Algebraic K-Theory

  • Bjørn Ian Dundas
  • Thomas G. Goodwillie
  • Randy McCarthy
Part of the Algebra and Applications book series (AA, volume 18)


This chapter begins with a nontechnical overview of algebraic K-theory, including some historical motivation and its development. This is followed by the introduction of Waldhausen’s S-construction and proofs of its essential first properties. Finally, algebraic K-theory is compared with the homology of categories, providing a first model for the “differential” of algebraic K-theory.


Abelian Group Fundamental Group Projective Module Homotopy Group Lens Space 
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Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  • Bjørn Ian Dundas
    • 1
  • Thomas G. Goodwillie
    • 2
  • Randy McCarthy
    • 3
  1. 1.Department of MathematicsUniversity of BergenBergenNorway
  2. 2.Mathematics DepartmentBrown UniversityProvidenceUSA
  3. 3.Department of MathematicsUniversity of IllinoisUrbanaUSA

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