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Catalogue Information
Field name	Details
Dewey Class	514.2
Title	Topological and Uniform Spaces ([EBook]) / by I. M. James
Author	James, Ioan Mackenzie , 1928-
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer New York , 1987
Physical Details	X, 164 p. : online resource.
Series	Undergraduate texts in mathematics 0172-6056
ISBN	9781461247166
Summary Note	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.:
Contents note	0 Preliminaries -- 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.
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/10.1007/978-1-4612-4716-6
Links to Related Works	Subject References: Algebraic Topology . Mathematics . Authors: James, Ioan Mackenzie 1928- . Corporate Authors: SpringerLink (Online service) . Series: Undergraduate texts in mathematics . Classification: 514.2 .

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Topological and Uniform Spaces

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