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Cantor tree

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In mathematical set theory, the Cantor tree is the full binary tree of height ω+1.

References

  • Nyikos, Peter (1989), "The Cantor tree and the Fréchet-Urysohn property", Papers on general topology and related category theory and topological algebra (New York, 1985/1987), Ann. New York Acad. Sci., vol. 552, New York: New York Acad. Sci., pp. 109–123, doi:10.1111/j.1749-6632.1989.tb22391.x, ISBN 978-0-89766-516-2, MR1020779
  • Steen, Lynn Arthur; Seebach, J. Arthur Jr. (1995) [1978], Counterexamples in Topology (Dover reprint of 1978 ed.), Berlin, New York: Springer-Verlag, ISBN 978-0-486-68735-3, MR507446