Foundations of Stable Homotopy Theory (e-bog) af Roitzheim, Constanze
Roitzheim, Constanze (forfatter)

Foundations of Stable Homotopy Theory e-bog

583,01 DKK (inkl. moms 728,76 DKK)
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. This comprehensive introduction to stable homotopy theory changes that. It presents the foundations of the subject together in one place for the first time, from the motivating phenomena to ...
E-bog 583,01 DKK
Forfattere Roitzheim, Constanze (forfatter)
Udgivet 18 marts 2020
Genrer PBPD
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9781108672672
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. This comprehensive introduction to stable homotopy theory changes that. It presents the foundations of the subject together in one place for the first time, from the motivating phenomena to the modern theory, at a level suitable for those with only a first course in algebraic topology. Starting from stable homotopy groups and (co)homology theories, the authors study the most important categories of spectra and the stable homotopy category, before moving on to computational aspects and more advanced topics such as monoidal structures, localisations and chromatic homotopy theory. The appendix containing essential facts on model categories, the numerous examples and the suggestions for further reading make this a friendly introduction to an often daunting subject.