A Cp-Theory Problem Book

Topological and Function Spaces

  • Vladimir V. Tkachuk

Part of the Problem Books in Mathematics book series (PBM)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Vladimir V. Tkachuk
    Pages 1-50
  3. Vladimir V. Tkachuk
    Pages 51-433
  4. Vladimir V. Tkachuk
    Pages 435-444
  5. Vladimir V. Tkachuk
    Pages 445-463
  6. Back Matter
    Pages 465-485

About this book

Introduction

The theory of function spaces endowed with the topology of pointwise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from each of these areas of research. Through over 500 carefully selected problems and exercises, this volume provides a self-contained introduction to Cp-theory and general topology. By systematically introducing each of the major topics in Cp-theory, this volume is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research. Key features include: - A unique problem-based introduction to the theory of function spaces. - Detailed solutions to each of the presented problems and exercises. - A comprehensive bibliography reflecting the state-of-the-art in modern Cp-theory. - Numerous open problems and directions for further research. This volume can be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide for specialists studying Cp-theory and related topics. This book also provides numerous topics for PhD specialization as well as a large variety of material suitable for graduate research.

Keywords

C_p-theory General Topology Point-Set topology compactness function spaces metrizability open problems pointwise convergence

Authors and affiliations

  • Vladimir V. Tkachuk
    • 1
  1. 1.Universidad Autónoma MetropolitanaDepartamento de MatemáticasIztapalapa, Mexico CityMexico

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-7442-6
  • Copyright Information Springer Science+Business Media, LLC 2011
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-7441-9
  • Online ISBN 978-1-4419-7442-6
  • Series Print ISSN 0941-3502
  • About this book