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Titlebook: Algebraic K-Theory; V. Srinivas Book 19911st edition Springer Science+Business Media New York 1991 algebra.Algebraic K-theory.K-theory

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Lecture Notes in Computer Scienceove the so called “fundamental theorem” (9.8) which computes K.(A[t, t.]), and to relate the study of 0-cycles on normal surfaces to modules of finite length and finite projective dimension over the local rings at singular points. We begin with Quillen’s localisation theorem, proved in “Higher Algebraic K-theory II”.
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Springer Science+Business Media New York 1991
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,Exact Categories and Quillen’s Q-Construction,ive category ζ, satisfying suitable axioms (see Quillen’s paper for details). In all cases relevant to us, the category embeds naturally in some abelian category ., such that ζ, is closed under extensions in ..
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Fernando Osório,Bernard Amy,Adelmo Cechinive category ζ, satisfying suitable axioms (see Quillen’s paper for details). In all cases relevant to us, the category embeds naturally in some abelian category ., such that ζ, is closed under extensions in ..
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The Plus Construction,≅ GL(R), π.(BGL(R)) = 0 for i≥2, and that these properties characterise BGL(R) upto homotopy equivalence (since we are assuming that all spaces considered here have the homotopy type of a CW-complex). We give a construction of the classifying space of a discrete group in the next chapter (Example (3.10)).
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