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＜電子ブック＞
Topologies and Uniformities / by Ioan M. James
(Springer Undergraduate Mathematics Series. ISSN:21974144)

版	1st ed. 1999.
出版者	London : Springer London : Imprint: Springer
出版年	1999
本文言語	英語
大きさ	XV, 230 p. 22 illus : online resource
冊子体	Topologies and uniformities / Ioan James ; :pbk.
著者標目	*James, Ioan M author SpringerLink (Online service)
件　名	LCSH:Topology LCSH:Algebraic topology FREE:Topology FREE:Algebraic Topology
一般注記	1 Topological Spaces -- 2 Continuity -- 3 The Induced Topology and Its Dual -- 4 Open Functions and Closed Functions -- 5 Compact Spaces -- 6 Separation Conditions -- 7 Uniform Spaces -- 8 The Uniform Topology -- 9 Connectedness -- 10 Countability and Related Topics -- 11 Functional Separation Conditions -- 12 Completeness and Completion -- Select Bibliography -- Solutions to Exercises This book is based on lectures I have given to senior 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 prospective 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 of the 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 prerequisites 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. An earlier version of the present book appeared in 1987 under the title Topo­ logical and Uniform Spaces. When the time came for a new edition I came to the conclusion that, rather than just making the necessary corrections, it would be better to make more substantial alterations. Parts of the text have been rewritten and new material, including new diagrams, added Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4471-3994-2

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