Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence / [electronic resource] Leonid Positselski.
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TextSeries: Memoirs of the American Mathematical Society ; no. 996.Publication details: Providence, R.I. : American Mathematical Society, 2011Description: 1 online resource (v, 133 p.)ISBN: 9781470406134 (online)Subject(s): Derived categories (Mathematics) | Triangulated categories | Comodules | Koszul algebrasAdditional physical formats: Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence /DDC classification: 512/.46 LOC classification: QA169 | .P67 2011Online resources: Contents | Contents 
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"July 2011, volume 212, number 996 (first of 4 numbers)."
Includes bibliographical references (p. 131-133).
Introduction 1. Derived category of DG-modules 2. Derived categories of DG-comodules and DG-contramodules 3. Coderived and contraderived categories of CDG-modules 4. Coderived category of CDG-comodules and contraderived category of CDG-contramodules 5. Comodule-contramodule correspondence 6. Koszul duality: Conilpotent and nonconilpotent cases 7. $A_\infty $-algebras and curved $A_\infty $-coalgebras 8. Model categories of DG-modules, CDG-comodules, and CDG-contramodules 9. Model categories of DG-algebras and CDG-coalgebras Appendix A. Homogeneous Koszul duality Appendix B. $\mathcal {D}$-$\Omega $ duality
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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