The K-Theory of Triangulated Categories

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

Chapter V.4 in Handbook of K-Theory, 2005, pp 1011-1078 from Springer

Abstract: 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.

Keywords: Exact Sequence; Chain Complex; Short Exact Sequence; Loop Space; Abelian Category (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27855-9_20

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DOI: 10.1007/978-3-540-27855-9_20

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