2016/08/09 by Pérez, Marco A.
#18A25 #18A30 #18A35 #18A40 #18E10 #18G05 #18G10 #Category Theory (math.CT) #FOS: Mathematics
paper · doi:10.48550/arxiv.1608.02828
We give an introduction to the concept of Kan extensions, and study its relation with the notions of coend and adjoint functors. We state and prove in detail a well known formula to compute Kan extensions by using coends: a certain colimit related to the concept of copower. Finally, we study the tensor product of functors, and its relation with Kan extensions, in order to represent the tensor product of C-modules as a particular case.