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Fields with two linear orderings

✍ Scribed by S. V. Bredikhin; Yu. L. Ershov; V. E. Kal'nei

Publisher: SP MAIK Nauka/Interperiodica
Year: 1970
Tongue: English
Weight: 379 KB
Volume: 7
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01123840

No coin nor oath required. For personal study only.

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## Abstract Let ⪯~R~ 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 ⪯~R~ has fairly high complexity with respect to Borel reducibility (e.g. if __P__ is a Borel preorder, t