Foundations of Stable Homotopy Theory
«'Especially as it seems to be very carefully written, I expect that it will become a standard textbook in the field.' Julie Bergner, zbMATH»
The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles and decades. There is much folklore but very few easy entry points. Les mer
Detaljer
- Forlag
- Cambridge University Press
- Innbinding
- Innbundet
- Språk
- Engelsk
- ISBN
- 9781108482783
- Utgivelsesår
- 2020
- Format
- 23 x 16 cm
Anmeldelser
«'Especially as it seems to be very carefully written, I expect that it will become a standard textbook in the field.' Julie Bergner, zbMATH»
«'This is a useful contribution to the literature. As well as nurturing budding stable homotopy theorists, it could also serve as a resource for researchers whose primary interest is not stable homotopy theory, but who seek an understanding of such techniques.' Geoffrey M. L. Powell, Mathematical Reviews»
«'The authors have made great efforts to ensure that the book is accessible to those who are not already experts in the area. The topics have been carefully chosen, and the exposition includes not just the technical details but also provides historical and motivational context for many of the important ideas.' Dan Isaksen, MAA Reviews»
«'The stated goal of the authors is to provide an accessible entry point to stable homotopy theory for first-year graduate students. The necessary prerequisites are good undergraduate knowledge of point-set topology and algebraic topology. Barnes and Roitzheim achieve their goal within the first three chapters by discussing a large collection of examples. Included among them are the Spanier-Whitehead category, sequential spectra, the stable homotopy category, and two important functors, namely the suspension and the loop functors.' M. Bona, Choice»