Introduction to Topological Groups by Dikran Dikranjan
Publisher: UCM 2007
Number of pages: 69
These notes provide a brief introduction to topological groups with a special emphasis on Pontryaginvan Kampen's duality theorem for locally compact abelian groups. We give a completely self-contained elementary proof of the theorem. According to the classical tradition, the structure theory of the locally compact abelian groups is built parallelly.
Mathematics Geometry & Topology Topology Algebraic