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.
Mathematics Subject Classification (2010). 20G10, 18G10, 55P65, 18G15, 20J06.
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© 2015 Springer International Publishing Switzerland
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Touzé, A. (2015). Prerequisites of Homological Algebra. In: Franjou, V., Touzé, A. (eds) Lectures on Functor Homology. Progress in Mathematics, vol 311. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-21305-7_5
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DOI: https://doi.org/10.1007/978-3-319-21305-7_5
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-21304-0
Online ISBN: 978-3-319-21305-7
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