Introduction .................................................... 1
1 Derived Category of DG-Modules ............................... 7
2 Derived Categories of DG-Comodules and DG-Contramodules ..... 19
3 Coderived and Contraderived Categories of CDG-Modules ....... 25
4 Coderived Category of CDG-Comodules and Contraderived
Category of CDG-Contramodules ............................... 43
5 Comodule-Contramodule Correspondence ........................ 55
6 Koszul Duality: Conilpotent and Nonconilpotent Cases ........ 61
7 Aoo-Algebras and Curved Aoo-Coalgebras ...................... 79
8 Model Categories of DG-Modules, CDG-Comodules, and CDG-
Contramodules ............................................... 97
9 Model Categories of DG-Algebras and CDG-Coalgebras ......... 103
Appendix A. Homogeneous Koszul Duality ........................ 113
Appendix B. D-Ω Duality ....................................... 121
Bibliography .................................................. 131
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