Foundations of General Topology
eBook - PDF

Foundations of General Topology

  1. 222 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Foundations of General Topology

Book details
Table of contents
Citations

About This Book

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.

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Yes, you can access Foundations of General Topology by William J. Pervin, Ralph P. Boas in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
ISBN
9781483225159
Topic
Mathematics
Subtopic
Topology
Index
Mathematics

Table of contents

  1. Front Cover
  2. Foundations of General Topology
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Preface
  7. Chapter 1. Algebra of Sets
  8. Chapter 2. Cardinal and Ordinal Numbers
  9. Chapter 3. Topological Spaces
  10. Chapter 4. Connectedness, Compactness, and Continuity
  11. Chapter 5. Separation and Countability Axioms
  12. Chapter 6. Metric Spaces
  13. Chapter 7. Complete Metric Spaces
  14. Chapter 8. Product Spaces
  15. Chapter 9. Function and Quotient Spaces
  16. Chapter 10. Metrization and Paracompactness
  17. Chapter 11. Uniform Spaces
  18. Bibliography
  19. Index