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Set Function T = An Account on F. B....
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Set Function T = An Account on F. B. Jones' Contributions to Topology /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Set Function T/ by Sergio Macías.
其他題名:
An Account on F. B. Jones' Contributions to Topology /
作者:
Macías, Sergio.
面頁冊數:
XIV, 225 p. 32 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Geometry. -
電子資源:
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 T
An 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:
579899
Geometry.
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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