Cover Image
Read Now

Topological Groups and the Pontryagin-van Kampen Duality An Introduction

This book provides an introduction to topological groups and the structure theory of locally compact abelian groups, with a special emphasis on Pontryagin-van Kampen duality, including a completely self-contained elementary proof of the duality theorem. Further related topics and applications are tr...

Full description

Bibliographic Details
Main Author: Aussenhofer, Lydia
Other Authors: Dikranjan, Dikran, Giordano Bruno, Anna
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2022, ©2022
Series:De Gruyter Studies in Mathematics
Subjects:
Lokal Kompakte Abelsche Gruppe
Pontrjagin-dualität
Topologische Gruppe
Topological Groups
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • 1 Introduction
  • 2 Definition and examples
  • 3 General properties of topological groups
  • 4 Markov’s problems
  • 5 Cardinal invariants and metrizability
  • 6 Connectedness in topological groups
  • 7 Completeness and completion
  • 8 Compactness and local compactness – a first encounter
  • 9 Properties of ℝn and its subgroups
  • 10 Subgroups of compact groups
  • 11 The Følner theorem
  • 12 Almost periodic functions and Haar integrals
  • 13 The Pontryagin-van Kampen duality
  • 14 Applications of the duality theorem
  • 15 Pseudocompact groups
  • 16 Topological rings, fields, and modules
  • A Background on groups
  • B Background on topological spaces
  • C Background on categories and functors
  • Bibliography
  • Index of symbols
  • Index

Similar Items