Includes bibliographical references (pages 315-320) and index.
Acknowledgments -- 1. Basic characteristics of Abelian groups -- 2. Simply presented groups -- 3. Warfield groups -- 4. Infinitary logic looks at groups -- 5. Groups with partial decomposition bases -- 6. Characters and Pontrjagin duality of locally compact abelian groups -- 7. Classifications of compact abelian groups.
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This monograph covers in a comprehensive manner the current state of classification theory with respect to infinite abelian groups. A wide variety of ways to characterise different classes of abelian groups by invariants, isomorphisms and duality principles are discussed. --