Explorations in topology : map coloring, surfaces and knots / David A. Gay.

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...

Full description

Saved in:
Bibliographic Details
Online Access: Full Text (via ScienceDirect)
Main Author: Gay, David
Format: eBook
Language:English
Published: London : Elsevier, 2014.
Edition:2nd ed.
Series:Elsevier insights.
Subjects:
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 Mobius 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.