This course is a follow-up of Topology I+II given in Bergische Universität Wuppertal. The goal of the lecture is to study sheaf cohomology on topological spaces. In the first part, we explain how it relates to singular cohomology, de Rham cohomology, and Cech cohomology. In the second part, we prove the Poincare duality on sheaf cohomology.

Sheaf Theory Notes Part I : Sheaf cohomology, singular cohomology and de Rham cohomology

Sheaf Theory Notes Part II : Poincare duality on sheaf cohomology