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Author : Edward Sandusky Thomas
Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.F/5 ( download)
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:
Author : C.E. Aull
Publisher : Springer Science & Business Media
ISBN 13 : 9401717567
Total Pages : 405 pages
Book Rating : 4.4/5 (17 download)
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.
Author : Sergio Macías
Publisher : Springer Nature
ISBN 13 : 3030650812
Total Pages : 225 pages
Book Rating : 4.0/5 (36 download)
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.
Author : Sergio Macías
Publisher : Springer
ISBN 13 : 3319909029
Total Pages : 441 pages
Book Rating : 4.3/5 (199 download)
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 441 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.
Author : Zbigniew M. Rakowski
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.F/5 ( download)
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:
Author :
Publisher :
ISBN 13 :
Total Pages : 604 pages
Book Rating : 4.:/5 (36 download)
Download or read book Fundamenta Mathematicae written by and published by . This book was released on 1979 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Polska Akademia Nauk
Publisher :
ISBN 13 :
Total Pages : 902 pages
Book Rating : 4.1/5 (754 download)
Download or read book Bulletin written by Polska Akademia Nauk and published by . This book was released on 1977 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 686 pages
Book Rating : 4.3/5 ( download)
Download or read book Dissertationes Mathematicae written by and published by . This book was released on 1984 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alejandro Illanes
Publisher : CRC Press
ISBN 13 : 9780824719821
Total Pages : 544 pages
Book Rating : 4.7/5 (198 download)
Download or read book Hyperspaces written by Alejandro Illanes and published by CRC Press. This book was released on 1999-01-04 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents hyperspace fundamentals, offering a basic overview and a foundation for further study. Topics include the topology for hyperspaces, examples of geometric models for hyperspaces, 2x and C(X) for Peano continua X, arcs in hyperspaces, the shape and contractability of hyperspaces, hyperspaces and the fixed point property, and Whitney maps. The text contains examples and exercises throughout, and provides proofs for most results.
Author : T. Maćkowiak
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.3/5 (121 download)
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:
Author : W.T. Ingram
Publisher : Springer Science & Business Media
ISBN 13 : 146141797X
Total Pages : 229 pages
Book Rating : 4.4/5 (614 download)
Download or read book Inverse Limits written by W.T. Ingram and published by Springer Science & Business Media. This book was released on 2011-11-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse limits provide a powerful tool for constructing complicated spaces from simple ones. They also turn the study of a dynamical system consisting of a space and a self-map into a study of a (likely more complicated) space and a self-homeomorphism. In four chapters along with an appendix containing background material the authors develop the theory of inverse limits. The book begins with an introduction through inverse limits on [0,1] before moving to a general treatment of the subject. Special topics in continuum theory complete the book. Although it is not a book on dynamics, the influence of dynamics can be seen throughout; for instance, it includes studies of inverse limits with maps from families of maps that are of interest to dynamicists such as the logistic and the tent families. This book will serve as a useful reference to graduate students and researchers in continuum theory and dynamical systems. Researchers working in applied areas who are discovering inverse limits in their work will also benefit from this book.
Author : K. Kuratowski
Publisher : Elsevier
ISBN 13 : 148327179X
Total Pages : 623 pages
Book Rating : 4.4/5 (832 download)
Download or read book Topology written by K. Kuratowski and published by Elsevier. This book was released on 2014-05-12 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology, Volume II deals with topology and covers topics ranging from compact spaces and connected spaces to locally connected spaces, retracts, and neighborhood retracts. Group theory and some cutting problems are also discussed, along with the topology of the plane. Comprised of seven chapters, this volume begins with a discussion on the compactness of a topological space, paying particular attention to Borel, Lebesgue, Riesz, Cantor, and Bolzano-Weierstrass conditions. Semi-continuity and topics in dimension theory are also considered. The reader is then introduced to the connectedness of a space, with emphasis on the general properties and monotone mappings of connected spaces; local connectedness of a topological space; absolute retracts and contractible spaces; and general properties of commutative groups. Qualitative problems related to polygonal arcs are also examined, together with cohomotopic multiplication and duality theorems. The final chapter is devoted to the topology of a plane and evaluates the concept of the Janiszewski space. This monograph will be helpful to students and practitioners of algebra and mathematics.
Author :
Publisher :
ISBN 13 :
Total Pages : 1392 pages
Book Rating : 4.X/5 (2 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 1995 with total page 1392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Crawford Abbott
Publisher : Mathematical Association of America (MAA)
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Chauvenet Papers written by James Crawford Abbott and published by Mathematical Association of America (MAA). This book was released on 1978 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4.:/5 (36 download)
Download or read book Transactions of the American Mathematical Society written by and published by . This book was released on 1975 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.3/5 (91 download)
Download or read book Bulletin of the Polish Academy of Sciences written by and published by . This book was released on 2003 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
