A User's Guide to Spectral Sequences (Cambridge Studies in - download pdf or read online

By John McCleary

Spectral sequences are one of the so much dependent, strongest, and most intricate equipment of computation in arithmetic. This e-book describes one of the most vital examples of spectral sequences and a few in their such a lot brilliant purposes. the 1st 3rd of the e-book treats the algebraic foundations for this kind of homological algebra, ranging from casual calculations, to offer the beginner a familiarity with the diversity of functions attainable. the center 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 new version, the Bockstein spectral series. The final a part of the publication treats purposes all through arithmetic, together with the speculation of knots and hyperlinks, algebraic geometry, differential geometry and algebra. this is often a very good reference for college students and researchers in geometry, topology, and algebra.

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

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