Abstract
1. Basic definitions 2. Examples 3. Comparison 4. The Heisenberg group 5. Background information 6. Stronger self-similarity for BPI spaces 7. BPI equivalence 8. Convergence of metric spaces 9. Weak tangents 10. Rest stop 11. Spaces looking down on other spaces 12. Regular mappings 13. Sets made from nested cubes 14. Big pieces of bilipschitz mappings 15. Uniformly disconnected spaces 16. Doubling measures and geometry 17. Deformations of BPI spaces 18. Snapshots 19. Some sets that are far from BPI 20. A few more questions References Index
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