Calculation Methods in K-Theory
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.
KeywordsExact Sequence Vector Bundle Spectral Sequence Division Algebra Trivial Bundle
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