Maximal Chains of Isomorphic Suborders of Countable Ultrahomogeneous Partial Orders
Abstract
We investigate the poset (P(X),⊂), where P(X) is the set of isomorphic suborders of a countable ultrahomogeneous partial order X. For X different from (resp. equal to) a countable antichain the order types of maximal chains in (P(X) \ \,⊂) are characterized as the order types of compact (resp. compact and nowhere dense) sets of reals having the minimum non-isolated.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.