A variation on the homological nerve theorem

TL;DR

This paper presents a new, equivalent version of the Homological Nerve Theorem, offering a potentially more useful formulation for applications in algebraic topology.

Contribution

It introduces a novel, equivalent formulation of the Homological Nerve Theorem that may facilitate its application and understanding.

Findings

Proves an equivalent version of the Homological Nerve Theorem

Provides insights into the theorem's applications

Simplifies the theorem's statement for practical use

Abstract

An equivalent but useful version on the Homological Nerve Theorem is proved.