Download or read book Set Function T written by Sergio Macías and published by Springer Nature. This book was released on 2021-04-20 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Continuous Mappings on Continua written by T. Maćkowiak and published by . This book was released on 1984 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Handbook of the History of General Topology written by C.E. Aull and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.

Download or read book On Decompositions of Hausdorff Continua written by Zbigniew M. Rakowski and published by . This book was released on 1980 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Decompositions of Manifolds written by and published by Academic Press. This book was released on 1986-12-22 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decompositions of Manifolds

Download or read book Continua Decompositions Manifolds written by R. H. Bing and published by . This book was released on 1983-07 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Continuum Theory written by Sam Nadler and published by CRC Press. This book was released on 2017-07-12 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for either a semester or year course for graduate students of mathematics who have had at least one course in topology. Introduces continuum theory through a combination of classical and modern techniques. Annotation copyright Book News, Inc. Portland, Or.

Download or read book Topics on Continua written by Sergio Macías and published by Springer. This book was released on 2018-07-24 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a significant companion text to the existing literature on continuum theory. It opens with background information of continuum theory, so often missing from the preceding publications, and then explores the following topics: inverse limits, the Jones set function T, homogenous continua, and n-fold hyperspaces. In this new edition of the book, the author builds on the aforementioned topics, including the unprecedented presentation of n-fold hyperspace suspensions and induced maps on n-fold hyperspaces. The first edition of the book has had a remarkable impact on the continuum theory community. After twelve years, this updated version will also prove to be an excellent resource within the field of topology.

Download or read book Topics on Continua written by Sergio Macias and published by CRC Press. This book was released on 2005-05-26 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Specialized as it might be, continuum theory is one of the most intriguing areas in mathematics. However, despite being popular journal fare, few books have thoroughly explored this interesting aspect of topology. In Topics on Continua, Sergio Macias, one of the field's leading scholars, presents four of his favorite continuum topics: inv

Download or read book Rozprawy Matematyczne written by and published by . This book was released on 1988 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dissertationes Mathematicae written by and published by . This book was released on 1966 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fundamenta Mathematicae written by and published by . This book was released on 1981 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Monotone Decompositions of Irreducible Continua written by Edward Sandusky Thomas and published by . This book was released on 1966 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Continua written by Howard Cook and published by CRC Press. This book was released on 2020-12-18 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the special session on Modern Methods in Continuum Theory presented at the 100th Annual Joint Mathematics Meetings held in Cincinnati, Ohio. It also features the Houston Problem Book which includes a recently updated set of 200 problems accumulated over several years at the University of Houston.;These proceedings and problems are aimed at pure and applied mathematicians, topologists, geometers, physicists and graduate-level students in these disciplines.

Download or read book Open Problems in Topology II written by Elliott M. Pearl and published by Elsevier. This book was released on 2011-08-11 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis.* New surveys of research problems in topology* New perspectives on classic problems* Representative surveys of research groups from all around the world

Download or read book Some Applications of the Topological Degree Theory to Multi valued Boundary Value Problems written by Tadeusz Pruszko and published by . This book was released on 1984 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Free Topological Vector Spaces written by Joe Flood and published by . This book was released on 1984 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: