A remark on singular cohomology and sheaf cohomology

TL;DR

This paper establishes a comparison isomorphism between singular cohomology and sheaf cohomology, bridging two fundamental cohomological theories in algebraic topology.

Contribution

It provides a proof of a comparison isomorphism connecting singular and sheaf cohomology, clarifying their relationship.

Findings

Singular cohomology and sheaf cohomology are isomorphic under certain conditions.

The proof enhances understanding of cohomological theories in topology.

The result simplifies computations by allowing interchange of cohomology types.

Abstract

We prove a comparison isomorphism between singular cohomology and sheaf cohomology.