Algebraic proofs of some fundamental theorems in algebraic K-theory
Algebraic proofs of some fundamental theorems in algebraic K-theory
We present new proofs of the additivity, resolution and cofinality theorems for the algebraic K-theory of exact categories. These proofs are entirely algebraic, based on Grayson's presentation of higher algebraic K-groups via binary complexes.
higher algebraic K-group, acyclic binary complex, additivity theorem, resolution theorem, cofinality theorem
267-280
Harris, Thomas
f030d37f-b4bf-4adc-bc7a-b05afe3a1655
3 June 2015
Harris, Thomas
f030d37f-b4bf-4adc-bc7a-b05afe3a1655
Harris, Thomas
(2015)
Algebraic proofs of some fundamental theorems in algebraic K-theory.
Homology, Homotopy and Applications, 17 (1), .
(doi:10.4310/HHA.2015.v17.n1.a13).
Abstract
We present new proofs of the additivity, resolution and cofinality theorems for the algebraic K-theory of exact categories. These proofs are entirely algebraic, based on Grayson's presentation of higher algebraic K-groups via binary complexes.
Text
HarrisFundamentalTheorems8.pdf
- Accepted Manuscript
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Published date: 3 June 2015
Keywords:
higher algebraic K-group, acyclic binary complex, additivity theorem, resolution theorem, cofinality theorem
Organisations:
Pure Mathematics
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Local EPrints ID: 378654
URI: http://eprints.soton.ac.uk/id/eprint/378654
PURE UUID: 35224a9e-3a89-4b8c-a818-211ff222a5e5
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Date deposited: 14 Jul 2015 12:16
Last modified: 14 Mar 2024 20:26
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Author:
Thomas Harris
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