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The K-Theory of Triangulated Categories

In: Handbook of K-Theory

Author

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  • Amnon Neeman

    (The Australian National University, Centre for Mathematics and its Applications, Mathematical Sciences Institute)

Abstract

The purpose of this survey is to explain the open problems in the K-theory of triangulated categories. The survey is intended to be very easy for non-experts to read; I gave it to a couple of fourth-year undergraduates, who had little trouble with it. Perhaps the hardest part is the first section, which discusses the history of the subject. It is hard to give a brief historical account without assuming prior knowledge. The students are advised to skip directly to Sect. 4.2.

Suggested Citation

  • Amnon Neeman, 2005. "The K-Theory of Triangulated Categories," Springer Books, in: Eric M. Friedlander & Daniel R. Grayson (ed.), Handbook of K-Theory, chapter 0, pages 1011-1078, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27855-9_20
    DOI: 10.1007/978-3-540-27855-9_20
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