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References to 'disjoint union'
1. $\mathbb{R}^2 \setminus C$ is path connected if $C$ is countable by silverfish
2. adjunction space by antonio
3. alternative characterization of ultrafilter by yark
4. atomic formula by CWoo
5. betweenness in rays by CWoo
6. Boolean operations on automata by CWoo
7. Burnside ring by joking
8. Cantor-Bendixson theorem by CWoo
9. chain by CWoo
10. concepts in set theory by matte
11. conjugacy in $A_n$ by rm50
12. connected sum by bwebste
13. constructing well ordered sets by CWoo
14. counterexamples for products and coproduct by Algeboy
15. Dehn surgery by bwebste
16. Eulerian poset by mps
17. example of a connected space that is not path-connected by yark
18. fence by CWoo
19. first order language by CWoo
20. free semigroup with involution by Mazzu
21. jet bundle by rspuzio
22. join by mathcam
23. juxtaposition of automata by CWoo
24. Kleene star of an automaton by CWoo
25. left and right cosets in a double coset by asteroid
26. operations on relations by CWoo
27. proof of Banach-Tarski paradox by GrafZahl
28. proof of class equation theorem by gumau
29. proof of Hausdorff paradox by GrafZahl
30. proof of Minkowski's theorem by rm50
31. proof that products of connected spaces are connected by yark
32. properties for measure by matte
33. rational transducer by CWoo
34. round complexity by juanman
35. scattered space by CWoo
36. semilattice decomposition of a semigroup by mclase
37. sheaf of sections by guffin
38. Souslin scheme by gel
39. submanifold by jirka
40. sums of compact pavings are compact by gel
41. tangent bundle by bwebste
42. tangle by apollonius
43. uniform neighborhood by CWoo