# The four functors of Grothendieck in examples

Tuesday, May 01st, 2012 | Author: Konrad Voelkel

This post will discuss the definition of the four functors "pushforward" , "pullback" , "pushforward with compact support" and "exceptional pullback" of sheaves of abelian groups, associated to a continuous morphism of topological spaces and . Then we will look at maps which are open immersions or closed immersions, and calculate in the example of and its closed complement exactly what happens. This is intended to give some intuition what the general four functor calculus is about.

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Category: English, Mathematics | 2 Comments