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Algebraic Models of Disconnected Equivariant Spaces

ISBN: 8323115303
INTRODUCTION CHAPTER l. CATEGORICAL ASPECT OF EQUIVARIANT HOMOTOPY: * Homotopy Kan extension and its applications, * Localization in simplicially enriched categories, * Fibre-wise localization and topological applications, CHAPTER 2. EQUIVARIANT HOMOLOGY THEORY: * Preliminaries, * Cohomology for J-spaces, * Applications, CHAPTER 3. RATIONALIZATION OF DISCONNECTED G-NILPOTENT SIMPLICIAL SETS: * Injective modules over a small category, * Object-wise tensor product of functors to modules, * Algebras over a category, * Cofibrant minimal models and formality, * Injective minimal models, * Applications to rational homotopy theory, CHAPTER 4. MOORE G-SPACES: * Background, * Comultiplications, * An example, REFERENCES INDEX

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