Foundations of General Topology - Softcover

Pervin, William J.

Softcover

ISBN 10: 148321172X ISBN 13: 9781483211725

Publisher: Academic Press, 2014

Synopsis

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.

About this edition

• Publisher: Academic Press
• Publication date: 2014
• ISBN 10: 148321172X
• ISBN 13: 9781483211725
• Binding: Paperback
• Number of pages: 222
• Editor: Boas Ralph P.