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| Author | : Walter Roelcke |
| Publisher | : McGraw-Hill Companies |
| Total Pages | : 296 |
| Release | : 1981 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Warren Page |
| Publisher | : Courier Dover Publications |
| Total Pages | : 398 |
| Release | : 1988 |
| Genre | : Mathematics |
| ISBN | : 9780486658087 |
Exceptionally smooth, clear, detailed examination of uniform spaces, topological groups, topological vector spaces, topological algebras and abstract harmonic analysis. Also, topological vector-valued measure spaces as well as numerous problems and examples. For advanced undergraduates and beginning graduate students. Bibliography. Index.
| Author | : I. M. James |
| Publisher | : Cambridge University Press |
| Total Pages | : 160 |
| Release | : 1990-05-03 |
| Genre | : Mathematics |
| ISBN | : 9780521386203 |
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 | : Warren Page |
| Publisher | : John Wiley & Sons |
| Total Pages | : 424 |
| Release | : 1978 |
| Genre | : Mathematics |
| ISBN | : |
Exceptionally smooth, clear, detailed examination of uniform spaces, topological groups, topological vector spaces, topological algebras and abstract harmonic analysis. Includes numerous problems and examples. For advanced undergraduates and beginning graduate students. Bibliography. Index.
| Author | : Gerhard Preuß |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 306 |
| Release | : 2011-06-27 |
| Genre | : Mathematics |
| ISBN | : 9401004897 |
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 | : I.M. James |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 173 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461247160 |
This book is based on lectures I have given to undergraduate and graduate audiences at Oxford and elsewhere over the years. My aim has been to provide an outline of both the topological theory and the uniform theory, with an emphasis on the relation between the two. Although I hope that the prospec tive specialist may find it useful as an introduction it is the non-specialist I have had more in mind in selecting the contents. Thus I have tended to avoid the ingenious examples and counterexamples which often occupy much ofthe space in books on general topology, and I have tried to keep the number of definitions down to the essential minimum. There are no particular pre requisites but I have worked on the assumption that a potential reader will already have had some experience of working with sets and functions and will also be familiar with the basic concepts of algebra and analysis. There are a number of fine books on general topology, some of which I have listed in the Select Bibliography at the end of this volume. Of course I have benefited greatly from this previous work in writing my own account. Undoubtedly the strongest influence is that of Bourbaki's Topologie Generale [2], the definitive treatment of the subject which first appeared over a genera tion ago.
| Author | : Douglas Harris |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 104 |
| Release | : 1971 |
| Genre | : Proximity spaces |
| ISBN | : 0821818155 |
| Author | : Dipak Kumar Mitra |
| Publisher | : LAP Lambert Academic Publishing |
| Total Pages | : 120 |
| Release | : 2013 |
| Genre | : |
| ISBN | : 9783659413674 |
In this manuscript, we take up the problem of several generalization of uniform spaces in the categories of fuzzy topological spaces. This includes the development of the notions of semi-uniformity, semi-quasi-uniformity and the study of localization of uniform and quasi-uniform structures in the same setting. Further, various important topological notions such as compactness, totally boundedness and convergence structures have been taken up. The pseudo-metrization problem has also been taken up in the context of these generalized forms of uniform structures.
| Author | : Charlotte Ann Zimmerman |
| Publisher | : |
| Total Pages | : 72 |
| Release | : 1966 |
| Genre | : Topoly |
| ISBN | : |
| Author | : M. G. Murdeshwar |
| Publisher | : |
| Total Pages | : 92 |
| Release | : 1966 |
| Genre | : Quasi-uniform spaces |
| ISBN | : |
