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Modern Dimension Theory

Download or Read eBook Modern Dimension Theory PDF written by Jun-Iti Nagata and published by Elsevier. This book was released on 2014-05-12 with total page 268 pages. Available in PDF, EPUB and Kindle.
Modern Dimension Theory
Author :
Publisher : Elsevier
Total Pages : 268
Release :
ISBN-10 : 9781483275024
ISBN-13 : 1483275027
Rating : 4/5 (24 Downloads)

Book Synopsis Modern Dimension Theory by : Jun-Iti Nagata

Book excerpt: 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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