Introduction.2. Proper classes of triangles and phantom maps.3. The Steenrod and Freyd category of a triangulated category.4. Projecti¨e objects, resolutions, and deri¨ed functors.5.The phantom tower, the cellular tower, homotopy colimits, and compact objects.6.Localization and the relati¨e deri¨ed category.7. The stable triangulated category.8. Projecti¨ity, injecti¨ity, and flatness.9. Phantomless triangulated
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Apostolos Beligiannis (2000) studied this question.