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Set Function T = An Account on F. B. Jones' Contributions to Topology /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Set Function T/ by Sergio Macías.
Reminder of title:	An Account on F. B. Jones' Contributions to Topology /
Author:	Macías, Sergio.
Description:	XIV, 225 p. 32 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Topology. -
Online resource:	https://doi.org/10.1007/978-3-030-65081-0
ISBN:	9783030650810

Set Function T = An Account on F. B. Jones' Contributions to Topology /
Macías, Sergio.

Set Function TAn Account on F. B. Jones' Contributions to Topology /[electronic resource] :by Sergio Macías. - 1st ed. 2021. - XIV, 225 p. 32 illus.online resource. - Developments in Mathematics,672197-795X ;. - Developments in Mathematics,41.

Preliminaries -- The Set Function T -- Decomposition Theorems -- T-Closed Sets -- Continuity of T -- Images of T -- Applications -- Questions -- References -- Index.

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.

ISBN: 9783030650810

Standard No.: 10.1007/978-3-030-65081-0doiSubjects--Topical Terms:

633483
Topology.

LC Class. No.: QA611-614.97

Dewey Class. No.: 514

Set Function T = An Account on F. B. Jones' Contributions to Topology /
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