A User's Guide to Spectral Sequences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A User's Guide to Spectral Sequences write by John McCleary. This book was released on 2001. A User's Guide to Spectral Sequences available in PDF, EPUB and Kindle. Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.
A User's Guide to Spectral Sequences
A User's Guide to Spectral Sequences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A User's Guide to Spectral Sequences write by John McCleary. This book was released on 2000-11-27. A User's Guide to Spectral Sequences available in PDF, EPUB and Kindle. Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.
A User's Guide to Spectral Sequences ICM Edition
A User's Guide to Spectral Sequences ICM Edition - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A User's Guide to Spectral Sequences ICM Edition write by John McCleary. This book was released on 2010-07-23. A User's Guide to Spectral Sequences ICM Edition available in PDF, EPUB and Kindle.
Bordism, Stable Homotopy and Adams Spectral Sequences
Bordism, Stable Homotopy and Adams Spectral Sequences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bordism, Stable Homotopy and Adams Spectral Sequences write by Stanley O. Kochman. This book was released on 1996. Bordism, Stable Homotopy and Adams Spectral Sequences available in PDF, EPUB and Kindle. This book is a compilation of lecture notes that were prepared for the graduate course ``Adams Spectral Sequences and Stable Homotopy Theory'' given at The Fields Institute during the fall of 1995. The aim of this volume is to prepare students with a knowledge of elementary algebraic topology to study recent developments in stable homotopy theory, such as the nilpotence and periodicity theorems. Suitable as a text for an intermediate course in algebraic topology, this book provides a direct exposition of the basic concepts of bordism, characteristic classes, Adams spectral sequences, Brown-Peterson spectra and the computation of stable stems. The key ideas are presented in complete detail without becoming encyclopedic. The approach to characteristic classes and some of the methods for computing stable stems have not been published previously. All results are proved in complete detail. Only elementary facts from algebraic topology and homological algebra are assumed. Each chapter concludes with a guide for further study.
K-theory
K-theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook K-theory write by Michael Atiyah. This book was released on 2018-03-05. K-theory available in PDF, EPUB and Kindle. These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use is made of ordinary homology or cohomology theory. In fact, rational cohomology is defined in terms of K-theory.The theory is taken as far as the solution of the Hopf invariant problem and a start is mode on the J-homomorphism. In addition to the lecture notes proper, two papers of mine published since 1964 have been reproduced at the end. The first, dealing with operations, is a natural supplement to the material in Chapter III. It provides an alternative approach to operations which is less slick but more fundamental than the Grothendieck method of Chapter III, and it relates operations and filtration. Actually, the lectures deal with compact spaces, not cell-complexes, and so the skeleton-filtration does not figure in the notes. The second paper provides a new approach to K-theory and so fills an obvious gap in the lecture notes.
