001435156 000__ 03403cam\a2200589\a\4500 001435156 001__ 1435156 001435156 003__ OCoLC 001435156 005__ 20230309003839.0 001435156 006__ m\\\\\o\\d\\\\\\\\ 001435156 007__ cr\un\nnnunnun 001435156 008__ 210327s2021\\\\sz\\\\\\ob\\\\001\0\eng\d 001435156 019__ $$a1243059765 001435156 020__ $$a9783030650810$$q(electronic bk.) 001435156 020__ $$a3030650812$$q(electronic bk.) 001435156 020__ $$z9783030650803 001435156 020__ $$z3030650804 001435156 0247_ $$a10.1007/978-3-030-65081-0$$2doi 001435156 035__ $$aSP(OCoLC)1243538470 001435156 040__ $$aEBLCP$$beng$$epn$$cEBLCP$$dGW5XE$$dYDX$$dOCLCO$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ$$dOCLCO$$dCOM$$dSFB$$dOCLCQ 001435156 049__ $$aISEA 001435156 050_4 $$aQA312 001435156 08204 $$a515/.42$$223 001435156 08204 $$a514$$223 001435156 1001_ $$aMacías, Sergio,$$d1961- 001435156 24510 $$aSet function T :$$ban account on F. B. Jones' contributions to topology /$$cSergio Macías. 001435156 260__ $$aCham :$$bSpringer,$$c2021. 001435156 300__ $$a1 online resource (234 pages) 001435156 336__ $$atext$$btxt$$2rdacontent 001435156 337__ $$acomputer$$bc$$2rdamedia 001435156 338__ $$aonline resource$$bcr$$2rdacarrier 001435156 4901_ $$aDevelopments in Mathematics ;$$vv. 67 001435156 504__ $$aIncludes bibliographical references and index. 001435156 5050_ $$aPreliminaries -- The Set Function T -- Decomposition Theorems -- T-Closed Sets -- Continuity of T -- Images of T -- Applications -- Questions -- References -- Index. 001435156 506__ $$aAccess limited to authorized users. 001435156 520__ $$aThis book presents, in a clear and structured way, the set function \mathcal{T} and how it evolved since its inception by Professor F. Burton Jones in the 1940s. It starts with a very solid introductory chapter, with all the prerequisite material for navigating through the rest of the book. It then gradually advances towards the main properties, Decomposition theorems, \mathcal{T}-closed sets, continuity and images, to modern applications. The set function \mathcal{T} has been used by many mathematicians as a tool to prove results about the semigroup structure of the continua, and about the existence of a metric continuum that cannot be mapped onto its cone or to characterize spheres. Nowadays, it has been used by topologists worldwide to investigate open problems in continuum theory. This book can be of interest to both advanced undergraduate and graduate students, and to experienced researchers as well. Its well-defined structure make this book suitable not only for self-study but also as support material to seminars on the subject. Its many open problems can potentially encourage mathematicians to contribute with further advancements in the field. 001435156 588__ $$aDescription based on print version record. 001435156 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 5, 2021). 001435156 60010 $$aJones, F. Burton. 001435156 650_0 $$aSet functions. 001435156 650_0 $$aTopology. 001435156 650_6 $$aFonctions d'ensemble. 001435156 650_6 $$aTopologie. 001435156 655_7 $$aLlibres electrònics.$$2thub 001435156 655_0 $$aElectronic books. 001435156 77608 $$iPrint version:$$aMacías, Sergio$$tSet Function T$$dCham : Springer International Publishing AG,c2021$$z9783030650803 001435156 830_0 $$aDevelopments in mathematics ;$$vv. 67. 001435156 852__ $$bebk 001435156 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-65081-0$$zOnline Access$$91397441.1 001435156 909CO $$ooai:library.usi.edu:1435156$$pGLOBAL_SET 001435156 980__ $$aBIB 001435156 980__ $$aEBOOK 001435156 982__ $$aEbook 001435156 983__ $$aOnline 001435156 994__ $$a92$$bISE