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Author : Edward Sandusky Thomas
Publisher : Unknown
Page : 86 pages
File Size : 51,8 Mb
Release : 1966
Category : Irreducible polynomials
ISBN : STANFORD:36105033265161
Author : C.E. Aull,R. Lowen
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 44,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401717564
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
Page : 225 pages
File Size : 49,7 Mb
Release : 2021-04-20
Category : Mathematics
ISBN : 9783030650810
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
Page : 441 pages
File Size : 49,9 Mb
Release : 2018-07-24
Category : Mathematics
ISBN : 9783319909028
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 : Unknown
Page : 40 pages
File Size : 51,8 Mb
Release : 1980
Category : Decomposition (Mathematics)
ISBN : STANFORD:36105031587293
Author : Anonim
Publisher : Unknown
Page : 604 pages
File Size : 50,9 Mb
Release : 1979
Category : Electronic journals
ISBN : UCAL:B3647777
Author : W.T. Ingram,William S. Mahavier
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 42,8 Mb
Release : 2011-11-06
Category : Mathematics
ISBN : 9781461417972
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 : Polska Akademia Nauk
Publisher : Unknown
Page : 902 pages
File Size : 48,7 Mb
Release : 1977
Category : Science
ISBN : CHI:17544924
Author : Anonim
Publisher : Unknown
Page : 686 pages
File Size : 54,7 Mb
Release : 1984
Category : Mathematics
ISBN : IND:30000091580575
Author : Alejandro Illanes,Sam Nadler
Publisher : CRC Press
Page : 544 pages
File Size : 55,9 Mb
Release : 1999-01-04
Category : Mathematics
ISBN : 0824719824
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 : Unknown
Page : 72 pages
File Size : 49,6 Mb
Release : 1984
Category : Continuum (Mathematics)
ISBN : UCR:31210012615942
Author : K. Kuratowski
Publisher : Elsevier
Page : 622 pages
File Size : 45,7 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483271798
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 : Anonim
Publisher : Unknown
Page : 700 pages
File Size : 44,8 Mb
Release : 1995
Category : Mathematics
ISBN : UOM:39015038872753
Author : Anonim
Publisher : Unknown
Page : 356 pages
File Size : 42,9 Mb
Release : 1970
Category : Aeronautics
ISBN : UIUC:30112106766634
Author : James Crawford Abbott
Publisher : Mathematical Association of America (MAA)
Page : 348 pages
File Size : 42,9 Mb
Release : 1978
Category : Mathematics
ISBN : UOM:39015015709325