Problem Books in Mathematics

A Cp-Theory Problem Book

Functional Equivalencies

Authors: Tkachuk, Vladimir V.

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  • Contains a wide variety of top-notch methods and results of Cp-theory and general topology presented with detailed proofs
  • Presents and classifies 100 open problems in Cp-theory explaining their relationship with previous research
  • Introduces the reader to the theories of u-equivalent spaces and l-equivalent spaces
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eBook 29,74 €
59,49 € (listprice)
price for Spain (gross)
valid through June 30, 2019
  • ISBN 978-3-319-24385-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 36,39 €
72,79 € (listprice)
price for Spain (gross)
valid through June 30, 2019
  • ISBN 978-3-319-24383-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 36,39 €
72,79 € (listprice)
price for Spain (gross)
valid through June 30, 2019
  • ISBN 978-3-319-79616-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This fourth volume in Vladimir Tkachuk's series on Cp-theory gives reasonably complete coverage of the theory of functional equivalencies 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. The book presents complete and up-to-date information on the preservation of topological properties by homeomorphisms of function spaces.  An exhaustive theory of t-equivalent, u-equivalent and l-equivalent spaces is developed from scratch.   The reader will also find introductions to the theory of uniform spaces, the theory of locally convex spaces, as well as  the theory of inverse systems and dimension theory. Moreover, the inclusion of Kolmogorov's solution of Hilbert's Problem 13 is included as it is needed for the presentation of the theory of l-equivalent spaces. This volume contains the most important classical results on functional equivalencies, in particular,  Gul'ko and Khmyleva's example of  non-preservation of  compactness by t-equivalence, Okunev's method of constructing  l-equivalent spaces and the theorem of Marciszewski and Pelant on u-invariance of absolute Borel sets.

About the authors

Vladimir V. Tkachuk is a professor in the Department of Mathematics of the Autonomous Metropolitan University in Mexico City. He holds a PhD from Moscow State University and is the author of A Cp-Theory Problem Book: Compactness in Function Spaces (Springer, 2015)A Cp-Theory Problem Book: Special Features of Function Spaces (Springer, 2014) and A Cp-Theory Problem Book: Topological and Function Spaces (Springer, 2011). All volumes have published in the Problem Books in Mathematics series.

Reviews

“The book presents a systematic exposition of functional equivalences of Tychonoff spaces and provides many major results and methods in the area of C p -theory … . intended for graduate and postgraduate students and for all those who are interested in learning more advanced results and investigation in this dynamic area of topology … . a valuable reference source for several areas of general topology that can help to inform and direct future independent research.” (Ljubiša D. Kočinac, zbMATH 1354.54001, 2017)


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Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook 29,74 €
59,49 € (listprice)
price for Spain (gross)
valid through June 30, 2019
  • ISBN 978-3-319-24385-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 36,39 €
72,79 € (listprice)
price for Spain (gross)
valid through June 30, 2019
  • ISBN 978-3-319-24383-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 36,39 €
72,79 € (listprice)
price for Spain (gross)
valid through June 30, 2019
  • ISBN 978-3-319-79616-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
A Cp-Theory Problem Book
Book Subtitle
Functional Equivalencies
Authors
Series Title
Problem Books in Mathematics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-24385-6
DOI
10.1007/978-3-319-24385-6
Hardcover ISBN
978-3-319-24383-2
Softcover ISBN
978-3-319-79616-1
Series ISSN
0941-3502
Edition Number
1
Number of Pages
XIV, 727
Topics