Book:Stephen Barr/Experiments in Topology

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Stephen Barr: Experiments in Topology

Published $1964$, Dover Publications, Inc.

ISBN 0-486-25933-1.


Subject Matter


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