Topological K-theory | Wikipedia audio article

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00:00:23 1 Definitions
00:05:16 2 Properties
00:08:53 3 Bott periodicity
00:11:02 4 Applications
00:11:30 5 Chern Character
00:13:24 6 See also



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SUMMARY
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In mathematics, topological K-theory is a branch of algebraic topology. It was founded to study vector bundles on topological spaces, by means of ideas now recognised as (general) K-theory that were introduced by Alexander Grothendieck. The early work on topological K-theory is due to Michael Atiyah and Friedrich Hirzebruch.