Universal Coefficient Theorem in Triangulated Categories
✍ Scribed by Teimuraz Pirashvili; María Julia Redondo
- Publisher
- Springer Netherlands
- Year
- 2007
- Tongue
- English
- Weight
- 309 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1386-923X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
It is a pleasure to thank Mark Hovey for the proof of Lemmas 3.6 and other help and to thank Halvard Fausk, John Greenlees, and Gaunce Lewis for careful reading and helpful comments.
We begin by showing that in a triangulated category, specifying a projective class is equivalent to specifying an ideal I of morphisms with certain properties and that if I has these properties, then so does each of its powers. We show how a projective class leads to an Adams spectral sequence and g
CONTENTS 1. 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 th