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Prerequisites of Homological Algebra

Chapter
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Part of the Progress in Mathematics book series (PM, volume 311)

Abstract

This text recalls the basic notions of homological algebra needed in the other parts of the book, in order to make them accessible to beginners. The aim of Sections 2 and 3 is to give a unified presentation of the various homology theories appearing in the book. In particular, we try to underline the links, the similarities and the differences between them. Section 4 is an introduction to spectral sequences, a technical tool which is used in all the other chapters.

Keywords

Derived functor homotopy group polynomial functor 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Université Lille 1 – Sciences et Technologies Laboratoire PainlevéVilleneuve d’Ascq CedexFrance

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