Bibliotheca Mathematica: A Series of Monographs on Pure and Applied Mathematics, Volume VII: Modern General Topology focuses on the processes, operations, principles, and approaches employed in pure and applied mathematics, including spaces, cardinal and ordinal numbers, and mappings. The publication first elaborates on set, cardinal and ordinal numbers, basic concepts in topological spaces, and various topological spaces. Discussions focus on metric space, axioms of countability, compact space and paracompact space, normal space and fully normal space, subspace, product space, quotient space, and inverse limit space, convergence, mapping, and open basis and neighborhood basis. The book then ponders on compact spaces and related topics, as well as product of compact spaces, compactification, extensions of the concept of compactness, and compact space and the lattice of continuous functions. The manuscript tackles paracompact spaces and related topics, metrizable spaces and related topics, and topics related to mappings. Topics include metric space, paracompact space, and continuous mapping, theory of inverse limit space, theory of selection, mapping space, imbedding, metrizability, uniform space, countably paracompact space, and modifications of the concept of paracompactness. The book is a valuable source of data for mathematicians and researchers interested in modern general topology.

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Yes, you can access Modern General Topology 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 Matemáticas & Topología. We have over one million books available in our catalogue for you to explore.

Information

Publisher

North Holland

Year

2014

ISBN

9781483278162

Edition

Topic

Matemáticas

Subtopic

Topología

Front Cover
Modern General Topology
Copyright Page
Table of Contents
PREFACE
PREFACE TO THE SECOND EDITION
CHAPTER I. INTRODUCTION
CHAPTER II. BASIC CONCEPTS IN TOPOLOGICAL SPACES
CHAPTER III. VARIOUS TOPOLOGICAL SPACES
CHAPTER IV. COMPACT SPACES AND RELATED TOPICS
CHAPTER V. PARACOMPACT SPACES AND RELATED TOPICS
CHAPTER VI. METRIZABLE SPACES AND RELATED TOPICS
CHAPTER VII. TOPICS RELATED TO MAPPINGS
EPILOGUE
BIBLIOGRAPHY
INDEX