Introduction to Topological Groups
by Dikran Dikranjan
Publisher: UCM 2007
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
The Homology of Iterated Loop Spacesby F. R. Cohen, T. J. Lada, P. J. May - Springer
A thorough treatment of homology operations and of their application to the calculation of the homologies of various spaces. The book studies an up to homotopy notion of an algebra over a monad and its role in the theory of iterated loop spaces.
(12048 views)
Equivariant Stable Homotopy Theoryby G. Jr. Lewis, J. P. May, M. Steinberger, J. E. McClure - Springer
Our purpose is to establish the foundations of equivariant stable homotopy theory. We shall construct a stable homotopy category of G-spectra,and use it to study equivariant duality, equivariant transfer, the Burnside ring, and related topics.
(15981 views)
H Ring Spectra and Their Applicationsby R. R. Bruner, J. P. May, J. E. McClure, M. Steinberger - Springer
This volume concerns spectra with enriched multiplicative structure. It is a truism that interesting cohomology theories are represented by ring spectra, the product on the spectrum giving rise to the cup products in the theory.
(11442 views)
Introduction to Characteritic Classes and Index Theoryby Jean-Pierre Schneiders - 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.
(11867 views)