Categories and sheaves, which emerged in the middle of the last century as an enrichment for the concepts of sets and functions, appear almost everywhere in mathematics nowadays.This book covers categories, homological algebra and sheaves in a systematic and exhaustive manner starting from scratch, and continues with full proofs to an exposition of the most recent results in the literature, and sometimes beyond.The authors present the general theory of categories and functors, emphasising inductive and projective limits, tensor categories, representable functors, ind-objects and localization. Then they study homological algebra including additive, abelian, triangulated categories and also unbounded derived categories using transfinite induction and accessible objects. Finally, sheaf theory as well as twisted sheaves and stacks appear in the framework of Grothendieck topologies.
€89.62
Cumpărați această carte electronică și primiți încă 1 GRATUIT!
Limba Engleză ● Format PDF ● ISBN 9783540279501 ● Editura Springer Berlin Heidelberg ● Publicat 2005 ● Descărcabil 6 ori ● Valută EUR ● ID 6592801 ● Protecție împotriva copiilor Adobe DRM
Necesită un cititor de ebook capabil de DRM
Mai multe cărți electronice de la același autor (i) / Editor
48.151 Ebooks din această categorie
