K-Theory
by Michael Atiyah · Michael Atiyah
Atiyah's classic lecture notes on topological K-theory, built from vector bundles over compact spaces. Covers the Bott periodicity theorem, operations on K-groups and Adams operations, preparing readers to use K-theory as a generalized cohomology theory in algebraic topology.
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More resources on K-Theory
Wolfram MathWorld
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nLab: K-theory
The nLab wiki entry on K-theory, a collaborative research-level reference surveying topological, algebraic, and operator K-theory and their formulation as generalized cohomology theories and spectra. Useful for seeing how the variants relate within higher category theory.
nLab
Collaborative wiki for mathematics, physics and philosophy written from a category-theoretic viewpoint, with cross-linked entries on categories, functors, adjunctions, topos theory, higher category theory and homotopy theory. Readers can look up precise definitions, examples and references for advanced structural mathematics.