Sheaves 6 (Injectivity, Surjectivity and Exactness of Morphisms of Sheaves)

This video is all about morphism of sheaves and injectivity, surjectivity and exactness of morphisms of sheaves. We prove some lemmata and give some examples to motivate the definitions and we look at all these things from two points of view. Once at the level of stalks and once with the lens of the kernel and image sheaf. This gives as two equivalent definitions of those terms. We prove that they are in fact equivalent. We finish with the exponential sequence from Complex Analysis.