Logo

Introduction to Topological Groups

Introduction to Topological Groups
by

Publisher: UCM
Number of pages: 69

Description:
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: sclscl
by - Mathematical Society of Japan
This is a comprehensive introduction to the theory of stable commutator length, an important subfield of quantitative topology, with substantial connections to 2-manifolds, dynamics, geometric group theory, bounded cohomology, symplectic topology.
(8982 views)
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.
(10698 views)
Book cover: Topology IllustratedTopology Illustrated
by - Intelligent Perception
The text follows the content of a fairly typical, two-semester, first course in topology. Some of the topics are: the shape of the universe, configuration spaces, digital image analysis, data analysis, social choice, and, of course, calculus.
(10239 views)
Book cover: Algebraic and Geometric TopologyAlgebraic and Geometric Topology
by - Springer
The book present original research on a wide range of topics in modern topology: the algebraic K-theory of spaces, the algebraic obstructions to surgery and finiteness, geometric and chain complexes, characteristic classes, and transformation groups.
(15000 views)