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arXiv · 1212.2143

Grothendieck groups of complexes with null-homotopies

Daniel Dugger
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Abstract

We give a streamlined proof of a theorem of Foxby and Halvorsen. The theorem states that certain relative K-groups made from chain 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.

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Daniel Dugger. 2012-12-10. Grothendieck groups of complexes with null-homotopies. https://arxiv.org/abs/1212.2143

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