Introduction to General Topology
Author : K. D. Joshi
Publisher : New Age International
Page : 430 pages
File Size : 41,61 MB
Release : 1983
Category : Topology
ISBN : 9780852264447
General Topology
Author : Tom Richmond
Publisher : Walter de Gruyter GmbH & Co KG
Page : 397 pages
File Size : 50,43 MB
Release : 2020-07-06
Category : Mathematics
ISBN : 3110686724
Book Description
The first half of the book provides an introduction to general topology, with ample space given to exercises and carefully selected applications. The second half of the text includes topics in asymmetric topology, a field motivated by applications in computer science. Recurring themes include the interactions of topology with order theory and mathematics designed to model loss-of-resolution situations.
Cape Cod
Author : Henry David Thoreau
Publisher :
Page : 270 pages
File Size : 23,71 MB
Release : 1892
Category : Cape Cod (Mass.)
ISBN :
Book Description
Introduction to Topology
Author : Tej Bahadur Singh
Publisher : Springer
Page : 458 pages
File Size : 45,57 MB
Release : 2019-05-17
Category : Mathematics
ISBN : 9811369542
Book Description
Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics. This book presents the basic concepts of topology, including virtually all of the traditional topics in point-set topology, as well as elementary topics in algebraic topology such as fundamental groups and covering spaces. It also discusses topological groups and transformation groups. When combined with a working knowledge of analysis and algebra, this book offers a valuable resource for advanced undergraduate and beginning graduate students of mathematics specializing in algebraic topology and harmonic analysis.
General Topology
Author : Waclaw Sierpinski
Publisher : Courier Dover Publications
Page : 305 pages
File Size : 24,25 MB
Release : 2020-04-15
Category : Mathematics
ISBN : 0486842541
Book Description
Critically acclaimed text by distinguished mathematician presents detailed theory of Fréchet (V) spaces and comprehensive examination of their relevance to topological spaces, plus in-depth discussions of metric and complete spaces. 1956 edition.
An Introduction to General Topology
Author : Paul E. Long
Publisher : Merrill Publishing Company
Page : 296 pages
File Size : 50,73 MB
Release : 1971
Category : Mathematics
ISBN :
Book Description
Introduction to Topology
Author : Theodore W. Gamelin
Publisher : Courier Corporation
Page : 258 pages
File Size : 29,99 MB
Release : 2013-04-22
Category : Mathematics
ISBN : 0486320189
Book Description
This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983 edition.
Foundations of General Topology
Author : William J. Pervin
Publisher : Academic Press
Page : 222 pages
File Size : 35,54 MB
Release : 2014-05-12
Category : Mathematics
ISBN : 1483225151
Book Description
Foundations of General Topology presents the value of careful presentations of proofs and shows the power of abstraction. This book provides a careful treatment of general topology. Organized into 11 chapters, this book begins with an overview of the important notions about cardinal and ordinal numbers. This text then presents the fundamentals of general topology in logical order processing from the most general case of a topological space to the restrictive case of a complete metric space. Other chapters consider a general method for completing a metric space that is applicable to the rationals and present the sufficient conditions for metrizability. This book discusses as well the study of spaces of real-valued continuous functions. The final chapter deals with uniform continuity of functions, which involves finding a distance that satisfies certain requirements for all points of the space simultaneously. This book is a valuable resource for students and research workers.
General Topology
Author : Stephen Willard
Publisher : Courier Corporation
Page : 386 pages
File Size : 22,52 MB
Release : 2012-07-12
Category : Mathematics
ISBN : 0486131785
Book Description
Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures.
Topology
Author : Stefan Waldmann
Publisher : Springer
Page : 143 pages
File Size : 37,79 MB
Release : 2014-08-05
Category : Mathematics
ISBN : 331909680X
Book Description
This book provides a concise introduction to topology and is necessary for courses in differential geometry, functional analysis, algebraic topology, etc. Topology is a fundamental tool in most branches of pure mathematics and is also omnipresent in more applied parts of mathematics. Therefore students will need fundamental topological notions already at an early stage in their bachelor programs. While there are already many excellent monographs on general topology, most of them are too large for a first bachelor course. Topology fills this gap and can be either used for self-study or as the basis of a topology course.
