Get 40% off of select print and eBooks in Engineering & Materials Science!

Atlantis Studies in Mathematics

Dimension Theory

A Selection of Theorems and Counterexamples

Authors: Charalambous, Michael G.

Free Preview
  • Presupposed topological definitions and facts are carefully recalled
  • Includes numerous exercises proving presupposed facts
  • Includes numerous exercises of further interest
  • Helpful hints accompany exercises where necessary
  • Includes plenty of material that cannot be found elsewhere
see more benefits

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-030-22232-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-030-22231-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. Moreover, it includes three new general methods for constructing spaces: Mrowka's psi-spaces, van Douwen's technique of assigning limit points to carefully selected sequences, and Fedorchuk's method of resolutions.

Accessible to readers familiar with the standard facts of general topology, the book is written in a reader-friendly style suitable for self-study. It contains enough material for one or more graduate courses in dimension theory and/or general topology. More than half of the contents do not appear in existing books, making it also a good reference for libraries and researchers.

Table of contents (32 chapters)

Table of contents (32 chapters)

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-030-22232-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-030-22231-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Dimension Theory
Book Subtitle
A Selection of Theorems and Counterexamples
Authors
Series Title
Atlantis Studies in Mathematics
Series Volume
7
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-22232-1
DOI
10.1007/978-3-030-22232-1
Hardcover ISBN
978-3-030-22231-4
Series ISSN
1875-7634
Edition Number
1
Number of Pages
X, 261
Number of Illustrations
1 b/w illustrations
Topics