Sorry, no online dictionaries contain the exact phrase compact semigroup.
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Reverse dictionary results:
1. commutator
 2. commute
3. field
4. lesion
5. derivative
6. integral
7. manifold
8. abelian group
9. algebra
10. commutative group
 11. commutativity
12. algebraic
13. algebras
14. antisemigroup
15. attractor
16. attractors
17. automaton
18. bending
19. commutative
20. digraph
 21. functionals
22. graph
23. inverse
24. inverse semigroup
25. manifolds
26. mappings
27. non-semigroup
28. recursion
29. semigroups
30. subspace
 31. subspaces
32. aad
33. accord
34. agreement
35. alabaster
36. album
37. alliance
38. allied
39. anthracite
40. asphalt

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