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Author:   Bert Mendelson
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Edition:   3rd Revised edition
Dimensions:   Width: 14.10cm , Height: 1.50cm , Length: 21.30cm
Weight:   0.280kg
ISBN:  

9780486663524

ISBN 10:   0486663523
Pages:   224
Publication Date:   28 March 2003
Audience:   College/higher education ,  Adult education ,  Undergraduate ,  Further / Higher Education
Format:   Paperback
Publisher's Status:   No Longer Our Product
Availability:   Awaiting stock  
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

Table of Contents

"Preface 1 Theory of Sets 1 Introduction 2 Sets and subsets 3 ""Set operations: union, intersection, and complement"" 4 Indexed families of sets 5 Products of sets 6 Functions 7 Relations 8 Composition of functions and diagrams 9 ""Inverse functions, extensions, and restrictions"" 10 Arbitrary products 2 Metric Spaces 1 Introduction 2 Metric spaces 3 Continuity 4 Open balls and neighborhoods 5 Limits 6 Open sets and closed sets 7 Subspaces and equivalence of metric spaces 8 An infinite dimensional Euclidean space 3 Topological Spaces 1 Introduction 2 Topological spaces 3 Neighborhoods and neighborhood spaces 4 ""Closure, interior, boundary"" 5 ""Functions, continuity, homeomorphism"" 6 Subspaces 7 Products 8 Identification topologies 9 Categories and functors 4 Connectedness 1 Introduction 2 Connectedness 3 Connectedness on the real line 4 Some applications of connectedness 5 Components and local connectedness 6 Path-connected topological spaces 7 Homotopic paths and the fundamental group 8 Simple connectedness 5 Compactness 1 Introduction 2 Compact topological spaces 3 Compact subsets of the real line 4 Products of compact spaces 5 Compact metric spaces 6 Compactness and the Bolzano-Weierstrass property 7 Surfaces by identification Bibliography Index"

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