ALGEBRAIC MODELS OF DISCONNECTED EQUIVARIANT SPACES

GOLASIŃSKI M.

wydawnictwo: WYD UMK , rok wydania 2003, wydanie I

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Table of Contents

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

156 pages, Paperback

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