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Title: | Maximal Chains of Isomorphic Suborders of Countable Ultrahomogeneous Partial Orders | Authors: | Kurilić Miloš Kuzeljević Boriša |
Issue Date: | 2015 | Journal: | Order | Abstract: | © 2014, Springer Science+Business Media Dordrecht. We investigate the poset 〈ℙ(𝕏) ∪ {∅}, ⊂〉, where 𝕏 is a countable ultrahomogeneous partial order and ℙ(𝕏) the set of suborders of 𝕏 isomorphic to 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 ofreals having the minimum non-isolated. | URI: | https://open.uns.ac.rs/handle/123456789/18762 | ISSN: | 0167-8094 | DOI: | 10.1007/s11083-014-9317-9 |
Appears in Collections: | PMF Publikacije/Publications |
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