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Overview
- Introduction of the new “upper triangular technology” method
- Detailed application of upper triangular technology to operations in algebraic K-theory and to the Arf-Kervaire invariant problem.
- An account of the relation of the book’s classical stable homotopy theory results to the important, new motivic stable homotopy theory of Morel-Voevodsky
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Mathematics (PM, volume 273)
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Table of contents (9 chapters)
Reviews
From the reviews:
“This book is concerned with homotopy theoretical approaches to the study of the Arf-Kervaire invariant one problem … . The last chapter is an extra one in which some current themes related to the subject are described. … The bibliography contains 297 titles. … this book an excellent guide to the classical problem above.” (Haruo Minami, Zentralblatt MATH, Vol. 1169, 2009)
“This book provides a clean, self-contained treatment of a long-standing piece of algebraic topology: the Kervaire invariant one problem, and the reviewer found it a very interesting and helpful reference. … The book itself is a very pleasant read. … The reviewer found the opening quotations for each chapter especially droll. … Finally, the chapter (and book) ends with some suggestions for further reading.” (Michael A. Hill, Mathematical Reviews, Issue 2011 d)
Authors and Affiliations
Bibliographic Information
Book Title: Stable Homotopy Around the Arf-Kervaire Invariant
Authors: Victor P. Snaith
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-7643-9904-7
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2009
Hardcover ISBN: 978-3-7643-9903-0Published: 19 February 2009
eBook ISBN: 978-3-7643-9904-7Published: 28 March 2009
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XIV, 239
Topics: Algebraic Topology