Modern Dimension Theory
eBook - PDF

Modern Dimension Theory

  1. 268 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

About this book

Bibliotheca Mathematica, Volume 6: Modern Dimension Theory provides a brief account of dimension theory as it has been developed since 1941, including the principal results of the classical theory for separable metric spaces. This book discusses the decomposition theorem, Baire's zero-dimensional spaces, dimension of separable metric spaces, and characterization of dimension by a sequence of coverings. The imbedding of countable-dimensional spaces, sum theorem for strong inductive dimension, and cohomology group of a topological space are also elaborated. This text likewise covers the uniformly zero-dimensional mappings, theorems in euclidean space, transfinite inductive dimension, and dimension of non-metrizable spaces. This volume is recommended to students and specialists researching on dimension theory.

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Yes, you can access Modern Dimension Theory by Jun-Iti Nagata, N. G. De Bruijn,J. De Groot,A. C. Zaanen in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
North Holland
Year
2014
Print ISBN
9781483229614
eBook ISBN
9781483275024

Table of contents

  1. Front Cover
  2. Modern Dimension Theory
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. CHAPTER I. INTRODUCTION
  7. CHAPTER II. DIMENSION OF METRIC SPACES
  8. CHAPTER III. MAPPINGS AND DIMENSION
  9. CHAPTER IV. DIMENSION OF SEPARABLE METRIC SPACES
  10. CHAPTER V. DIMENSION AND METRIZATION
  11. CHAPTER VI. INFINITE-DIMENSIONAL SPACES
  12. CHAPTER VII. DIMENSION OF NON-METRIZABLE SPACES
  13. CHAPTER VIII. DIMENSION AND COHOMOLOGY
  14. BIBLIOGRAPHY
  15. Index