This book provides an introduction to topological groups and the structure theory of locally compact abelian groups, with a special emphasis on Pontryagin-van Kampen duality, including a completely self-contained elementary proof of the duality theorem. Further related topics and applications are treated in separate chapters and in the appendix.
A carefully-written introduction to topological groups
Treats the structure theory of locally compact abelian groups
Puts an emphasis on Pontryagin-van Kampen duality
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"[...] All in all, this book achieves two main goals, it can be used as a complete introduction to the theory of topological groups, but it also provides the more advanced reader with the powerful techniques developed around the duality theory of locally compact abelian groups and its many applications. Thus, this work is a worthy successor of the celebrated monograph written by Dikranjan, Prodanov, and Stoyanov and therefore highly recommended to all people interested in the study of topological groups." 2ff7e9595c
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