Part 1. Localization of model category structures: Summary of part 1 Local spaces and localization The localization model category for spaces Localization of model categories Existence of left Bousfield localizations Existence of right Bousfield localizations Fiberwise localization Part 2. Homotopy theory in model categories: Summary of part 2 Model categories Fibrant and cofibrant approximations Simplicial model categories Ordinals, cardinals, and transfinite composition Cofibrantly generated model categories Cellular model categories Proper model categories The classifying space of a small category The Reedy model category structure Cosimplicial and simplicial resolutions Homotopy function complexes Homotopy limits in simplicial model categories Homotopy limits in general model categories Index Bibliography