Surveys in General Topology
eBook - PDF

Surveys in General Topology

  1. 572 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Surveys in General Topology

About this book

Surveys in General Topology presents topics relating to general topology ranging from closed mappings and ultrafilters to covering and separation properties of box products. Ordered topological spaces and the use of combinatorial techniques in functional analysis are also considered, along with product spaces and weakly compact subsets of Banach spaces. Applications of stationary sets in topology are presented as well. Comprised of 15 chapters, this volume begins with an analysis of some of the techniques and results in the area of closed mappings, followed by a discussion on the theory of ultrafilters. The reader is then introduced to the question of when a box product of compact spaces is paracompact, and how badly a box product of compact or metrizable spaces can fail to be normal. Subsequent chapters focus on the transfinite dimension; the properties of metacompactness, submetacompactness, and subparacompactness; the dimension of ordered topological spaces; the use of combinatorial techniques for the treatment and solution of fundamental problems in functional analysis, particularly in the isomorphic theory of Banach spaces; and order-theoretic base axioms. This monograph will be of significant value both to researchers in general topology and to mathematicians outside the field who wish an overview of current topics and techniques.

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Yes, you can access Surveys in General Topology by George M. Reed in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780125849609
eBook ISBN
9781483263861
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Surveys in General Topology
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Contributors
  7. Preface
  8. Acknowledgments
  9. Chapter 1. CLOSED MAPPINGS
  10. Chapter 2. ULTRAFILTERS: AN INTERIM REPORT
  11. Chapter 3. COVERING AND SEPARATION PROPERTIES OF BOX PRODUCTS
  12. Chapter 4. TRANSFINITE DIMENSION
  13. Chapter 5. APPLICATIONS OF STATIONARY SETS IN TOPOLOGY
  14. Chapter 6. THREE COVERING PROPERTIES
  15. Chapter 7. ORDERED TOPOLOGICAL SPACES
  16. Chapter 8. DIMENSION OF GENERAL TOPOLOGICAL SPACES
  17. Chapter 9. COMBINATORIAL TECHNIQUES IN FUNCTIONAL ANALYSIS
  18. Chapter 10. ORDER-THEORETIC BASE AXIOMS
  19. Chapter 11. PRODUCT SPACES
  20. Chapter 12. S AND L SPACES
  21. Chapter 13. LARGE CARDINALS FOR TOPOLOGISTS
  22. Chapter 14. WEAKLY COMPACT SUBSETS OF BANACH SPACES
  23. Chapter 15. THE DEVELOPMENT OF GENERALIZED BASE OF COUNTABLE ORDER THEORY