Topics in Topology
| Author | : Ákos Császár |
| Publisher | : |
| Total Pages | : 652 |
| Release | : 1974 |
| Genre | : Mathematics |
| ISBN | : |
A thirteen-year-old with a talent for throwing loops and who lives on a ranch with his father and grandfather yearns for a roping horse.
Topological Topics
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Topological Topics
| Author | : Peter Hilton |
| Publisher | : Cambridge University Press |
| Total Pages | : 196 |
| Release | : 1983-09-08 |
| Genre | : Mathematics |
| ISBN | : 0521275814 |
Professor Peter Hilton is one of the best known mathematicians of his generation. He has published almost 300 books and papers on various aspects of topology and algebra. The present volume is to celebrate the occasion of his sixtieth birthday. It begins with a bibliography of his work, followed by reviews of his contributions to topology and algebra. These are followed by eleven research papers concerned with various topics of current interest in algebra and topology. The articles are contributed by some of the many mathematicians with whom he has worked at one time or another. This book will be of interest to both topologists and algebraists, particularly those concerned with homotopy theory.
Topics in Topological Graph Theory
| Author | : Lowell W. Beineke |
| Publisher | : Cambridge University Press |
| Total Pages | : 387 |
| Release | : 2009-07-09 |
| Genre | : Mathematics |
| ISBN | : 1139643681 |
The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references.
Descriptive Topology in Selected Topics of Functional Analysis
| Author | : Jerzy Kąkol |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 494 |
| Release | : 2011-08-30 |
| Genre | : Mathematics |
| ISBN | : 1461405297 |
"Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, (LF)-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in functional analysis in distribution theory, differential equations, complex analysis, and various other analytical settings. This monograph provides new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis.
Topology
| Author | : Tai-Danae Bradley |
| Publisher | : MIT Press |
| Total Pages | : 167 |
| Release | : 2020-08-18 |
| Genre | : Mathematics |
| ISBN | : 0262359626 |
A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.
Topics in General Topology
| Author | : K. Morita |
| Publisher | : Elsevier |
| Total Pages | : 761 |
| Release | : 1989-08-04 |
| Genre | : Mathematics |
| ISBN | : 0080879888 |
Being an advanced account of certain aspects of general topology, the primary purpose of this volume is to provide the reader with an overview of recent developments.The papers cover basic fields such as metrization and extension of maps, as well as newly-developed fields like categorical topology and topological dynamics. Each chapter may be read independently of the others, with a few exceptions. It is assumed that the reader has some knowledge of set theory, algebra, analysis and basic general topology.
Essentials of Topology with Applications
| Author | : Steven G. Krantz |
| Publisher | : CRC Press |
| Total Pages | : 422 |
| Release | : 2009-07-28 |
| Genre | : Mathematics |
| ISBN | : 1420089757 |
Brings Readers Up to Speed in This Important and Rapidly Growing AreaSupported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological
Experiments in Topology
| Author | : Stephen Barr |
| Publisher | : Courier Corporation |
| Total Pages | : 244 |
| Release | : 2012-12-04 |
| Genre | : Mathematics |
| ISBN | : 048615274X |
Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit.
Topics in Topology
| Author | : Stevo Todorcevic |
| Publisher | : Springer |
| Total Pages | : 161 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540683380 |
The book describes some interactions of topology with other areas of mathematics and it requires only basic background. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class-1 functions. In the second chapter some topological dynamics of beta-N and its applications to combinatorial number theory are presented. The third chapter gives a proof of the Ivanovskii-Kuzminov-Vilenkin theorem that compact groups are dyadic. The last chapter presents Marjanovic's classification of hyperspaces of compact metric zerodimensional spaces.
Topological Complexity and Related Topics
| Author | : Mark Grant |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 186 |
| Release | : 2018-02-14 |
| Genre | : Mathematics |
| ISBN | : 1470434369 |
This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28–March 5, 2016, at the Mathematisches Forschungsinstitut Oberwolfach. Topological complexity is a numerical homotopy invariant, defined by Farber in the early twenty-first century as part of a topological approach to the motion planning problem in robotics. It continues to be the subject of intensive research by homotopy theorists, partly due to its potential applicability, and partly due to its close relationship to more classical invariants, such as the Lusternik–Schnirelmann category and the Schwarz genus. This volume contains survey articles and original research papers on topological complexity and its many generalizations and variants, to give a snapshot of contemporary research on this exciting topic at the interface of pure mathematics and engineering.
