Foundations of Stable Homotopy Theory
ISBN: 9781108636575
Platform/Publisher: Cambridge Core / Cambridge University Press
Digital rights: Users: Unlimited; Printing: Unlimited; Download: Unlimited

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.

David Barnes was born in Cleveland, Ohio and has been a life-long student of self- development and inspirational thinking. After graduating from The Ohio State University, he went to work for the Ford Motor Company. His diverse background in marketing, sales, and corporate finance put him on an executive leadership path with Ford. After ten years with the company and extensive geographical moves, David left Ford to take an executive position as Vice President of Marketing and Communications with the Dallas Symphony Orchestra.There he directed all aspects of sales, marketing, branding, and public relations for the orchestra.

David left the symphony to embark on his own consulting and to deepen his knowledge and self-development, looking for accessible ways to implement these ideas in the workplace. During this period of discovery, he studied modern and historic works of the great teachers in leadership, business, inspirational thinking, and spirituality from all traditions. David co-founded Peace Of Mind Overtures with Sue-Anne MacGregor. Together, they are building a firm dedicated to providing pathways to peace of mind for individuals, families, and businesses.

(Bowker Author Biography)


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