Topological Groups and the Pontryagin-van Kampen Duality: An Introduction

by Lydia Außenhofer, Dikran Dikranjan, Anna Giordano Bruno

Overview

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.

Product Details

ISBN-13:	9783110653557
Publisher:	De Gruyter
Publication date:	11/22/2021
Series:	De Gruyter Studies in Mathematics , #83
Sold by:	Barnes & Noble
Format:	eBook
Pages:	392
File size:	64 MB
Note:	This product may take a few minutes to download.
Age Range:	18 Years

About the Author

Lydia Außenhofer, University of Passau, Germany; Dikran Dikranjan and Anna Giordano Bruno, University of Udine, Italy.

Editorial Reviews

"[...] 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."

Prof. Salvador Hernández-Muñoz, Universitat Jaume I, Spain, February 2022

From the Publisher