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

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.