Coloring linear orders with Rado's partial order

نویسندگان

  • Riccardo Camerlo
  • Alberto Marcone
چکیده

Let 1R be the preorder of embeddability between countable linear orders colored with elements of Rado’s partial order (a standard example of a wqo which is not a bqo). We show that 1R has fairly high complexity with respect to Borel reducibility (e.g. if P is a Borel preorder then P ≤B 1R), although its exact classification remains open.

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عنوان ژورنال:
  • Math. Log. Q.

دوره 53  شماره 

صفحات  -

تاریخ انتشار 2007