Pontryagin duality and the structure of locally compact abelian groups /
Morris, Sidney A., 1947-
Pontryagin duality and the structure of locally compact abelian groups / Pontryagin Duality & the Structure of Locally Compact Abelian Groups Sidney A. Morris. - Cambridge : Cambridge University Press, 1977. - 1 online resource (viii, 128 pages) : digital, PDF file(s). - London Mathematical Society lecture note series ; 29 . - London Mathematical Society lecture note series ; 29. .
Title from publisher's bibliographic system (viewed on 05 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.
9780511600722 (ebook)
Locally compact Abelian groups.
Duality theory (Mathematics)
Pontrjagin duality.
QA387 / .M67 1977
512/.55
Pontryagin duality and the structure of locally compact abelian groups / Pontryagin Duality & the Structure of Locally Compact Abelian Groups Sidney A. Morris. - Cambridge : Cambridge University Press, 1977. - 1 online resource (viii, 128 pages) : digital, PDF file(s). - London Mathematical Society lecture note series ; 29 . - London Mathematical Society lecture note series ; 29. .
Title from publisher's bibliographic system (viewed on 05 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.
9780511600722 (ebook)
Locally compact Abelian groups.
Duality theory (Mathematics)
Pontrjagin duality.
QA387 / .M67 1977
512/.55