Posets of Copies of Countable Scattered Linear Orders

Abstract

We show that the separative quotient of the poset (P(L),\subset) of isomorphic suborders of a countable scattered linear order L is σ-closed and atomless. So, under the CH, all these posets are forcing-equivalent (to P(ω)/Fin).

arXiv comment21 pages, 2 figures

Cited by in corpus (4)

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• Maximal Chains of Isomorphic Suborders of Countable Ultrahomogeneous Partial Orders
• Forcing With Copies of Countable Ordinals
• Maximally Embeddable Components