TY  - BOOK
AU  - Sergei I. Gelfand
AU  - Yuri I. Manin
TI  - Methods of homological algebra
T2  - Springer Monographs in Mathematics
SN  - 9783642078132
AV  - QA169 
PY  - 2010///]
CY  - Heidelberg
PB  - Springer- Verlag
N1  - 1. Simplicial Sets
2. Main Notions of the Category Theory
3. Derived Categories and Derived Functors
4. Triangulated Categories
5. Introduction to Homotopic Algebra
N2  - Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections. --- summary provided by publisher
UR  - https://link.springer.com/book/10.1007/978-3-662-12492-5#toc
ER  -