Contents Abstract viii Acknowledgments ix Introduction 1 1. Principal results 4 2. Preliminaries 8 3. Some algebraic and set-theoretic properties of pseudocompact groups 18 4. Three technical lemmas 31 5. Pseudocompact group topologies on V-free groups 36 6. Pseudocompact topologies on torsion Abelian groups 43 7. Pseudocompact connected group topologies on Abelian groups 48 8. Pseudocompact topologizations versus compact ones 57 9. Some diagrams and open questions 64 10. Diagram 2 68 11. Diagram 3 69 Bibliography 76
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