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

ISBN

9781483275024

Topic

Mathematics

Subtopic

Geometry

Index

Mathematics

Front Cover
Modern Dimension Theory
Copyright Page
Table of Contents
PREFACE
CHAPTER I. INTRODUCTION
CHAPTER II. DIMENSION OF METRIC SPACES
CHAPTER III. MAPPINGS AND DIMENSION
CHAPTER IV. DIMENSION OF SEPARABLE METRIC SPACES
CHAPTER V. DIMENSION AND METRIZATION
CHAPTER VI. INFINITE-DIMENSIONAL SPACES
CHAPTER VII. DIMENSION OF NON-METRIZABLE SPACES
CHAPTER VIII. DIMENSION AND COHOMOLOGY
BIBLIOGRAPHY
Index