CONTENTS 0. Introduction..............................................................................................5 1. Notation and results from the literature....................................................6 2. Extending a topology: Some negative results........................................10 3. Finding dense subgroups: Some negative results.................................12 4. Extensions and dense subgroups: Some positive results......................14 5. Extremal pseudocompact Abelian groups: The case $x^p ≡ 1$.............24 6. Recognizing pseudocompact groups.....................................................32 7. Extremal pseudocompact Abelian groups: The 0-dimensional case......37 References................................................................................................41
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