Topology of Metric Spaces

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Alpha Science Int'l Ltd., 2005 - Mathematics - 152 pages
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"Topology of Metric Spaces gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces and geometric ideas to encourage geometric thinking, to treat this as a preparatory ground for a general topology course, to use this course as a surrogate for real analysis and to help the students gain some perspective of modern analysis." "Eminently suitable for self-study, this book may also be used as a supplementary text for courses in general (or point-set) topology so that students will acquire a lot of concrete examples of spaces and maps."--BOOK JACKET.
 

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P126 has a flaw,which is lack of a '<'between two sigma.

Contents

Basic Notions
1
Convergence
35
Continuity
56
Compactness
81
Connectedness
106
Complete Metric Spaces
122
Bibliography
149
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