# Topological spines of 4-manifolds

## TL;DR

This paper demonstrates that many simply connected 4-manifolds, previously thought not to admit PL spines, actually possess topological spines, expanding understanding of their topological structure.

## Contribution

It proves that infinitely many Levine-Lidman 4-manifolds without PL spines do admit topological spines, revealing new topological properties of these manifolds.

## Key findings

- Many Levine-Lidman 4-manifolds admit topological spines
- Existence of topological spines in manifolds lacking PL spines
- Enhanced understanding of 4-manifold topology

## Abstract

We show that infinitely many of the simply connected 4-manifolds constructed by Levine and Lidman that do not admit PL spines actually admit topological spines.