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 intricate tools of computation in arithmetic. This booklet describes essentially the most very important examples of spectral sequences and a few in their such a lot surprising functions. the 1st 3rd of the publication treats the algebraic foundations for this type of homological algebra, ranging from casual calculations, to provide the beginner a familiarity with the diversity of purposes attainable. the guts of the e-book 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 ebook treats purposes all through arithmetic, together with the speculation of knots and hyperlinks, algebraic geometry, differential geometry and algebra. this is often an exceptional reference for college students and researchers in geometry, topology, and algebra.

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