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Methods of homological algebra. Transl. from the Russian. 2nd ed. (English) Zbl 1006.18001

Springer Monographs in Mathematics. Berlin: Springer. xx, 372 p. EUR 69.95/net; sFr. 116.50; £49.00; $ 79.95 (2003).
It is a pleasure to have on the desk this second edition from a now classical text in mathematics. As the authors write in the preface, many of the typos, errors, and imprecise statements that found their way into the first edition, are corrected. But these must be minor trifles because nobody of the preceding reviewers mentioned any of them [for the Russian edition see (1988; Zbl 0668.18001), for the first English edition see (1996; Zbl 0855.18001)]. At last this text has to be seen as part of the general process of unification in mathematics.

MSC:

18-02 Research exposition (monographs, survey articles) pertaining to category theory
55-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic topology
18E25 Derived functors and satellites (MSC2010)
55Uxx Applied homological algebra and category theory in algebraic topology
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