Calculation Methods in K-Theory

  • Glenys Luke
  • Alexander S. Mishchenko
Part of the Mathematics and Its Applications book series (MAIA, volume 447)


In this chapter we shall give some methods for describing the K-groups of various concrete spaces by reducing them to a description in terms of the usual cohomology groups of spaces. The methods we discuss are spectral sequences, cohomology operations and direct images. These methods cannot be used universally but they allow us to use certain geometric properties of our concrete topological spaces and manifolds.


Exact Sequence Vector Bundle Spectral Sequence Division Algebra Trivial Bundle 


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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Glenys Luke
    • 1
  • Alexander S. Mishchenko
    • 2
  1. 1.St. Hugh’s CollegeOxford UniversityOxfordUK
  2. 2.Department of MathematicsMoscow State UniversityMoscowRussia

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