Certifying a compact topological 4-manifold

TL;DR

This paper demonstrates that compact topological 4-manifolds can be described and represented using a finite, manageable amount of data, facilitating their study and classification.

Contribution

It provides a method to effectively present compact topological 4-manifolds with finite data, advancing understanding of their structure.

Findings

Compact topological 4-manifolds can be effectively encoded.

Finite data suffices for their presentation.

Facilitates classification and analysis of 4-manifolds.

Abstract

We prove that compact topological 4-manifolds can be effectively presented by a finite amount of data.