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Set Function T - An Account on F. B. Jones' Contributions to Topology (Hardcover, 1st ed. 2021)
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Set Function T - An Account on F. B. Jones' Contributions to Topology (Hardcover, 1st ed. 2021)
Series: Developments in Mathematics, 67
Expected to ship within 12 - 17 working days
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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.
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