Book:Stephen Barr/Experiments in Topology

Stephen Barr: Experiments in Topology

Published $\text {1964}$, Dover Publications, Inc.

ISBN 0-486-25933-1

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