Convergence and Uniformity in Topology. (AM-2), Volume 2 PDF Download
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Author: John W. Tukey
Publisher: Princeton University Press
ISBN: 1400882192
Category : Mathematics
Languages : en
Pages : 90
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Book Description
The description for this book, Convergence and Uniformity in Topology. (AM-2), Volume 2, will be forthcoming.
Author: John W. Tukey
Publisher: Princeton University Press
ISBN: 1400882192
Category : Mathematics
Languages : en
Pages : 90
Get Book Here
Book Description
The description for this book, Convergence and Uniformity in Topology. (AM-2), Volume 2, will be forthcoming.
Author: John Wilder Tukey
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: John Wilder Tukey (Statistician)
Publisher:
ISBN:
Category :
Languages : en
Pages : 90
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Book Description
Author: John Wilder Tukey
Publisher:
ISBN:
Category : Topology
Languages : en
Pages : 90
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Book Description
Author: Y.-C. Wong
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 182
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Book Description
Author: Gerhard Preuß
Publisher: Springer Science & Business Media
ISBN: 9401004897
Category : Mathematics
Languages : en
Pages : 306
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Book Description
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).
Author: Szymon Dolecki
Publisher: World Scientific Publishing Company
ISBN: 9814571547
Category : Mathematics
Languages : en
Pages : 569
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Book Description
This textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets. Convergence of filters is a natural generalization of the basic and well-known concept of convergence of sequences, so that convergence theory is more natural and intuitive to many, perhaps most, students than classical topology. On the other hand, the framework of convergence is easier, more powerful and far-reaching which highlights a need for a theory of convergence in various branches of analysis.Convergence theory for filters is gradually introduced and systematically developed. Topological spaces are presented as a special subclass of convergence spaces of particular interest, but a large part of the material usually developed in a topology textbook is treated in the larger realm of convergence spaces.
Author: Yau-Chuen Wong
Publisher: Springer
ISBN: 9780387078007
Category : Convergence
Languages : en
Pages : 163
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Book Description
Author: Szymon Dolecki
Publisher: World Scientific
ISBN: 9811232121
Category : Mathematics
Languages : en
Pages : 733
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Book Description
Topological spaces are a special case of convergence spaces. This textbook introduces topology within a broader context of convergence theory. The title alludes to advantages of the present approach, which is more gratifying than many traditional ones: you travel more comfortably through mathematical landscapes and you see more.The book is addressed both to those who wish to learn topology and to those who, being already knowledgeable about topology, are curious to review it from a different perspective, which goes well beyond the traditional knowledge.Usual topics of classic courses of set-theoretic topology are treated at an early stage of the book — from a viewpoint of convergence of filters, but in a rather elementary way. Later on, most of these facts reappear as simple consequences of more advanced aspects of convergence theory.The mentioned virtues of the approach stem from the fact that the class of convergences is closed under several natural, essential operations, under which the class of topologies is not! Accordingly, convergence theory complements topology like the field of complex numbers algebraically completes the field of real numbers.Convergence theory is intuitive and operational because of appropriate level of its abstraction, general enough to grasp the underlying laws, but not too much in order not to lose intuitive appeal.
Author: Steven G. Krantz
Publisher: American Mathematical Soc.
ISBN: 0883859173
Category : Mathematics
Languages : en
Pages : 107
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Book Description
A concise introduction to topology to ground students in the basic ideas and techniques of the subject.
