.

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