Poincaré duality for posets

The main goal of this paper is to prove a Poincare duality theorem in the context of finite posets. This result will be established for the class of homologically bi-admissible finite posets, which includes the well-known subclass of finite closed homology manifolds.(c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http:// creativecommons .org /licenses /by -nc -nd /4 .0/).

Automated summary

The main goal of this paper is to prove a Poincare duality theorem in the context of finite posets, specifically focusing on the class of homologically bi-admissible finite posets.