Problem Books in Mathematics

A Cp-Theory Problem Book

Special Features of Function Spaces

Authors: Tkachuk, Vladimir V

  • Contains a wide variety of top-notch methods and results of Cp-theory and general topology presented with detailed proofs
  • Provides introductions to both descriptive and advanced set theory
  • Presents and classifies 100 open problems in Cp-theory and explains their relationship to earlier research
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eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-04747-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-3-319-04746-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-37794-0
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

This work is a continuation of the first volume published by Springer in 2011, entitled "A Cp-Theory Problem Book: Topological and Function Spaces." The first volume 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. This present volume covers a wide variety of topics in Cp-theory and general topology at the professional level bringing the reader to the frontiers of modern research. The volume contains 500 problems and exercises with complete solutions. It can also be used as an introduction to advanced set theory and descriptive set theory. The book presents diverse topics of the theory of function spaces with the topology of pointwise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from these areas of research. Moreover, this book gives a reasonably complete coverage of Cp-theory through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research.

About the authors

Vladimir V. Tkachuk is a professor in the Department of Mathematics of Autonomous Metropolitan University in Mexico City. He holds a PhD from Moscow State University and is the author of "A Cp-Theory Problem Book: Topological and Function Spaces" (Springer, 2011).

Reviews

“This is a well-written and very interesting book from several points of view and can be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide for specialists working in Cp-theory and related topics. … I hope that this book becomes the right hand of students and researchers in mathematics.” (Dimitrios N. Georgiou, Mathematical Reviews, May, 2015)

“This volume, devoted to special properties of function spaces, is divided into four chapters … . The concise beginning of each section contains definitions of topics used in that section. … this problem book will become one of the table books for all researchers interested in Cp-theory and its relations with other fields of mathematics.” (Ljubiša D. Kočinac, zbMATH, Vol. 1303, 2015)

Table of contents (4 chapters)

  • Duality Theorems and Properties of Function Spaces

    Tkachuk, Vladimir V.

    Pages 1-43

  • Solutions of Problems 001–500

    Tkachuk, Vladimir V.

    Pages 45-526

  • Bonus Results: Some Hidden Statements

    Tkachuk, Vladimir V.

    Pages 527-537

  • Open Problems

    Tkachuk, Vladimir V.

    Pages 539-555

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-04747-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-3-319-04746-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-37794-0
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
A Cp-Theory Problem Book
Book Subtitle
Special Features of Function Spaces
Authors
Series Title
Problem Books in Mathematics
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-04747-8
DOI
10.1007/978-3-319-04747-8
Hardcover ISBN
978-3-319-04746-1
Softcover ISBN
978-3-319-37794-0
Series ISSN
0941-3502
Edition Number
1
Number of Pages
XIV, 583
Topics