Foundations Of General Topology
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Foundations Of General Topology
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Author : William J. Pervin
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Foundations Of General Topology written by William J. Pervin 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.
Foundations of General Topology presents the value of careful presentations of proofs and shows the power of abstraction. This book provides a careful treatment of general topology. Organized into 11 chapters, this book begins with an overview of the important notions about cardinal and ordinal numbers. This text then presents the fundamentals of general topology in logical order processing from the most general case of a topological space to the restrictive case of a complete metric space. Other chapters consider a general method for completing a metric space that is applicable to the rationals and present the sufficient conditions for metrizability. This book discusses as well the study of spaces of real-valued continuous functions. The final chapter deals with uniform continuity of functions, which involves finding a distance that satisfies certain requirements for all points of the space simultaneously. This book is a valuable resource for students and research workers.
Fundamentals Of General Topology
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Author : A.V. Arkhangel'skii
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-30
Fundamentals Of General Topology written by A.V. Arkhangel'skii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-30 with Mathematics categories.
Foundations Of Topology
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Author : C. Wayne Patty
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2009
Foundations Of Topology written by C. Wayne Patty and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Computers categories.
Topology is a branch of pure mathematics that deals with the abstract relationships found in geometry and analysis. Written with the mature student in mind, Foundations of Topology, Second Edition, provides a user-friendly, clear, and concise introduction to this fascinating area of mathematics. The author introduces topics that are well motivated with thorough proofs that make them easy to follow. Historical comments are dispersed throughout the text, and exercises, varying in degree of difficulty, are found at the end of each chapter. Foundations of Topology is an excellent text for teaching students how to develop the skill to write clear and precise proofs.
Foundations Of Topology
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Author : Gerhard Preuß
language : en
Publisher: Springer
Release Date : 2002-10-31
Foundations Of Topology written by Gerhard Preuß and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-10-31 with Mathematics categories.
A new foundation of Topology, summarized under the name Convenient Topology, is considered such that several deficiencies of topological and uniform spaces are remedied. This does not mean that these spaces are superfluous. It means exactly that a better framework for handling problems of a topological nature is used. In this setting semiuniform convergence spaces play an essential role. They include not only convergence structures such as topological structures and limit space structures, but also uniform convergence structures such as uniform structures and uniform limit space structures, and they are suitable for studying continuity, Cauchy continuity and uniform continuity as well as convergence structures in function spaces, e.g. simple convergence, continuous convergence and uniform convergence. Various interesting results are presented which cannot be obtained by using topological or uniform spaces in the usual context. The text is self-contained with the exception of the last chapter, where the intuitive concept of nearness is incorporated in Convenient Topology (there exist already excellent expositions on nearness spaces).
Foundations Of General Topology
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Author : William J. Pervin
language : en
Publisher:
Release Date : 1965
Foundations Of General Topology written by William J. Pervin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Topology categories.
Foundations Of General Topology
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Author : William J. Pervin
language : en
Publisher:
Release Date : 1970
Foundations Of General Topology written by William J. Pervin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Categorical Foundations
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Author : Maria Cristina Pedicchio
language : en
Publisher: Cambridge University Press
Release Date : 2004
Categorical Foundations written by Maria Cristina Pedicchio and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
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Elementary Topology
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Author : O. I͡A. Viro
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Elementary Topology written by O. I͡A. Viro and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
"This textbook on elementary topologycontains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elernentary segment centered at the notions of fundamental group and covering space. The reader who has mastered the core material acquires a strong background in elementary topology and will feel at home in the environment of abstract mathemeatics."--BOOK JACKET.
New Foundations For Physical Geometry
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Author : Tim Maudlin
language : en
Publisher:
Release Date : 2014-02
New Foundations For Physical Geometry written by Tim Maudlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02 with Mathematics categories.
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
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.