Honest leftmost branch

From Wikipedia, the free encyclopedia

In graph theory, a honest leftmost branch of a tree T on ω×γ is a branch f ∈ [T] such that for each branch g ∈ [T], one has ∀ n ∈ ω : f(n)≤g(n). (Here, [T] denotes the set of branches of maximal length of T, ω the ordinal (represented by the natural numbers) N and γ some other ordinal.)

[edit] See also

[edit] References

  • Akihiro Kanamori, The higher infinite, Perspectives in Mathematical Logic, Springer, Berlin, 1997.
  • Yiannis N. Moschovakis, Descriptive set theory, North-Holland, Amsterdam, 1980.


This combinatorics-related article is a stub. You can help Wikipedia by expanding it.