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

By John McCleary

Spectral sequences are one of the so much stylish, strongest, and most complex equipment of computation in arithmetic. This ebook describes one of the most vital examples of spectral sequences and a few in their so much extraordinary functions. the 1st 3rd of the booklet treats the algebraic foundations for this kind of homological algebra, ranging from casual calculations, to provide the beginner a familiarity with the diversity of purposes attainable. the guts of the publication is an exposition of the classical examples from homotopy idea, with chapters at the Leray-Serre spectral series, the Eilenberg-Moore spectral series, the Adams spectral series, and, during this re-creation, the Bockstein spectral series. The final a part of the publication treats functions all through arithmetic, together with the idea of knots and hyperlinks, algebraic geometry, differential geometry and algebra. this can be a very good reference for college kids and researchers in geometry, topology, and algebra.

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