Download A User's Guide to Spectral Sequences (Cambridge Studies in by John McCleary PDF

By John McCleary

Spectral sequences are one of the so much stylish, strongest, and most complex equipment of computation in arithmetic. This booklet describes probably the most vital examples of spectral sequences and a few in their such a lot amazing functions. the 1st 3rd of the ebook treats the algebraic foundations for this type of homological algebra, ranging from casual calculations, to provide the amateur a familiarity with the variety of purposes attainable. the guts of the ebook is an exposition of the classical examples from homotopy thought, with chapters at the Leray-Serre spectral series, the Eilenberg-Moore spectral series, the Adams spectral series, and, during this new version, the Bockstein spectral series. The final a part of the booklet treats purposes all through arithmetic, together with the speculation of knots and hyperlinks, algebraic geometry, differential geometry and algebra. this can be a great reference for college students and researchers in geometry, topology, and algebra.

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