Algebraic proofs of some fundamental theorems in algebraic $K$-theory

@article{Harris2013AlgebraicPO,
  title={Algebraic proofs of some fundamental theorems in algebraic \$K\$-theory},
  author={T. Harris},
  journal={arXiv: K-Theory and Homology},
  year={2013}
}
  • T. Harris
  • Published 2013
  • Mathematics
  • arXiv: K-Theory and Homology
    • We present news 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. 
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    4 Citations
    4 Citations
    Citation Type

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    References

    SHOWING 1-10 OF 11 REFERENCES
    The additivity theorem in algebraic K-theory
    • 6
    • PDF
    On fundamental theorems of algebraic K-theory
    • 35
    • PDF
    The K-Book: An Introduction to Algebraic K-Theory
    • 185
    • PDF
    Relative algebraic K-theory by elementary means
    • 3
    • PDF
    Higher Algebraic K-Theory of Schemes and of Derived Categories
    • 841
    • PDF
    Localization for flat modules in algebraic K-theory
    • 32
    Exact Categories
    • 361
    • PDF
    Staffeldt, On fundamental theorems of algebraic K-theory, K-Theory
    • 1989
    Higher algebraic K-theory. I, Algebraic K-theory, I: Higher K-theories
    • (Proc. Conf., Battelle Memorial Inst.,
    • 1973
    Higher algebraic K-theory: I
    • 1,768