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Introduction to General Topology

Introduction to General Topology
Author: K. D. Joshi
Publisher: New Age International
Total Pages: 430
Release: 1983
Genre: Topology
ISBN: 9780852264447

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General Topology

General Topology
Author: Tom Richmond
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 397
Release: 2020-07-06
Genre: Mathematics
ISBN: 3110686724

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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.


Introduction to Topology

Introduction to Topology
Author: Tej Bahadur Singh
Publisher: Springer
Total Pages: 452
Release: 2019-05-17
Genre: Mathematics
ISBN: 9811369542

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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.


An Introduction to General Topology

An Introduction to General Topology
Author: Paul E. Long
Publisher: Merrill Publishing Company
Total Pages: 296
Release: 1971
Genre: Mathematics
ISBN:

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Cape Cod

Cape Cod
Author: Henry David Thoreau
Publisher:
Total Pages: 294
Release: 1866
Genre: Cape Cod (Mass.)
ISBN:

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General Topology

General Topology
Author: Stephen Willard
Publisher: Courier Corporation
Total Pages: 386
Release: 2012-07-12
Genre: Mathematics
ISBN: 0486131785

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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.


Introduction to Topology

Introduction to Topology
Author: Theodore W. Gamelin
Publisher: Courier Corporation
Total Pages: 258
Release: 2013-04-22
Genre: Mathematics
ISBN: 0486320189

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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.


General Topology

General Topology
Author: Waclaw Sierpinski
Publisher: Courier Dover Publications
Total Pages: 305
Release: 2020-04-15
Genre: Mathematics
ISBN: 0486842541

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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.


Topology

Topology
Author: Stefan Waldmann
Publisher: Springer
Total Pages: 143
Release: 2014-08-05
Genre: Mathematics
ISBN: 331909680X

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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.


Foundations of General Topology

Foundations of General Topology
Author: William J. Pervin
Publisher: Academic Press
Total Pages: 222
Release: 2014-05-12
Genre: Mathematics
ISBN: 1483225151

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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.