Informally, K-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebraic and geometric questions. Algebraic $K$-theory, which is the main character of this book, deals mainly with studying the structure of rings. However, it turns out that even working in a purely algebraic context, one requires techniques from homotopy theory to construct the higher $K$-groups and to perform computations.
Lieferbar
ISBN | 9780821891322 |
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Sprache | eng |
Cover | Fester Einband |
Verlag | American Mathematical Society |
Jahr | 20140924 |
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