ON THE HISTORY TREE
A tree in set theory is a partial order such that the set of predecessors of each element is well-ordered. We introduce the notion of history tree and give a sufficient condition for the existence of an isomorphism between a tree and its history tree.
tree in set theory, ideal in partial order.
Received: August 2, 2022; Accepted: September 10, 2022; Published: September 27, 2022
How to cite this article: Yonah Cherniavsky and Adi Jarden, On the history tree, Advances and Applications in Discrete Mathematics 34 (2022), 17-21. http://dx.doi.org/10.17654/0974165822040
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References:
[1] Thomas Jech, Set Theory, Springer-Verlag, Berlin Heidelberg, 2003.[2] Kenneth Kunen, Set theory, An Introduction to Independence Proofs, Studies in Logic and the Foundations of Mathematics, Amsterdam, New York, Oxford, Vol. 102, 1980.[3] Assaf Rinot, Antichains in partially ordered sets of singular confinality, Arch. Math. Logic 46(5-6) (2007), 457-464.