Pontryagin Duality and the Structure of Locally Compact Abelian Groups

Released on by Sidney A. Morris
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  • Pontryagin Duality and the Structure of Locally Compact Abelian Groups Book Detail

  • Author : Sidney A. Morris
  • Release Date : 1977-08-04
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 141
  • ISBN 13 : 0521215439
  • File Size : 13,13 MB
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Pontryagin Duality and the Structure of Locally Compact Abelian Groups by Sidney A. Morris PDF Summary

Book Description: These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses.

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Introduction to Topological Groups

Introduction to Topological Groups

File Size : 43,43 MB
Total View : 2677 Views
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Concise treatment covers semitopological groups, locally compact groups, Harr measure, and duality theory and some of its applications. The volume concludes wit