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Fundamentals Of Topology


Fundamentals Of Topology
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Fundamentals Of Topology


Fundamentals Of Topology
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Author : Benjamin T. Sims
language : en
Publisher:
Release Date : 1976

Fundamentals Of Topology written by Benjamin T. Sims and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Topology categories.




Foundations Of Topology


Foundations Of Topology
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Author : Gerhard Preuß
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-27

Foundations Of Topology written by Gerhard Preuß 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 2011-06-27 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).



Topology Essentials


Topology Essentials
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Author : Emil G. Milewski
language : en
Publisher: Research & Education Assoc.
Release Date : 2013-01-01

Topology Essentials written by Emil G. Milewski and has been published by Research & Education Assoc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Mathematics categories.


REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Topology includes an overview of elementary set theory, relations and functions, ordinals and cardinals, topological spaces, continuous functions, metric spaces and normed spaces, countable spaces, and separation axioms.



Fundamentals Of General Topology


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 General Topology


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 Topology


Fundamentals Of Topology
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Author : Benjamin T. Sims
language : en
Publisher:
Release Date : 1976

Fundamentals Of Topology written by Benjamin T. Sims and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.




Fundamentals Of Algebraic Topology


Fundamentals Of Algebraic Topology
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Author : Steven H. Weintraub
language : en
Publisher: Springer
Release Date : 2014-10-31

Fundamentals Of Algebraic Topology written by Steven H. Weintraub and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-31 with Mathematics categories.


This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are illuminated. Assuming a background in point-set topology, Fundamentals of Algebraic Topology covers the canon of a first-year graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated bibliography.



Essentials Of Topology With Applications


Essentials Of Topology With Applications
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Author : Steven G. Krantz
language : en
Publisher: CRC Press
Release Date : 2009-07-28

Essentials Of Topology With Applications written by Steven G. Krantz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-28 with Mathematics categories.


Brings Readers Up to Speed in This Important and Rapidly Growing AreaSupported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological



Fundamentals Of General Topology


Fundamentals Of General Topology
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Author : A. Arkhangelsky
language : en
Publisher:
Release Date : 1979

Fundamentals Of General Topology written by A. Arkhangelsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.




Fundamentals Of General Topology


Fundamentals Of General Topology
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Author : Aleksandr Vladimirovič Arhangel'skij
language : en
Publisher:
Release Date : 1984

Fundamentals Of General Topology written by Aleksandr Vladimirovič Arhangel'skij and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.