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Grothendieck groups of complexes with null-homotopies

Published online by Cambridge University Press:  13 March 2014

Daniel Dugger
Daniel Dugger*
Affiliation:
Department of Mathematics, University of Oregon, Eugene, OR 97403, USA, ddugger@uoregon.edu
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Abstract

This paper uses differential-graded methods to give a streamlined proof of a theorem of Foxby-Halvorson. The theorem states that certain relative K-groups made from complexes with bounded (but arbitrarily long) length coincide with similar K-groups in which one sets an absolute bound on the length of the complexes.

Keywords

Relative K-theorybounded complexes19A99
Type
Research Article
Information
Journal of K-Theory , Volume 13 , Issue 3 , June 2014 , pp. 517 - 531
Copyright
Copyright © ISOPP 2014 

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References

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