Open Access
2007 Compactly generated homotopy categories
Henrik Holm, Peter Jørgensen
Homology Homotopy Appl. 9(1): 257-274 (2007).

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.

Citation

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Henrik Holm. Peter Jørgensen. "Compactly generated homotopy categories." Homology Homotopy Appl. 9 (1) 257 - 274, 2007.

Information

Published: 2007
First available in Project Euclid: 5 April 2007

zbMATH: 1118.18009
MathSciNet: MR2280295

Subjects:
Primary: 16D20 , 16D40 , 16D50 , 16D90 , 16E05

Keywords: compact object , Compactly generated category , homotopy category , pure exact sequence , triangulated category

Rights: Copyright © 2007 International Press of Boston

Vol.9 • No. 1 • 2007
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