Tittel: Finiteness obstruction in model categories
Veileder: Markus Szymik
Sammendrag: We show in this paper that there is a natural way to make sense of the finiteness of objects in some general setting model category. The operator $(W a(−), w(−))$ proves to be a functor from any model category where we can make sense of cofibrant generation to the category of abelian groups. We also show how this behaves when applying products.