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David 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.
'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
Formal Geometry and Bordism Operations...
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