La Théorie de l'Homotopie de Grothendieck PDF
189 Pages·2012·1.064 MB·French
Most books are stored in the elastic cloud where traffic is expensive. For this reason, we have a limit on daily download.
Preview La Théorie de l'Homotopie de Grothendieck
Description:
The aim of this book is toexplain the very beautiful homotopy theory developed by Grothendieck in \PursuingStacks". The question is to characterize categories of presheaves that modelize ho-motopy types, thus generalizing the theory of simplicial sets. The criteria discoveredby Grothendieck show that there are pretty many such categories, called elementarymodelizers. We describe a categorical construction of left homotopy Kan extensions,generalizing a construction of homotopy colimits by Thomason. We study two re-markable classes of functors, proper and smooth functors, these two notions beingmutually dual. These functors are characterized by cohomological properties inspiredby the proper or smooth base change theorem in algebraic geometry.
See more
The list of books you might like
Most books are stored in the elastic cloud where traffic is expensive. For this reason, we have a limit on daily download.
