# A Proof of Milnor conjecture in dimension 3

## TL;DR

This paper proves Milnor's conjecture in three dimensions using Cheeger-Colding theory, offering an alternative approach to previous minimal surface methods.

## Contribution

It provides a novel proof of Milnor's conjecture in dimension 3 based on Ricci curvature and limit space analysis, differing from prior minimal surface techniques.

## Key findings

- Milnor conjecture is proven in dimension 3.
- Cheeger-Colding theory is effectively applied to this problem.
- The proof offers a new perspective distinct from minimal surface approaches.

## Abstract

We present a proof of Milnor conjecture in dimension 3 based on Cheeger-Colding theory on limit spaces of manifolds with Ricci curvature bounded below. It is different from [Liu] that relies on minimal surface theory.