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Pontryagin Duality and the Structure of Locally Compact Abelian Groups
Sidney A. Morris
出版Cambridge University Press, 1977-08-04
主題Mathematics / GeneralMathematics / Algebra / GeneralMathematics / Algebra / LinearMathematics / Group Theory
ISBN05212154399780521215435
URLhttp://books.google.com.hk/books?id=OmjMhK8hT20C&hl=&source=gbs_api
EBookSAMPLE
註釋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.