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A Guide to Topology
 
A Guide to Topology
MAA Press: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-88385-346-7
Product Code:  DOL/40
List Price: $65.00
MAA Member Price: $48.75
AMS Member Price: $48.75
eBook ISBN:  978-0-88385-917-9
Product Code:  DOL/40.E
List Price: $60.00
MAA Member Price: $45.00
AMS Member Price: $45.00
Hardcover ISBN:  978-0-88385-346-7
eBook: ISBN:  978-0-88385-917-9
Product Code:  DOL/40.B
List Price: $125.00 $95.00
MAA Member Price: $93.75 $71.25
AMS Member Price: $93.75 $71.25
A Guide to Topology
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A Guide to Topology
MAA Press: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-88385-346-7
Product Code:  DOL/40
List Price: $65.00
MAA Member Price: $48.75
AMS Member Price: $48.75
eBook ISBN:  978-0-88385-917-9
Product Code:  DOL/40.E
List Price: $60.00
MAA Member Price: $45.00
AMS Member Price: $45.00
Hardcover ISBN:  978-0-88385-346-7
eBook ISBN:  978-0-88385-917-9
Product Code:  DOL/40.B
List Price: $125.00 $95.00
MAA Member Price: $93.75 $71.25
AMS Member Price: $93.75 $71.25
  • Book Details
     
     
    Dolciani Mathematical Expositions
    Volume: 402009; 107 pp

    A Guide to Topology is an introduction to basic topology. It covers point-set topology as well as Moore-Smith convergence and function spaces. It treats continuity, compactness, the separation axioms, connectedness, completeness, the relative topology, the quotient topology, the product topology, and all the other fundamental ideas of the subject. The book is filled with examples and illustrations. Graduate students studying for the qualifying exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful research too.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Fundamentals
    • Chapter 2. Advanced Properties of Topological Spaces
    • Chapter 3. Moore-Smith Convergence and Nets
    • Chapter 4. Function Spaces
  • Additional Material
     
     
  • Reviews
     
     
    • The intention of the guides is to support graduate education in mathematics by providing thumbnail sketches of subject areas that a student might use a a starting point or as a review....The author's depth in anallysis is apparent in his choices of topics...A valuable addition to a serious mathematics library.

      J. McCleary, Choice
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 402009; 107 pp

A Guide to Topology is an introduction to basic topology. It covers point-set topology as well as Moore-Smith convergence and function spaces. It treats continuity, compactness, the separation axioms, connectedness, completeness, the relative topology, the quotient topology, the product topology, and all the other fundamental ideas of the subject. The book is filled with examples and illustrations. Graduate students studying for the qualifying exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful research too.

  • Chapters
  • Chapter 1. Fundamentals
  • Chapter 2. Advanced Properties of Topological Spaces
  • Chapter 3. Moore-Smith Convergence and Nets
  • Chapter 4. Function Spaces
  • The intention of the guides is to support graduate education in mathematics by providing thumbnail sketches of subject areas that a student might use a a starting point or as a review....The author's depth in anallysis is apparent in his choices of topics...A valuable addition to a serious mathematics library.

    J. McCleary, Choice
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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