The Dual Group

  • Anton Deitmar
Part of the Universitext book series (UTX)


In this chapter we further develop the general theory of LCA groups in showing that the group of all characters of a given LCA group is again an LCA group. This then paves the way for Pontryagin duality.


Abelian Group Exact Sequence Convergent Subsequence Group Homomorphism Dual Group 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Anton Deitmar
    • 1
  1. 1.Department of MathematicsUniversity of ExeterExeter, DevonUK

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