Developments in Mathematics

Set Function T

An Account on F. B. Jones' Contributions to Topology

Authors: Macias, Sergio

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  • Presents the set function \mathcal{T}, of great importance to the study of continuum theory, in a clear and structured way
  • Starts with a gentle introductory chapter, gradually advancing towards modern applications
  • Brings open problems that can potentially encourage topologists to advance in the field
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eBook $109.00
price for USA in USD
  • ISBN 978-3-030-65081-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-030-65080-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

This book presents, in a clear and structured way, the set function \mathcal{T} and how it evolved since its inception by Professor F. Burton Jones in the 1940s. It starts with a very solid introductory chapter, with all the prerequisite material for navigating through the rest of the book. It then gradually advances towards the main properties, Decomposition theorems, \mathcal{T}-closed sets, continuity and images, to modern applications.
The set function \mathcal{T} has been used by many mathematicians as a tool to prove results about the semigroup structure of the continua, and about the existence of a metric continuum that cannot be mapped onto its cone or to characterize spheres. Nowadays, it has been used by topologists worldwide to investigate open problems in continuum theory.
This book can be of interest to both advanced undergraduate and graduate students, and to experienced researchers as well. Its well-defined structure make this book suitable not only for self-study but also as support material to seminars on the subject. Its many open problems can potentially encourage mathematicians to contribute with further advancements in the field.

About the authors

Sergio Macías is a Professor at the Institute of Mathematics of the National Autonomous University of Mexico (UNAM). He got a Master’s degree from the same university, and a PhD from Tulane University, New Orleans, USA. His research interests lie on topology with works on continuum theory and hyperspaces of continua. Dr. Macías also authored the book “Topics on Continua” (2018, ISBN 978-3-319-90901-1), whose second edition was published by Springer.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-030-65081-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-030-65080-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Set Function T
Book Subtitle
An Account on F. B. Jones' Contributions to Topology
Authors
Series Title
Developments in Mathematics
Series Volume
67
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-65081-0
DOI
10.1007/978-3-030-65081-0
Hardcover ISBN
978-3-030-65080-3
Series ISSN
1389-2177
Edition Number
1
Number of Pages
XIV, 225
Number of Illustrations
32 b/w illustrations
Topics