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Topologies and Uniformities
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Feldname
Details
Dewey Class
514
Titel
Topologies and Uniformities ([EBook]) / by Ioan Mackenzie James
Verfasser
James, Ioan Mackenzie , 1928-
Other name(s)
SpringerLink (Online service)
Veröffentl
London : Springer London , 1999
Physical Details
XV, 230 p. 22 illus. : online resource.
Reihe
Springer undergraduate mathematics series
1615-2085
ISBN
9781447139942
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4471-3994-2
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Schlagwörter:
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Algebraic Topology
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Mathematics
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Topology
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Authors:
James, Ioan Mackenzie 1928-
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SpringerLink (Online service)
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Series:
Springer undergraduate mathematics series
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514
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