Sheaf (Čech) Cohomology: A glimpse

This is a blogpost on Sheaf Cohomology. We shall be following this article. If the reader wants to read up on what a sheaf is, he/she can read the very readable wikipedia article on it. From the word cohomology, we can guess that we shall be talking about a complex with abelian groups and boundaryContinue reading “Sheaf (Čech) Cohomology: A glimpse”

Sheafification

This is a blog post on sheafification. I am broadly going to be following Ravi Vakil’s notes on the topic. Sheafification is the process of taking a presheaf and giving the sheaf that best approximates it, with an analogous universal property. In a previous blog post, we’ve discussed examples of pre-sheaves that are not sheaves.Continue reading “Sheafification”