Book:Stephen Barr/Experiments in Topology

Subject Matter

 * Topology

Contents

 * 1. What Is Topology?
 * Euler's Theorem


 * 2. New Surfaces
 * Orientability
 * Dimension
 * Two More Surfaces
 * The Klein Bottle


 * 3. The Shortest Moebius Strip


 * 4. The Conical Moebius Strip


 * 5. The Klein Bottle


 * 6. The Projective Plane
 * Symmetry


 * 7. Map Coloring


 * 8. Networks
 * The Koenigsberg Bridges
 * Betti Numbers
 * Knots


 * 9. The Trial of the Punctured Torus


 * 10. Continuity and Discreteness
 * The "Next Number"
 * Continuity
 * Neighborhoods
 * Limit Points


 * 11. Sets
 * Valid or Merely True?
 * Venn Diagrams
 * Open and Closed Sets
 * Transformations
 * Mapping
 * Homotopy


 * In Conclusion


 * Appendix


 * Index