Sorry, no online dictionaries contain the exact phrase nontrivial topology.
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Reverse dictionary results:
1. analogous
 2. analagous
3. calculable
4. complex
5. determinable
6. deterministic
7. equilibrium
8. fundamental
9. important
10. invariant
 11. motivational
12. portant
13. puzzling
14. semantic
15. significant
16. solvable
17. specifiable
18. understood
19. analysis situs
20. base
 21. cohomology
22. homology
23. loop
24. topological
25. topologically
26. bua
27. bus
28. bus topology
29. domain
30. higher mathematics
 31. knot
32. loop topology
33. mesh
34. mesh topology
35. meshing
36. normal
37. nus
38. sheaf
39. star
40. star topology

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