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Compactly generated homotopy categories

Henrik Holm·Peter Jørgensen
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Abstract

Over an associative ring we consider a class $\mathbb{X}$ of left modules which is closed under set-indexed coproducts and direct summands. We investigate when the triangulated homotopy category $\mathsf{K}(\mathbb{X})$ is compactly generated, and give a number of examples.

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Henrik Holm, Peter Jørgensen. 2006-09-11. Compactly generated homotopy categories. https://arxiv.org/abs/math/0609313

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