Modern General Topology
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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.
Modern General Topology
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Author : Jun-iti Nagata
language : en
Publisher: North-Holland
Release Date : 1974
Modern General Topology written by Jun-iti Nagata and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 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.
General Topology And Its Relations To Modern Analysis And Algebra 2
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Author : Z. Frolík
language : en
Publisher: Academic Press
Release Date : 2014-05-12
General Topology And Its Relations To Modern Analysis And Algebra 2 written by Z. Frolík and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
General Topology and Its Relations to Modern Analysis and Algebra II is comprised of papers presented at the Second Symposium on General Topology and its Relations to Modern Analysis and Algebra, held in Prague in September 1966. The book contains expositions and lectures that discuss various subject matters in the field of General Topology. The topics considered include the algebraic structure for a topology; the projection spectrum and its limit space; some special methods of homeomorphism theory in infinite-dimensional topology; types of ultrafilters on countable sets; the compactness operator in general topology; and the algebraic generalization of the topological theorems of Bolzano and Weierstrass. This publication will be found useful by all specialists in the field of Topology and mathematicians interested in General Topology.
Modern General Topology By Jun Iti Nagata
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Author : Jun'ichi Nagata
language : en
Publisher:
Release Date : 1968
Modern General Topology By Jun Iti Nagata written by Jun'ichi Nagata 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.
General Topology And Its Relations To Modern Analysis And Algebra Proceedings
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Author : Symposium on General Topology and its Relations to Modern Analysis and Algebra, Prague, 1961
language : en
Publisher:
Release Date :
General Topology And Its Relations To Modern Analysis And Algebra Proceedings written by Symposium on General Topology and its Relations to Modern Analysis and Algebra, Prague, 1961 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Topology categories.
Basic Topology 1
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Author : Avishek Adhikari
language : en
Publisher: Springer Nature
Release Date : 2022-07-04
Basic Topology 1 written by Avishek Adhikari and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-04 with Mathematics categories.
This first of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It studies metric spaces and general topology. It starts with the concept of the metric which is an abstraction of distance in the Euclidean space. The special structure of a metric space induces a topology that leads to many applications of topology in modern analysis and modern algebra, as shown in this volume. This volume also studies topological properties such as compactness and connectedness. Considering the importance of compactness in mathematics, this study covers the Stone–Cech compactification and Alexandroff one-point compactification. This volume also includes the Urysohn lemma, Urysohn metrization theorem, Tietz extension theorem, and Gelfand–Kolmogoroff theorem. The content of this volume is spread into eight chapters of which the last chapter conveys the history of metric spaces and the history of the emergence of the concepts leading to the development of topology as a subject with their motivations with an emphasis on general topology. It includes more material than is comfortably covered by beginner students in a one-semester course. Students of advanced courses will also find the book useful. This book will promote the scope, power, and active learning of the subject, all the while covering a wide range of theories and applications in a balanced unified way.
General Topology And Its Relations To Modern Analysis And Algebra
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Author : Symposium On General Topology And Its Relations To Modern Analysis And Algebra. 1968. Kanpur, Inde..
language : en
Publisher:
Release Date : 1971
General Topology And Its Relations To Modern Analysis And Algebra written by Symposium On General Topology And Its Relations To Modern Analysis And Algebra. 1968. Kanpur, Inde.. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
General Topology And Its Relations To Modern Analysis And Algebra
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Author :
language : fr
Publisher:
Release Date : 1962
General Topology And Its Relations To Modern Analysis And Algebra written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with categories.
General Topology And Modern Analysis
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Author : Louis F. McAuley
language : en
Publisher:
Release Date : 1981
General Topology And Modern Analysis written by Louis F. McAuley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
General Topology
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Author : John L. Kelley
language : en
Publisher: Courier Dover Publications
Release Date : 2017-03-17
General Topology written by John L. Kelley and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-17 with Mathematics categories.
"The clarity of the author's thought and the carefulness of his exposition make reading this book a pleasure," noted the Bulletin of the American Mathematical Society upon the 1955 publication of John L. Kelley's General Topology. This comprehensive treatment for beginning graduate-level students immediately found a significant audience, and it remains a highly worthwhile and relevant book for students of topology and for professionals in many areas. A systematic exposition of the part of general topology that has proven useful in several branches of mathematics, this volume is especially intended as background for modern analysis. An extensive preliminary chapter presents mathematical foundations for the main text. Subsequent chapters explore topological spaces, the Moore-Smith convergence, product and quotient spaces, embedding and metrization, and compact, uniform, and function spaces. Each chapter concludes with an abundance of problems, which form integral parts of the discussion as well as reinforcements and counter examples that mark the boundaries of possible theorems. The book concludes with an extensive index that provides supplementary material on elementary set theory.