The Whitehead Problem and Suslin’s problem

Specialeforsvar: Andreas Munch Mikkelsen

Titel:  The Whitehead Problem and Suslin’s problem

Abstract: In this thesis I prove the independence of Whitehead’s problem in homological algebra And Suslin’s problem in order theory. In order to do this, I define the combinatorial principle ◊_E , the diamond principle ◊ and Martin’s axiom, prove certain elementary consequences of these axioms, and use them in the independence proofs. I also discuss what these principles seem to say about the size of the set-theoretic universe. 

Vejledere:  Henrik G. Holm, Asger D. Törnquist
Censor:       Jens Kaad, SDU