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Undergraduate Texts in Mathematics

Topological Spaces

From Distance to Neighborhood

Authors: Buskes, Gerard, Rooij, Arnoud van

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eBook $49.99
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  • ISBN 978-1-4612-0665-1
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Hardcover $64.95
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  • ISBN 978-0-387-94994-9
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Softcover $64.95
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  • ISBN 978-1-4612-6862-8
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About this Textbook

This book is a text, not a reference, on Point-set Topology. It addresses itself to the student who is proficient in Calculus and has some experience with mathematical rigor, acquired, e.g., via a course in Advanced Calculus or Linear Algebra. To most beginners, Topology offers a double challenge. In addition to the strangeness of concepts and techniques presented by any new subject, there is an abrupt rise of the level of abstraction. It is a bad idea to teach a student two things at the same moment. To mitigate the culture shock, we move from the special to the general, dividing the book into three parts: 1. The Line and the Plane 2. Metric Spaces 3. Topological Spaces. In this way, the student has ample time to get acquainted with new ideas while still on familiar territory. Only after that, the transition to a more abstract point of view takes place. Elementary Topology preeminently is a subject with an extensive ar­ray of technical terms indicating properties of topological spaces. In the main body of the text, we have purposely restricted our mathematical vocabulary as much as is reasonably possible. Such an enterprise is risky. Doubtlessly, many readers will find us too thrifty. To meet them halfway, in Chapter 18 we briefly introduce and discuss a number of topological properties, but even there we do not touch on paracompactness, com­plete normality, and extremal disconnectedness-just to mention three terms that are not really esoteric.

Table of contents (19 chapters)

Buy this book

eBook $49.99
price for USA (gross)
  • ISBN 978-1-4612-0665-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $64.95
price for USA
  • ISBN 978-0-387-94994-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $64.95
price for USA
  • ISBN 978-1-4612-6862-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Topological Spaces
Book Subtitle
From Distance to Neighborhood
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
1997
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0665-1
DOI
10.1007/978-1-4612-0665-1
Hardcover ISBN
978-0-387-94994-9
Softcover ISBN
978-1-4612-6862-8
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XI, 313
Topics