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Set Function T: An Account on F. B. Jones' Contributions to Topology
Set Function T: An Account on F. B. Jones' Contributions to Topology
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- More about Set Function T: An Account on F. B. Jones' Contributions to Topology
The book "The Set Function Mathcal{T}" provides a clear and structured presentation of the set function Mathcal{T} and its evolution since its inception by Professor F. Burton Jones in the 1940s. It covers introductory material, decomposition theorems, Mathcal{T}-closed sets, continuity and images, and modern applications. Mathcal{T} has been used to prove results about the semigroup structure of continua and the existence of a metric continuum that cannot be mapped onto its cone. It is of interest to advanced undergraduate and graduate students, and experienced researchers, and its well-defined structure makes it suitable for self-study and seminar support.
Format: Paperback / softback
Length: 225 pages
Publication date: 20 March 2022
Publisher: Springer Nature Switzerland AG
This comprehensive book delves into the realm of the set function mathcal{T}, tracing its evolution since its inception by Professor F. Burton Jones in the 1940s. It begins with a solid introductory chapter, providing all the necessary prerequisites for navigating the remainder of the text. Gradually, it progresses towards the core properties, including Decomposition theorems, mathcal{T}-closed sets, continuity and images, and their modern applications. Widely employed by mathematicians to prove results about the semigroup structure of continua and the existence of a metric continuum that cannot be mapped onto its cone or characterized by spheres, mathcal{T} has become a valuable tool in the hands of topologists worldwide. This book appeals to advanced undergraduate and graduate students, as well as experienced researchers, thanks to its well-defined structure. It serves as an excellent resource for self-study and can also be used as support material for seminars on the subject. With numerous open problems, this book encourages mathematicians to contribute further advancements to the field.
Weight: 373g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030650834
Edition number: 1st ed. 2021
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