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
Beli ebook ini dan dapatkan 1 lagi PERCUMA!
Bahasa Inggeris ● Format PDF ● ISBN 9783540279501 ● Penerbit Springer Berlin Heidelberg ● Diterbitkan 2005 ● Muat turun 6 kali ● Mata wang EUR ● ID 6592801 ● Salin perlindungan Adobe DRM
Memerlukan pembaca ebook yang mampu DRM
Lebih banyak ebook daripada pengarang yang sama / Penyunting
48,151 Ebooks dalam kategori ini
