Topics In General Topology
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Topics In General Topology
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Author : K. Morita
language : en
Publisher: Elsevier
Release Date : 1989-08-04
Topics In General Topology written by K. Morita and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-08-04 with Mathematics categories.
Being an advanced account of certain aspects of general topology, the primary purpose of this volume is to provide the reader with an overview of recent developments.The papers cover basic fields such as metrization and extension of maps, as well as newly-developed fields like categorical topology and topological dynamics. Each chapter may be read independently of the others, with a few exceptions. It is assumed that the reader has some knowledge of set theory, algebra, analysis and basic general topology.
Topics In General Topology
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Author : Kiiti Morita
language : en
Publisher: Elsevier
Release Date : 1989
Topics In General Topology written by Kiiti Morita and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
Being an advanced account of certain aspects of general topology, the primary purpose of this volume is to provide the reader with an overview of recent developments. The papers cover basic fields such as metrization and extension of maps, as well as newly-developed fields like categorical topology and topological dynamics. Each chapter may be read independently of the others, with a few exceptions. It is assumed that the reader has some knowledge of set theory, algebra, analysis and basic general topology.
Some Topics In General Topology
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Author : D. Baboolal
language : en
Publisher:
Release Date : 1980
Some Topics In General Topology written by D. Baboolal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Point Set Topology With Topics Basic General Topology For Graduate Studies
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Author : Robert Andre
language : en
Publisher: World Scientific
Release Date : 2024-01-19
Point Set Topology With Topics Basic General Topology For Graduate Studies written by Robert Andre and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-19 with Mathematics categories.
This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this book present topological concepts that apply directly to functional analysis, which will be of interest to scholars working in those fields.In Part I, readers are eased into the main subject matter of general topology, being presented with summaries of normed vector spaces and metric spaces. Parts II to VI form the core material contained in most Basic General Topology courses. After having worked through the most fundamental concepts of topology, the reader will be exposed to brief introductions to more specialized or advanced topics of pointset topology. These are presented in Part VII in the form of a sequence of chapters, many of which can be read or studied independently or in short sequences of two or three chapters, provided that the student has mastered the previous sections.Chapters related to the more basic ideas of general topology are followed by a collection of 'concept review' questions, the answers to which are found in the main body of the text. These questions highlight the main concepts presented in that chapter, as well as ideas that are often overlooked when first encountered, which will help to test the students' understanding. The efforts required in answering correctly such questions will provide the student with the ability to solve more complex problems in the exercises collected at the end of each section.
Modern General Topology
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Author : J.-I. Nagata
language : en
Publisher: Elsevier
Release Date : 1985-11-01
Modern General Topology written by J.-I. Nagata and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-11-01 with Mathematics categories.
This classic work has been fundamentally revised to take account of recent developments in general topology. The first three chapters remain unchanged except for numerous minor corrections and additional exercises, but chapters IV-VII and the new chapter VIII cover the rapid changes that have occurred since 1968 when the first edition appeared. The reader will find many new topics in chapters IV-VIII, e.g. theory of Wallmann-Shanin's compactification, realcompact space, various generalizations of paracompactness, generalized metric spaces, Dugundji type extension theory, linearly ordered topological space, theory of cardinal functions, dyadic space, etc., that were, in the author's opinion, mostly special or isolated topics some twenty years ago but now settle down into the mainstream of general topology.
Some Topics In General Topology
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Author : Peter J. Collins
language : en
Publisher:
Release Date : 1968
Some Topics In General Topology written by Peter J. Collins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.
Modern General Topology
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Author : Jun-Iti Nagata
language : en
Publisher: Elsevier
Release Date : 2014-05-12
Modern General Topology written by Jun-Iti Nagata and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
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.
Some Topics In General Topology
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Author : Baboolal D. (D.Phil.)
language : en
Publisher:
Release Date : 1980
Some Topics In General Topology written by Baboolal D. (D.Phil.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Topology categories.
On Some Topics In General Topology
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Author : Diane Dehart
language : en
Publisher:
Release Date : 1969
On Some Topics In General Topology written by Diane Dehart and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Topology categories.
Point Set Topology With Topics Basic General Topology For Graduate Studies
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Author : Robert Andre
language : en
Publisher: World Scientific Publishing Company
Release Date : 2023-11
Point Set Topology With Topics Basic General Topology For Graduate Studies written by Robert Andre and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11 with Mathematics categories.
Point-Set Topology with Topics: Basic General Topology for Graduate Studies can be used as an introduction to a general topology course for both undergraduate and graduate level courses. Presenting topological concepts which apply directly to functional analysis, this book will also be of interest to scholars working in those fields.Part I contains a summary of normed vector spaces and metric spaces, which will ease the reader into the main subject matter of general topology. Parts II to VI form the core of the text, presenting in diverse ways and at a range of levels the material usually covered in basic general topology courses. After having worked through the most fundamental concepts of topology, the reader will be exposed, in part VII, to more specialized or advanced topics of point-set topology. These appear in the form of a sequence of chapters, many of which can be studied independently.Each chapter is followed by a collection of 'concept review' questions whose answers can usually be found in the main body of the text. These questions highlight the main concepts presented in that chapter. They serve to attract the attention of the reader to ideas that are often overlooked when first encountered. The efforts required in answering such questions correctly will provide the student with the ability to solve the more complex problems collected at the end of each section.