Introduction to General Topology PDF Download

Author: K. D. Joshi
Publisher: New Age International
ISBN: 9780852264447
Category : Topology
Languages : en
Pages : 430

View

Book Description

Author: Tom Richmond
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110686724
Category : Mathematics
Languages : en
Pages : 397

View

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.

Author: Paul E. Long
Publisher: Merrill Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 296

View

Book Description

Author: Bert Mendelson
Publisher: Courier Corporation
ISBN: 0486135098
Category : Mathematics
Languages : en
Pages : 226

View

Book Description
Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.

Author: Waclaw Sierpinski
Publisher: Courier Dover Publications
ISBN: 0486842541
Category : Mathematics
Languages : en
Pages : 305

View

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.

Author: Theodore W. Gamelin
Publisher: Courier Corporation
ISBN: 0486320189
Category : Mathematics
Languages : en
Pages : 258

View

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.

Author: Tej Bahadur Singh
Publisher: Springer
ISBN: 9811369542
Category : Mathematics
Languages : en
Pages : 452

View

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.

Author: William J. Pervin
Publisher: Academic Press
ISBN: 1483225151
Category : Mathematics
Languages : en
Pages : 222

View

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.

Author: John L. Kelley
Publisher: Courier Dover Publications
ISBN: 0486820661
Category : Mathematics
Languages : en
Pages : 320

View

Book Description
Comprehensive text for beginning graduate-level students and professionals. "The clarity of the author's thought and the carefulness of his exposition make reading this book a pleasure." — Bulletin of the American Mathematical Society. 1955 edition.

Author: Charles Terence Clegg Wall
Publisher: Courier Corporation
ISBN: 0486678504
Category : Mathematics
Languages : en
Pages : 195

View

Book Description
First course in algebraic topology for advanced undergraduates. Homotopy theory, the duality theorem, relation of topological ideas to other branches of pure mathematics. Exercises and problems. 1972 edition.