Author: Allan Chester Cochran
Publisher:
ISBN:
Category : Convergence
Languages : en
Pages : 124

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Author: Harald Nusser
Publisher: Herbert Utz Verlag
ISBN: 9783896754127
Category :
Languages : en
Pages : 114

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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: Rosalyn Hsiao-mei Shen Lee
Publisher:
ISBN:
Category :
Languages : en
Pages : 48

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Author: Gordon Thomas Whyburn
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 26

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Author: Mikael Lindström
Publisher:
ISBN: 9789516487611
Category : Convergence
Languages : en
Pages : 3

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Author: Errol Churchill Caby
Publisher:
ISBN:
Category :
Languages : en
Pages : 122

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Author: Vialar Thierry
Publisher: BoD - Books on Demand
ISBN: 2955199052
Category : Mathematics
Languages : en
Pages : 1134

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Book Description
The book, revised, consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII. Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. Extensive cross-references allow readers to find related terms, concepts and items (by page number, heading, and objet such as theorem, definition, example, etc.). The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.

Author: I. M. James
Publisher: Cambridge University Press
ISBN: 9780521386203
Category : Mathematics
Languages : en
Pages : 160

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Book Description
This book is based on a course taught to an audience of undergraduate and graduate students at Oxford, and can be viewed as a bridge between the study of metric spaces and general topological spaces. About half the book is devoted to relatively little-known results, much of which is published here for the first time. The author sketches a theory of uniform transformation groups, leading to the theory of uniform spaces over a base and hence to the theory of uniform covering spaces. Readers interested in general topology will find much to interest them here.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 192

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