A Cp-Theory Problem Book

Compactness in 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 1-46
  3. Vladimir V. Tkachuk
    Pages 47-457
  4. Vladimir V. Tkachuk
    Pages 459-472
  5. Vladimir V. Tkachuk
    Pages 473-492
  6. Back Matter
    Pages 493-524

About this book


This third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis. The text is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research covering a wide variety of topics in Cp-theory and general topology at the professional level. 

The first volume, Topological and Function Spaces © 2011, provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. The second volume, Special Features of Function Spaces © 2014, continued from the first, giving reasonably complete coverage of Cp-theory, systematically introducing each of the major topics and providing 500 carefully selected problems and exercises with complete solutions. This third volume is self-contained and works in tandem with the other two, containing five hundred carefully selected problems and solutions. It can also be considered as an introduction to advanced set theory and descriptive set theory, presenting diverse topics of the theory of function spaces with the topology of point wise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology.


Cp-theory additional axioms ZFC descriptive set theory function spaces pointwise convergence set theory

Authors and affiliations

  • Vladimir V. Tkachuk
    • 1
  1. 1.Departamento de MatematicasUniversidad Autonoma MetropolitanaIztapalapaMexico

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-16091-7
  • Online ISBN 978-3-319-16092-4
  • Series Print ISSN 0941-3502
  • Series Online ISSN 2197-8506
  • Buy this book on publisher's site