Introduction to Topological Groups

Introduction to Topological Groups

Publisher: UCM
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.

Download or read it online for free here:
Download link
(730KB, PDF)

Similar books

Book cover: Prerequisites in Algebraic TopologyPrerequisites in Algebraic Topology
by - NTNU
This is not an introductory textbook in algebraic topology, these notes attempt to give an overview of the parts of algebraic topology, and in particular homotopy theory, which are needed in order to appreciate that side of motivic homotopy theory.
Book cover: The Geometry of Iterated Loop SpacesThe Geometry of Iterated Loop Spaces
by - Springer
A paper devoted to the study of iterated loop spaces. Our goal is to develop a simple and coherent theory which encompasses most of the known results about such spaces. We begin with some history and a description of the desiderata of such a theory.
Book cover: An Introduction to Algebraic SurgeryAn Introduction to Algebraic Surgery
by - arXiv
Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory.
Book cover: The Adams-Novikov Spectral Sequence and the Homotopy Groups of SpheresThe Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres
by - Northwestern University
Contents: The Adams spectral sequence; Classical calculations; The Adams-Novikov Spectral Sequence; Complex oriented homology theories; The height filtration; The chromatic decomposition; Change of rings; The Morava stabilizer group.