Jech–Kunen tree

In mathematics, a Jech–Kunen tree is a tree of power ω₁ and height ω₁ in which the number of branches is greater than ω₁ and less than 2^ω₁. They are named after Thomas Jech (1971) who found the first example, and Kenneth Kunen (1975) who related them to the cardinalities of compact spaces.

References

Jech, Thomas J. (1971), "Trees", Journal of Symbolic Logic, 36: 1–14, doi:10.2307/2271510, MR 0284331
Kunen (1975), "On the cardinality of compact spaces", Notices of the AMS, 22: 212

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