Title: A User’s Guide to Spectral Sequences: Second Edition (Cambridge Studies in Advanced Mathematics, Series Number 58)
Author: John McCleary
Publisher: Cambridge University Press; 2nd edition (February 7, 1997)
ISBN-10: 0521567599
ISBN-13: 978-0521567596
Description:
“A User’s Guide to Spectral Sequences” by John McCleary serves as an indispensable resource for mathematicians delving into the realm of algebraic topology and related fields. In this second edition, McCleary meticulously introduces readers to spectral sequences, a vital tool for investigating algebraic structures and their associated cohomology theories. The book covers foundational concepts such as exact couples, filtration, and convergence criteria, while also delving into advanced topics including spectral sequences in homotopy theory and their applications in algebraic geometry. Through clear elucidation, illustrative examples, and exercises, the book systematically guides readers through the theory and applications of spectral sequences, catering to both novices and experts in the field. Published by Cambridge University Press as part of the esteemed Cambridge Studies in Advanced Mathematics series, this edition has been updated with enriched content and new illustrations to facilitate comprehension. Whether utilized as a primary text for graduate-level courses or as a reference for seasoned researchers, “A User’s Guide to Spectral Sequences” stands as an indispensable aid for mastering this significant area of mathematical inquiry.