
- 376 pages
- English
- PDF
- Available on iOS & Android
Modern General Topology
About this book
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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Information
Table of contents
- 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