Algebraic Models of Disconnected Equivariant Spaces

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

Marek Golasiński