6.1 Internal subuniverses

    6.1a Some basic definitions and results  
    6.1b Relative standardness 
    6.1c Simple relative standardness 
    6.1d Gordon classes 
    6.1e Associated structures 
    6.1f More on internal subuniverses 
    6.1g Appendix: Kunen's theorem 
    
6.2 Partially saturated internal universes

    6.2a Partially saturated classes I_\kappa  
    6.2b Good internal subuniverses 
    6.2c Internal universes over complete sets 
    
6.3 External universes

    6.3a External universes and internal core extensions 
    6.3b Von Neumann construction over non-transitive classes 
    6.3c Absoluteness for external subuniverses
    
6.4 Partially saturated external universes

    6.4a Partially saturated external theories
    6.4b Extensions of thin classes
    6.4c Constructible extensions
    6.4d Constructible extensions of self-definable classes
    6.4e The classes L[I_\kappa]
    6.4f External universes over complete sets
    6.4g Collapse onto a transitive class
    6.4h Outline of applications: subuniverses satisfying Power Set  
    
Historical and other notes to Chapter 6