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Pontryagin Duality and the Structure of Locally Compact Abelian Groups / Sidney A. Morris.

By: Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 29 | London Mathematical Society Lecture Note Series ; no. 29.Publisher: Cambridge : Cambridge University Press, 1977Description: 1 online resource (140 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511600722 (ebook)
Other title:
  • Pontryagin Duality & the Structure of Locally Compact Abelian Groups
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512/.55 n/a
LOC classification:
  • QA387  .M67
Online resources: Summary: 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.
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK12131

Title from publisher's bibliographic system (viewed on 16 Oct 2015).

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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