An elementary proof for Poincare Duality with local coefficients

TL;DR

This paper presents an accessible elementary proof of Poincare Duality with local coefficients and compact support, avoiding complex sheaf theory to make the concept more understandable.

Contribution

It offers a simpler, more accessible proof of Poincare Duality with local coefficients, eliminating the need for sheaf theory.

Findings

Proof is more accessible without sheaf theory

Validates Poincare Duality with local coefficients

Applicable to compact support cases

Abstract

An proof of Poincare Duality with local coefficients and with compact support is provided. The proof does not require Sheaf Theory or anything equivalent and is thus more accessible for the general audience.