Vanishing structure set of 3-manifolds

TL;DR

This paper updates a previous result to complete the proof that the structure set of compact aspherical 3-manifolds is empty, confirming a key aspect of their topological classification.

Contribution

It finalizes the proof that the structure set vanishes for all compact aspherical 3-manifolds, completing a previously initiated program.

Findings

Structure set vanishes for all compact aspherical 3-manifolds

Completes the classification program for 3-manifolds

Confirms conjectures in topological manifold theory

Abstract

In this short note we update a result proved in [16]. This will complete our program of [12] showing that the structure set vanishes for compact aspherical 3-manifolds.