The book is based on lectures given at the author's home institution, the Tata Institute in Bombay, and elsewhere. With its connections to algebra, algebraic geometry, topology, and number theory, algebraic k-theory has implications for a wide variety of researchers and graduate students in mathematics. A detailed appendix on topology was provided in the first edition to make the treatment accessible to readers with a limited background in topology. This new edition also includes an appendix on algebraic geometry that contains the required definitions and results needed to understand the core of the book; this makes the book accessible to a wider audience.
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Research
Editions-Typ
Produkt-Hinweis
Broschur/Paperback
Klebebindung
Illustrationen
Maße
Höhe: 236 mm
Breite: 156 mm
Dicke: 22 mm
Gewicht
ISBN-13
978-0-8176-4736-0 (9780817647360)
DOI
10.1007/978-0-8176-4739-1
Schweitzer Klassifikation
"Classical" K-Theory.- The Plus Construction.- The Classifying Space of a Small Category.- Exact Categories and Quillen's Q-Construction.- The K-Theory of Rings and Schemes.- Proofs of the Theorems of Chapter 4.- Comparison of the Plus and Q-Constructions.- The Merkurjev-Suslin Theorem.- Localization for Singular Varieties.