Sorry, no online dictionaries contain the exact phrase topological rigidity.
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Reverse dictionary results:
1. ball
 2. suspension
3. knot
4. base
5. cohomology
6. homology
7. topologically
8. topology
9. torus
10. annulus
 11. bifurcation
12. compact
13. compactification
14. contractible
15. dense
16. discrete
17. frontier
18. handle
19. homeomorphism
20. homological
 21. limit point
22. manifold
23. metric
24. metric function
25. metrizable
26. open
27. orbifold
28. path
29. scheme
30. separable
 31. space
32. subspace
33. valuation
34. analysis situs
35. bua
36. bus
37. bus topology
38. domain
39. higher mathematics
40. loop

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