Foundations of Stable Homotopy Theory

A comprehensive introduction to stable homotopy theory for beginning graduate students, from motivating phenomena to current research.

Inhaltsverzeichnis

Introduction; 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.

Über den Autor / die Autorin

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.

Zusammenfassung

This comprehensive introduction to stable homotopy theory presents the foundations of this often daunting subject together in one place for the first time. Writing with beginning graduate students in mind, the authors begin with the motivating phenomena before discussing the general theory and moving on to current research and applications.

Produktdetails

• Autoren: David Barnes, David (Queen's University Belfast) Barnes, David (Queen''s University Belfast) Roitzh Barnes, Constanze Roitzheim, Constanze (University of Kent Roitzheim
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 30.04.2020
• EAN: 9781108482783
• ISBN: 978-1-108-48278-3
• Seiten: 430
• Serien: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Geometrie; MATHEMATICS / Topology, Algebraic Topology