Topological Groups and the Pontryagin-van Kampen Duality
Lydia Außenhofer, Dikran Dikranjan, Anna Giordano Bruno
Abstract
This book provides an introduction to topological groups and the structure theory of locally compact abelian groups, with a special emphasis on Pontryagin-van Kampen duality, including a completely self-contained elementary proof of the duality theorem. Further related topics and applications are treated in separate chapters and in the appendix.
Topics & Concepts
Pontryagin's minimum principleDuality (order theory)MathematicsTopology (electrical circuits)Pure mathematicsCombinatoricsMathematical optimizationOptimal controlGeometric and Algebraic TopologyHomotopy and Cohomology in Algebraic TopologyAdvanced Operator Algebra Research