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OverviewFull Product DetailsAuthor: David Barnes (Queen's University Belfast) , Constanze Roitzheim (University of Kent, Canterbury)Publisher: Cambridge University Press Imprint: Cambridge University Press Dimensions: Width: 15.80cm , Height: 2.70cm , Length: 23.40cm Weight: 0.700kg ISBN: 9781108482783ISBN 10: 1108482783 Pages: 430 Publication Date: 26 March 2020 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction; 1. Basics of stable homotopy theory; 2. Sequential spectra and the stable homotopy category; 3. The suspension and loop functors; 4. Triangulated categories; 5. Modern categories of spectra; 6. Monoidal structures; 7. Left Bousfield localisation; Appendix. Model categories; References; Index.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 '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 Author InformationDavid Barnes is Senior Lecturer in Mathematics at Queen's University Belfast. His work focuses on stable homotopy theory, usually with either a monoidal or equivariant flavour, often using algebra to describe the structures in question. Constanze Roitzheim is Senior Lecturer in Mathematics at the University of Kent, Canterbury. Her work focuses on localisations of the stable homotopy category and related questions in algebra. Tab Content 6Author Website:Countries AvailableAll regions |