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: A Primer on Homotopy ColimitsA Primer on Homotopy Colimits
by - University of Oregon
This is an expository paper on homotopy colimits and homotopy limits. These are constructions which should arguably be in the toolkit of every modern algebraic topologist. Many proofs are avoided, or perhaps just sketched.
(5755 views)
Book cover: A Concise Course in Algebraic TopologyA Concise Course in Algebraic Topology
by - University Of Chicago Press
This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics. Most chapters end with problems that further explore and refine the concepts presented.
(14260 views)
Book cover: Lecture Notes on Motivic CohomologyLecture Notes on Motivic Cohomology
by - AMS
This book provides an account of the triangulated theory of motives. Its purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings.
(6035 views)
Book cover: Introduction to Characteritic Classes and Index TheoryIntroduction to Characteritic Classes and Index Theory
by - Universidade de Lisboa
This text deals with characteristic classes of real and complex vector bundles and Hirzebruch-Riemann-Roch formula. We will present a few basic but fundamental facts which should help the reader to gain a good idea of the mathematics involved.
(6048 views)