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Such sets are called triods. R. L. Moore (Concerning Triodstriods in the Planeplane and the Junction Pointsjunction points of Plane Continuaplane continua, Proceedings of the National Academy of Sciences USA, vol. 14, 1928, pp. 85-88) proved that every set of pairwise disjoint triods in the plane is countable.

https://www.pnas.org/doi/abs/10.1073/pnas.14.1.85

Such sets are called triods. R. L. Moore (Concerning Triods in the Plane and the Junction Points of Plane Continua, Proceedings of the National Academy of Sciences, vol. 14, 1928) proved that every set of pairwise disjoint triods in the plane is countable.

https://www.pnas.org/doi/abs/10.1073/pnas.14.1.85

Such sets are called triods. R. L. Moore (Concerning triods in the plane and the junction points of plane continua, Proceedings of the National Academy of Sciences USA, vol. 14, 1928, pp. 85-88) proved that every set of pairwise disjoint triods in the plane is countable.

https://www.pnas.org/doi/abs/10.1073/pnas.14.1.85

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bof
  • 13.4k
  • 2
  • 43
  • 66

Such sets are called triods. R. L. Moore (Concerning Triods in the Plane and the Junction Points of Plane Continua, Proceedings of the National Academy of Sciences, vol. 14, 1928) proved that every set of pairwise disjoint triods in the plane is countable.

https://www.pnas.org/doi/abs/10.1073/pnas.14.1.85