Explorations in topology : map coloring, surfaces, and knots /

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Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will h...

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Bibliographic Details
Main Author: Gay, David
Format: Printed Book
Language:English
Published: Amsterdam: Elsevier, 2014.
Edition:Second edition.
Series:Elsevier insights.
Subjects:
Knot theory.
Topology.
Euler characteristic
Klein Bottle and Möbius Strip
Table of Contents:
  • 1. Acme does maps and considers coloring them
  • 2. Tours
  • 3. Maps data
  • 4. Map data and map coloring
  • 5. How to color a map with four colors
  • 6. Doughnuts
  • 7. The Möbius strip
  • 8. New worlds: Klein bottles and other surfaces
  • 9. Surface sums and Euler numbers
  • 10. Classification of surfaces
  • 11. Classification (Part II), existence and four-space
  • 12. Coloring maps on surfaces
  • 13. Knots
  • 14. Projects.

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